Qualifications: For Full Resume
Ph. D. ( Acoustics, Institute of Sound and Vibrations Research, University of Southampton, England )

Areas of interest:

Nonlinear Dynamics and Chaos, Advanced Signal Processing, Cryptography, Application of Mathematics to Biological Sciences.

Milestones in career:

Lockheed, Boeing, Purdue and Washington State University, NASA fellowships at
Langley and Ames, Center for Mathematical Modelling and Computer Simulation in
Bangalore.

Major works:

Transmission of Sonic Booms, Supersonic Fan Noise, modelling  of Pathogenesis, Chaotic Synchronization and Invention of Chaotic Cryptography, Advanced Signal processing

Courses Designed

Differential Equations with "Manifold" Applications

Publications
 
JOURNAL PAPERS (R), INVITED PAPERS (I), AND OTHER CONFERENCE PAPERS:

R184. Nagaraj, N. and Vaidya, P.G., "Multiplexing of Discrete Chaotic Signals in the Presence of Noise," Chaos, to appear in September 2009.

183. Vaidya, P.G. and Majumder, S., "Modifying Some Foliated Dynamical Systems to Guide their Trajectories to Specified Sub-Manifolds," to be presented at EQUADIFF 12, Brno, Czech Republic, July 2009.

182. Vaidya, P.G. and Majumder, S. "A Preliminary Investigation of the Feasibility of using SVD and Algebraic Topology to Study Dynamics on Manifold," to be presented at CAT 09, Warsaw, Poland, July 2009.

R181. Nagaraj, N., Vaidya, P.G., and Bhat, K.G., "Arithmetic Coding as a Non-linear Dynamical System," Communications in Nonlinear Science and Numerical Simulation, 14(4), 1013-1020, 2009. [3]

180. Nagaraj, N. and Vaidya, P.G., "Multiplexing of Discrete Chaotic Signals in the Presence of Noise," National Conference on Non-linear Systems and Dynamics, Saha Institute of Nuclear Physics, Kolkata, India, March 2009.

R179. Nagaraj, N., Shastry, M.C., and Vaidya, P.G., "Increasing Average Period Lengths by Switching of Robust Chaos Maps in Finite Precision," European Physics Journal - Special Topics, 165, 73-83, 2008. [2]

R178. Nagaraj, N., Vaidya, V., and Vaidya, P.G., "Re-visiting the One-Time Pad," International Journal of Network Security, 6(1), 94-102, 2008. [1]

R177. Vaidya, P.G. and Nagaraj, N., "Foundational Issues of Chaos and Randomness: "God or Devil, do we have a Choice?" in Foundations of Science, B.V. Sreekantan, ed. (New Delhi: Project of History of Indian Science, Philosophy and Culture, 2008). [2]

R176. Vaidya, P.G. and Majumder, S., "Embedding in Higher Dimension Causes Ambiguity for the Problem of Determining Equation from Data," European Journal of Physics Special Issue, 2008. [2]

175. Nagaraj, N. and Vaidya, P.G., "Perfect Secrecy Systems, Lossless Compression and Logic Gates: A Unifying Theme using Nonlinear Dynamical Systems," International Conference on Nonlinear Dynamical Systems and Turbulence, Indian Institute of Science, Bangalore, India, 2008.

172. Vaidya, P.G., "What is so worrisome about a perfectly uniform heartbeat?" International Biomedical Modeling School and Workshop, National Centre for Biological Sciences, Bangalore, India, March 2008.

171. Nagaraj, N., and Vaidya, P.G., "Joint Source Coding, Channel Coding, and Encryption using Nonlinear Dynamical Systems Approach," International Conference on Recent Developments in Nonlinear Dynamics, Bharathidasan University, Trichy, India, February 2008.

170. Vaidya, P.G., Anand, S., Nagaraj, N., "A Non-linear Generalization of Singular Value Decomposition and its Application to Cryptanalysis," International Conference on Applied Multivariate Data Analysis with Applications to Life, Social and Environmental Sciences, Usmania University, Hyderabad, January 2008.

169. Vaidya, P.G. and Majumder, S., "Critical Evaluation of a Method for Non-linear System Identification," poster presented at National Conference on Non-linear Systems and Dynamics, Physical Research Laboratory, Ahmedabad, India, January 2008.

168. Nagaraj, N., and Vaidya, P.G., "A Non-linear Dynamical Systems Approach to Source Coding," National Conference on Nonlinear Systems and Dynamics, Physical Research Laboratory, Ahmedabad, India, January 2008.

167. Tallapragada, P., Nagaraj, N., and Vaidya, P.G., "Coding and Decoding Programs using Chaotic Dynamical Systems," National Conference on Nonlinear Systems and Dynamics, Physical Research Laboratory, Ahmedabad, India, January 2008.

166. Vaidya, P.G., "Separating a Mixture of Chaotic Signals using Symbolic Dynamics," Non-linear Dynamics and Chaos: Advances and Perspectives, Aberdeen, UK, September 2007.

165. Vaidya, P.G., "Explaining the Measurements of Trans-spectral Coherence in Chaotic Signals using the Theory of Time Delay Embedding," Conference on Non-linear Dynamics and Chaos: Advances and Perspectives, Aberdeen, UK, September 2007.

164. Nagaraj, N., Shastry, M.C., and Vaidya, P.G., "Switching of Non-Linear Dynamical Systems and its Effect on Round-off Induced Periodicity with Applications to Pseudo-random Number Generation," Conference on Non-linear Dynamics and Chaos: Advances and Perspectives, Aberdeen, UK, September 2007.

163. Nagaraj, N., Vaidya, P.G., and Rajesh Sundaresan, "A Dynamical Systems Approach to Source Compression for Constrained Sources," Conference on Non-linear Dynamics and Chaos: Advances and Perspectives, Aberdeen, UK, September 2007.

162. Vaidya, P.G. and Majumder, S., "Embedding in Higher Dimension Causes Ambiguity for the Problem of Determining Equation from Data," poster presented at Conference on Non-linear Dynamics and Chaos: Advances and Perspectives, Aberdeen, UK, September 2007.

161. Vaidya, P.G., Anand, S., Nagaraj, N., "Recovering Non-linearity from Chaotic Data in the Presence of Noise," International Conference on Stochastic Processes and Applications, Indian Institute of Science, Bangalore, July 2007.

160. Shastry, M.C., Nagaraj, N. and Vaidya, P.G., "A Generalization of the Logistic Map and its Applications in Generating Pseudo-Random Numbers," International Conference on Mathematical Modeling and Computer Simulation, LNMIIT, Jaipur, India, December 2006.

159. Vaidya, P.G., Bhat, K.G., and Vaidya, G. "Analysis of the Sound Spectra of Human Laughter," at the International Conference on Mathematical Modeling and Computer Simulation, LNM IIT, Jaipur, India, December 2006.

158. Vaidya, P.G., Bhat, K.G., and Vaidya, G. "Modeling and Analysis of Animal Sounds," International Conference on Mathematical Modeling and Computer Simulation LNM IIT, Jaipur, India, December 2006.

157. Vaidya, P.G., N Nagaraj, and Anand, S., "Non-linear Analysis and Modeling of Ocean Floor Data using Topological Derivative Embedding," at the International Conference on Mathematical Modeling and Computer Simulation, LNM IIT, Jaipur, India, December 2006.

156. Nagaraj, N., Vaidya, P.G. and Bhat, K.G., "Joint Arithmetic Coding and Encryption using Chaotic Maps," National Conference on Mathematical Foundations of Coding, Complexity, Computation and Cryptography, Indian Institute of Science, Bangalore, India, July 2006.

155. Shastry, M.C., Nagaraj, N., and Vaidya, P.G., "The B-Exponential Map: A Generalization of the Logistic Map, and Its Applications In Generating Pseudo-random Numbers," arXiv.org:cs/0607069, July 2006. [3]

154. Vaidya, P.G., "R-R Variability and Synchronization of Cardiac Cells," Conference on Systems Biology Dynamics: from Genes to Organisms, McGill University, Montreal, QC, May 2006.

153. Vaidya, P.G., Nagaraj, N., and Anand, S., "Topological Derivatives and other
Embeddings for Ocean Floor Tsunami Data," poster presented at International Conference on Tsunami & Non-linear Waves, Saha Institute of Nuclear Physics, Salt Lake, Calcutta, India, March 2006.

R152. Vaidya, P.G., Anand, S., "Rapid Chaotic Synchronization by Intermittent Driving Signals," Proceedings of National Conference on Nonlinear Systems and Dynamics, 99-101, 2006.

151. Vaidya, P.G., "Coding, Theory, Cryptography," Workshop on Number Theory and Cryptography, IISc Mathematics Initiative (IMI), Department of Mathematics, Indian Institute of Science, February 2006.

150. Vaidya, P.G., "Periodicity, Chaos, and Randomness," Workshop on Foundations of Sciences, NIAS, February 2006.

149. Vaidya, P.G. and Anand, S., "Cryptography based on Chaotic Synchronization: Round III," Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai, India, February 2006.

R148. Vaidya, P.G. and Anand, S., "Predicting Equation from Chaotic Data by Nonlinear Singular value decomposition," (http://arxiv.org/abs/nlin.CD/0605044), under review.

147. Vaidya, P.G., "Separating the influence of Brain signals from the Dynamics of Heart, 346, WE-Heraeus-Seminar, Cardiovascular Physics - Model Based Data Analysis of Heart Rhythm," Physikzentrum Bad Honnef, Germany, May 2005.

146. Vaidya, P.G., "Synchronizability of Cardiac Cells, 346, WE-Heraeus-Seminar, Cardiovascular Physics - Model Based Data Analysis of Heart Rhythm," Physikzentrum Bad Honnef, Germany, May 2005.

145. Vaidya, P.G. and Tim Poston, "Stochastic Variety in ECG Data, 346, WE-Heraeus-Seminar, Cardiovascular Physics - Model Based Data Analysis of Heart Rhythm," Physikzentrum Bad Honnef, Germany, May 2005.

144. Vaidya, P.G., "Reduction of Noise from an Experimental Data Set, using Noise-free Samples
from the Same Source," Experimental Chaos Conference 8, Florence, Italy, June 2004.

143. Vaidya, P.G., "Obtaining Low-Dimensional Autonomous Equations from ECG and EEG
Data," Experimental Chaos Conference 8, Florence, Italy, June 2004.

142. Vaidya, P.G., "Synchronizability of Stable Limit Cycles under the Influence of Small
Disturbances," Experimental Chaos Conference 8, Florence, Italy, June 2004.

R141. Vaidya, P.G., ``Preliminary Case for a Hypothesis of the Superconscious,'' in Science and Beyond: Cosmology, Consciousness and Technology in the Indic Traditions, eds. S. Menon, B.V. Sreekantan, A. Sinha, P. Clayton, R. Narasimha (Bangalore, India: National Institute of Advanced Studies, 2004).

140. Vaidya, P.G., "Chaos theory and Foundations of Science," Workshop on Foundations of Science, National Institute of Advanced Studies, Bangalore, India, February 2004.

139. Vaidya, P.G. and Angadi, S., "Cryptanalysis and Chaotic Cryptography," National
Workshop on Cryptology, Chennai, India, October 2003.

138. Vaidya, P.G., "An Explicit Procedure to Derive an Autonomous Two-dimensional Ordinary Differential Equation for a Periodic Orbit," Equadiff 2003: International Conference on Differential Equations, LUC Diepenbeek, Hasselt, Belgium, July 2003.

137. Vaidya, P.G., "Separating a Mixture of a Large Number of Chaotic Signals and Noise," Summer School on Dynamical Systems, Porto, Portugal, July 2003.

R136. Vaidya, P.G., "Monitoring and Speeding-up of Chaotic Synchronization," Chaos, Solitons, and Fractals 17(2), 433-439, 2003. [8]

R135. Vaidya, P.G. and Angadi, S., "Decoding Cryptography Based on Chaotic Synchronization, without an Access to the Super key," Chaos, Solitons, and Fractals, 17(2), 379-386, 2003. [22]

134. Vaidya, P.G., "Whitney Embedding Theorem and the Transspectral Coherence and Phase Resonance in DFT," SDS, Capitolo - Momopoli, Bari, Italy, June 2003.

R133. Vaidya, P.G. and Angadi, S., "A Method to Enhance Noise Reduction for Data Generated from a Known Differential Equation," Progress of Theoretical Physics, 150, 2003.

R132. Vaidya, P.G. and Angadi, S., "A Computational Procedure to Generate Difference
Equations from Differential Equations and its Applications," New Progress in Difference Equations: the Proceedings of the 6th ICDEA in Augsburg, 537-547. 2003. [1]

131. Vaidya, P.G., V. Kannan and Angadi, S., "Some Applications of Julia-like sets," National Conference on Julia Sets, University of Hyderabad, Hyderabad, India, June 2002.

130. Vaidya, P.G., "Past and Future of Chaos," National Conference on Julia Sets, National conference on Julia Sets, University of Hyderabad, Hyderabad, India, June 2002.

129. Vaidya, P.G. and Angadi, S., "A Method to Enhance Noise Reduction for Data Generated from a Known Differential Equation," Conference on Mathematical Modeling and Computer Simulation, Centre for Mathematical Modeling and Computer Simulation, Bangalore, India, November 2002.

128. Vaidya, P.G., "An Information Theoretic Approach to the Issues of Collective Unconscious and the Super Conscious," National Conference on Yoga and Indian Approaches to Psychology, Sri Aurobindo Centre for Consciousness Studies, Pondicherry, India, September 2002.

127. Vaidya, P.G. and Angadi, S., "Accurate Derivative Embedding for ECG Data," Sixth International Conference on Experimental Chaos, Potsdam, Germany, July 2002.

126. Vaidya, P.G., T.R. Shridhar, Angadi, S., Vaidya, A., "Use of Derivative Embedding to Assist Speaker Recognition," Sixth International Conference on Experimental Chaos, Potsdam, Germany, July 2002.

125. Vaidya, P.G. and Angadi, S., "A Method to Enhance Noise Reduction for Data Generated from a Known Differential Equation," Let's face Chaos through Nonlinear Dynamics, University of Maribor, Slovenia, July 2002.

124. Vaidya, P.G. and Angadi, S., "Nonlinear Dynamics of Pathogenesis and Prognosis Factor" Let's face Chaos through Nonlinear Dynamics, University of Maribor, Slovenia, July 2002.

123. Vaidya, P.G. and Angadi, S., "Decoding Cryptography based on Chaotic Synchronization, without Access to the Super Key," Applied Nonlinear Dynamics Conference, Thessaloniki, Greece, August 2001.

122. Vaidya, P.G., "Monitoring and Speeding Up Chaotic Synchronization," Applied Nonlinear Dynamics Conference, Thessaloniki, Greece, August 2001.

121. Vaidya, P.G. and Kannan, V., "Proof of the Existence of Nonergodic Wandering Orbits in the Tent and Related Maps," Sixth International Conference on Difference Equations and Applications, University of Augsburg, Germany, July 2001.

120. Vaidya, P.G. and Angadi, S., "A Computational Procedure to generate Difference Equations from Differential Equation and its Applications," Sixth International Conference on Difference Equations and Applications, University of Augsburg, Germany, July 2001.

119. Vaidya, P.G., Angadi, S., Mazzega, P., Narasimha, R., "The Extended Differential Equations and their Applications to Fundamental Problems of Mathematical Modeling," NEERI, Nagpur, India, October 2000.

R118. He, R. and Vaidya, P.G., "Time Delayed Chaotic Systems and their Synchronization,"
Physical Review E, 59, 4048-4051, 1999. [14]

R117. Vaidya, P.G., "The geometry and Nonlinear Dynamics of Pathogenesis," Sadhana, 24(1), 1999.

R116. Vaidya, P.G., "A new Method to Embed Time-Series Data and for Parameter Identification," Journal of the Indian Institute of Science, 78, 257-265, 1998. [3]

115. Vaidya, P.G., "An Analysis of Cryptography Based on Chaos- Advanced Results," National
Seminar on Cryptography, New Delhi, July 1998.

114. Vaidya, P.G., "An Analysis of Cryptography Based on Chaos- Basic Principles," National
Seminar on Cryptography, New Delhi, July 1998.

R113. Vaidya, P.G. and He, R., "An Analysis of the Trans-Spectral Coherence for Duffing
Oscillators Undergoing Chaos," Journal of Sound and Vibrations, 212(3): 435-454, 1998. [1]

R112. He, R. and Vaidya, P.G., "Implementation of Chaotic Cryptography with Chaotic
Synchronization," Physical Review E, 57(2): 1532-1535, 1998. [28]

111. Vaidya, P.G. and Pradhan, N., "Modeling and Analysis of the EEG data," International Conference on the Nonlinear Dynamics of Brain Function, Indian Institute of Science, Banglore, India, February 1998.

110. Vaidya, P.G. and Prasad, P., "An Application of Lie Groups to Study the Trans-Spectral Coherence in Chaos," International Conference on Nonlinear Dynamics, Indian Institute of Science, Bangalore, January 1997.

109. Vaidya, P.G., and Winkel, C., "An Application of the Caseygrams to Detect Chaos in
Human Speech," 131st meeting of the Acoustical Society of America, Indianapolis, IN, May 1996. (Selected for press release by the APS)

I108. Vaidya, P.G., " Applications of the Trans-Spectral Coherence Technique," 131st meeting of the Acoustical Society of America, Indianapolis, IN, May 1996.

107. Winkel, C., Shipley, K., Vaidya, P.G., and Doughty, T., "Frequency Normalized Leakage Correction Technique," 129th meeting of the Acoustical Society of America, Washington DC, May 1995.

106. Shipley, K., Winkel, C., and Vaidya, P.G., "Removal of Phase Distortions from Vowel-like Signals," 129th meeting of the Acoustical Society of America, Washington DC, May 1995.

R105. He, R. and Vaidya, P.G., "Observations of Invariant Structures in the Chaotic Response of Lorenz and other Systems," Journal of Sound and Vibrations, May 1995. [3]

104. Vaidya, P.G., Shipley, K., and Winkel, C., "Using T.S.C. to Analyze Speech Sounds", 127th meeting of the Acoustical Society of America, Cambridge, MA, June 1994.

103. Bettridge, J.A., Vaidya, P.G., de Sam Lazaro, A., "A Deterministic Approach to Image Stabilization for a Double Pendulum," Proceedings of the ASME International Conference on Computers in Engineering, San Diego CA, August 1993.

102. Vaidya, P.G. and He, R., "The Transfer of Information between Synchronized Chaotic Systems," Proceedings of the conference on Chaos and Communications, published by SPIE, The International Society for Optical Engineering, 2038: 205-216, 1993.

I101. Vaidya, P.G. and He, R., "The Synchronization of Chaotic Systems and its Application," Invited Keynote Paper, Proceedings of The Sixteenth Congress on Theoretical and Applied Mechanics, National Taiwan Ocean University, Keelung, Taiwan, R. O. C., December 1992.

R100. He, R. and Vaidya, P.G., "Analysis and Synthesis of Synchronous Chaotic and Periodic
Systems," Physical Review A, 46: 7387, 1992. [101]

99. Vaidya, P.G., "An Early Warning System for the Onset of Chaos: A Popular Version of a
Paper to be Presented at the 124th meeting of the Acoustical Society of America," News Release, 1992.

98. Vaidya, P.G., He, R. and Doughty, T., "Premonitions of Chaos," 124th meeting of the
Acoustical Society of America, New Orleans, LA, October 1992.

97. He, R. and Vaidya, P.G., "Designing Synchronous Chaotic Systems," 124th meeting of the
Acoustical Society of America, New Orleans, LA, October 1992.

R96. Anderson, M.J. and Vaidya, P.G., "Thermo-viscous effects on Finite Amplitude Sound
Propagation in a Rectangular Waveguide," Journal of the Acoustical Society of America, 90(2): 1056-1067, 1991. [2]

95. Vaidya, P.G., "Some Recent Developments in the Analysis and Prediction of Nonlinear
Dynamical Systems," Nonlinear Ocean Waves Symposium sponsored by the ONR, Applied
Physics Labs, Baltimore, MD, May 1991.

R94. Vaidya, P.G. and Anderson, M.J., "Use of the Trans-Spectral-Coherence Technique to
Separate Signals from Noise," Journal of the Acoustical Society of America, 89(5): 2370-2378, 1991. [2]

93. Vaidya, P.G. and Athalye, A., "Existence of a Hierarchy of Periodic Components in the Solution of the Duffing's Equation, Undergoing Chaos," 121st meeting of the Acoustical Society of America, Baltimore MD, May 1991.

92. Vaidya, P.G., "The Trans-spectral Coherence in the Solution of the Duffing's Equation,
Undergoing Chaos," 121st meeting of the Acoustical Society of America, Baltimore MD, May 1991.

R91. Vaidya, P.G., Vaidya, V.G., and Martin, D.G., "An Application of the Nonlinear Bifurcation Theory to Tumor Growth Modelling," International Journal of Bio-Medical Computing, 27: 27-46, 1991. [4]

R90. Anderson, M.J. and Vaidya, P.G., "The Application of the Method of Multiple scales to Linear Waveguide Boundary Value Problems," Journal of the Acoustical Society of America, 88(5): 2450-2458, 1990. [1]

89. Roedell, J., Vaidya, P.G., and Bayoumi, A.E., "Experimental Determination of the Speed
of Sound in Solids using Impact Loading," 120th meeting of the Acoustical Society of America,
San Diego, CA, November 1990.

88. Anderson, M.J. and Vaidya, P.G., "The Propagation of Higher Order Mode, High Intensity
Sound in Ducts: The Case of Imperfect Resonance," 120th meeting of the Acoustical Society of America, San Diego, CA, November 1990.

87. Vaidya, P.G., He, R. and Anderson, M.J., "Synchronization of Chaotic Systems," 120th meeting of the Acoustical Society of America, San Diego, CA, November 1990.

86. Vaidya, P.G. and He, R., "The Removal of Noise from a Voice-like Signal," 120th meeting of the Acoustical Society of America, San Diego, CA, November 1990.

R85. Anderson, M.J. and Vaidya, P.G., "The Role of Viscous and Thermal Boundary Layer
Processes in Finite Amplitude Sound Propagation in Waveguides," Frontiers of Nonlinear
Acoustics: Proceedings of the Twelfth International Symposium on Nonlinear acoustics, 309-
314 (London: Elsevier Science Publishers, 1990).

84. English, C., Vaidya, P.G., and S. Wojcicki, "On Modelling of a Combustion Driven Pulse
Flow Water Heater: The Case Study of an Autocyclomaton," Spring Technical
Meeting of the Combustion Institute, Banff, BC, April 1990.

R83. Anderson, M.J. and Vaidya, P.G., "Propagation of Sound in Ducts with Finite Thermal
Conductivity," Journal of the Acoustical Society of America, 86(6): 2385-2396,
December 1989.

82. Vaidya, P.G., "The Separation of two Voice-like Signals," 118th meeting of
The Acoustical Society of America, St. Louis MO, November 1989.

81. Vaidya, P.G., Girard, J.J., and Moulten, C.L., "The Sources of Trans-Spectral Coherence in
The Radiation from Rotating Blades," 118th meeting of The Acoustical Society of America, St. Louis MO, November 1989.

R80. Vaidya, P.G., Finnerty, P. and Bergman, A., "Dynamics of Complex Systems," Dynamics
Newsletter, 3: 5, 1989.

79. Vaidya, P.G. and Anderson, M.J., "The Use of the Trans-Spectral-Coherence Technique to
Separate a Signal from Noise," Second Joint Meeting of the Japanese Acoustical Society and the
Acoustical Society of America, Honolulu HI, November 1988.

78. Vaidya, P.G., "Self-excited Oscillation of and the Acoustic Reaction From Reed Instruments,"
Second Joint Meeting of the Japanese Acoustical Society and the Acoustical Society of America, Honolulu HI, November 1988.

77. Vaidya, P.G., "An Application of Nonlinear Dynamics to Pathogenesis," Santa Fe Institute,
Santa Fe NM, June 1988.

76. Vaidya, P.G., "Propagation of Sound in Presence of Axial and Transverse Mean Flow
Gradients," Acoustical Society of America, Seattle, WA, May 1988.

75. Vaidya, P.G. and Martin, D.G., "Analytic Solutions to the Wave Equation in a Duct Lined
With Axially Nonuniform Absorbents," 113th Meeting of the Acoustical Society of America,
Indianapolis, IN, May 1987.

74. Martin, D.G. and Vaidya, P.G., "Analytic Solutions to the Wave Equation in a Duct Lined
With Circumferentially Nonuniform Absorbents," 113th Meeting of the Acoustical Society of
America, Indianapolis, IN, May 1987.

R73. Vaidya, P.G., "An Application of the Catastrophe and Bifurcation Theories to the Issue of the Critical Mass in Pathogenesis," Proceedings of Modeling and Simulation Conference, University of Pittsburgh, April 1987.

R72. Chung, J.N., Vaidya, P.G., et al., "Controlled Porosity of Glass," Final Report, Battelle/ NASA-Lewis, January 1987.

R71. Vaidya, P.G., Chung, J.N., et al., "Controlled Porosity of Glass, Feasibility Report," Report to Battelle/NASA-Lewis, October 1986.

70. Vaidya, P.G., "Feasibility of Controlling Porosity of Glass by Acoustic Means," Battelle
NASA-Lewis Meeting, Columbus, OH, June 1986.

R69. Vaidya, V.G., Alexandro, F.J., and Vaidya, P.G., "A Bilinear Control for Tumor Growth and Chemotherapy," International Journal of Biomedical Computing, 17: 145-154, 1985.

R68. Vaidya, P.G., "The Propagation of Sound in Ducts Lined with Circumferentially Nonuniform Admittance Parameter of the Form: ho+hqexp(iqq)," Journal of Sound and Vibrations, 100: 463-475, 1985. [3]

67. Vaidya, P.G., Vaidya, V.G., and Martin, D.G., "The Modeling of Tumor Growth as a Nonlinear Bifurcation," Fifth International Conference on Mathematical Modeling, Berkeley, CA, July 1985.

66. Vaidya, P.G. and Kendall, L.A., "An Inductive Inference Algorithm to Generate Higher Order
Data Structures from the Lower Order Structures," in Advances in Robotics, Proceedings of
IASTED International Symposium on Robotics and Automation, Santa Barbara, CA, 1985.

R65. Vaidya, P.G., "A Note on the Conversion of Boundary Value Problems into Initial Value
Problems in Duct Acoustics," Journal of Sound and Vibrations, 100: 581-587, 1985.

R64. Vaidya, P.G., "An Analysis of the Multiple Pure Tones Generated by Aeroengine Fans at
Subsonic and Supersonic Tip Speeds," AIAA Journal, 22: 1366-1374, 1984. [1]

63. Vaidya, P.G., "The Propagation of Spinning Modes through Nearly Choked Inlets," 107th
Meeting of the Acoustical Society of America, Norfolk, VA, May 1984.

62. Vaidya, P.G., "Mode Shapes and Propagation Characteristics for Waves Propagating in
Nonuniformly Lined Ducts," 107th Meeting of the Acoustical Society of America, Norfolk, VA, May 1984.

R61. Vaidya, V.G., Alexandro, F.J., and Vaidya, P.G., "Tumor Growth Modeling and Its Application to Drug Scheduling," Proceedings of the Modeling and Simulation Conference, University of Pittsburgh, Pittsburgh, PA, April 1984.

60. Vaidya, P.G., "Solutions of Some Problems in Duct Acoustics Using Nonseparable Modes," 105th Meeting of the Acoustical Society of America, Cincinnati, OH, May 1983.

59. Vaidya, P.G., "Resonant, Self and Mutual Interactions of Sound and Vorticity," Meeting of the American Physical Society, New Brunswick, NJ, November 1982.

58. Vaidya, P.G., "Control of Vorticity by Sound," 103rd Meeting of the Acoustical Society of America, Chicago, April 1982.

57. Vaidya, P.G., "Propagation of Sound in Flows Containing Mean Flow Gradients," Reprints of the Seventh Aeroacoustics Conference of the AIAA, #81-1987, Palo Alto, CA, October 1981.

56. Vaidya, P.G., "Propagation of Sound in Ducts Lined with Circumferentially Non-uniform Absorbents", presented at the 101st Meeting of the Acoustical Society of America, Ottawa, ON, May 1981.

R55. Clark, T.L., Slotboom, D., and Vaidya, P.G., "Investigation of the Effects of Inlet Shapes on Fan Noise Radiation," NASA CR-3416, 1980.

54. Vaidya, P.G. and Slotboom, D., "The Radiation Pattern of Asymmetric Inlets," Reprints of the 6th Aeroacoustics Conference of the AIAA, Hartford, CT, June 1980. \#80-0967.

53. Vaidya, P.G., "Three Types of Buzzsaw Noise in Axial Flow Fans," Sixth Aeroacoustics Conference of the AIAA, Hartford, CT, June 1980.

R52. Vaidya, P.G., "Duct Acoustics" section in "Workshop Report for the 4th AIAA Aeroacoustics Conference," Journal of Aircraft, 16: 35-40, 1979.

51. Vaidya, P.G. and Simcox, C.D., "Strong Interactions of Vorticity and Acoustic Waves," Joint Meeting of the Acoustical Societies of America and Japan, Honolulu, HI, November 1978.

R50. Vaidya, P.G. and Wang, K.S., "Nonlinear Resonance as the Cause of Multiple Pure Tones," Journal of Aircraft, 15: 526-533, 1978.

I49. Vaidya, P.G., "Nonlinear Duct Acoustics and Its Application to Fan Noise," Winter Annual Meeting of the ASME, Atlanta, GA, November 1977.

48. Vaidya, P.G., "The Finite Length Green's Function and Their Applications to Duct Acoustics," Fourth Aeroacoustics Conference of the AIAA, Atlanta, GA, October 1977. #77-1298.

47. Vaidya, P.G., "Alternative Approaches to the Modeling of the Multiple Pure Tones," 4th Aeroacoustics Conference of the AIAA, Atlanta, GA, October 1977. #77-1344

I46. Vaidya, P.G. and Dean. P.D., "State of the Art of Duct Acoustics," 4th Aeroacoustics Conference of the AIAA, Atlanta, GA, October 1977.

45. Vaidya, P.G., "Demonstration of Strong Resonance of Spinning Modes in Annular Ducts," 93rd Meeting of Acoustical Society of America, June 1977.

R44. Vaidya, P.G. and Wang, K.S., "Nonlinear Propagation of Complex Sound Fields in Rectangular Ducts I: The Self Excitation Phenomenon," Journal of Sound and Vibration, 50: 29-42, 1977. [2]

43. Vaidya, P.G. and Wang, K.S., "Finite Amplitude Analysis of Sound Propagation in Annular Ducts," Seventh International Symposium on Nonlinear Acoustics, Blacksburg, VA, August 1976.

42. Vaidya, P.G., "An Analysis of the Generation of Subharmonics in Aeroengine Ducts and Methods of Their Prevention," Third Aeroacoustics Conference of the AIAA, Palo Alto, CA, June 1976. #76-512.

I41. Vaidya, P.G., "Suppressors III," NASA-Lewis Specialists Conference on Basic Noise Research, Cleveland, OH, May 1976.

R40. Vaidya, P.G., Shashaani, R., and Sullivan, J., "Multiple Pure Tone Noise Radiation from a Supersonic Rotor Propagating in an Acoustically-Treated Duct: Final Report," NASA Final Report No. 4, Herrick Lab Report No. HL 75-11, 1975.

I39. Vaidya, P.G., "Sound Propagation Outdoors," Conference on Reduction of Machinery Noise, Purdue University, West Lafayette, IN, December 1975.

I38. Vaidya, P.G., Shashaani, R. and Wang, K.S., "Multiple Pure Tone Noise Radiation from a Supersonic Rotor Propagation in an Acoustically Treated Duct," Third Inter-Agency Symposium, Salt Lake City, Utah, 1975.

R37. Vaidya, P.G. and Wang, K.S., "On a Mechanism of Generation and Suppression of Multiple Pure Tones in Aircraft Ducts," NASA TR 5, Herrick Lab Report No. HL 75-36, November 1975.

R36. Vaidya, P.G. and Wang, K.S., "Propagation of High Amplitude Higher Order Mode Sounds in Slightly Soft Rectangular Ducts, Carrying Mean Flow," NASA TR 4, Herrick Lab Report No. HL 75-35, November 1975.

R35. Vaidya, P.G. and Wang, K.S., "Propagation of High Amplitude Higher Order mode Sounds in Rigid Rectangular Ducts, Carrying Mean Flow," NASA TR3, Herrick Lab Report No. HL 75-34, September 1975.

I34. Vaidya, P.G., "Suppressors II," NASA-Lewis Specialists Conference on Basic Noise Research, Cleveland, OH, May 1975.

33. Vaidya, P.G., Wang, K.S. and Shashaani, R., "Propagation of High Intensity Sounds in Lined Ducts," presented at the 89th Meeting of the Acoustical Society of America, Austin, TX, April 1975.

32. Vaidya, P.G., "Procedure to Predict the Propagation of Sound in Absorbent Ducts with Nonuniform Areas of Cross Section," 89th Meeting of the Acoustical Society of America, Austin, TX, April 1975.

R31. St. Hilaire, A. and Vaidya, P.G., "Finite Amplitude Analysis of a Flow-Structure Interaction Problem," Journal of Fluid Mechanics, 67: 377-396, 1975.

R30. Vaidya, P.G. and Sullivan, J., "Design of the Spinning Mode Facility," NASA TR 2, Herrick Lab Report No. HL 74-3, 1974.

R29. Vaidya, P.G., "Sound Propagation Outdoors," in Reduction of Machinery Noise. (West Lafayette, IN: Purdue University Press, 1974).

28. St. Hilaire, A.and Vaidya, P.G., "Finite Amplitude Analysis of a Flow-Structure Interaction Problem," Congress in Applied Mechanics, Boulder, CO, June 1974.

I27. Vaidya, P.G., Kisner, L. and Shashaani, R., "Multiple Pure Tone Noise Radiation from a Supersonic Rotor Propagating in an Acoustically Treated Duct," Second Inter-Agency Symposium at North Carolina University, June 1974.

I26. Vaidya, P.G., "Suppressors," NASA-Lewis Specialist Conference on Basic Noise Research, Cleveland, OH, May 1974.

25. Vaidya, P.G., "Method of Acoustic Modules," 87th Meeting of the Acoustic Society of America, New York, NY, April 1974.

24. Vaidya, P.G. and Ridd, J., "Use of Nonuniform Liners as Sound Suppressors," 87th Meeting of the Acoustic Society of America, New York, NY, April 1974.

23. Vaidya, P.G., Sullivan, J. and Shashaani, R., "Design of an Experimental Facility for Sound Propagation Studies," 87th Meeting of the Acoustic Society of America, New York, NY, April 1974.

R22. Vaidya, P.G., "Propagation of Sound in a Rectangular Duct with Uniform but Arbitrary Lining," NASA TR 1, Herrick Lab Report No. HL 73-38, 1973.

21. Crocker, M.J., Tree, D.R., Vaidya, P.G. and Towers, D.A., "Diesel Truck Engine Enclosure," Inter-Con 1973 (National Conference on Noise Control Engineering), Washington, DC, October 1973.

20. Vaidya, P.G. and Baade, P., "Acoustic Backreaction on Sound Sources in Ducts," 85th Meeting of the Acoustical Society of America, Boston, MA, April 1973.

19. Crocker, M.J., Tree, D.R., and Vaidya, P.G., "Acoustic Enclosures for Diesel Engines on Trucks," 85th Meeting of the Acoustical Society of America, Boston, MA, April 1973.

18. Vaidya, P.G. and Beard, J., "Sound Field in a Duct Lined with Nonuniform Absorbent Materials," 85th Meeting of the Acoustical Society of America, Boston, MA, April 1973.

R17. Vaidya, P.G., "The Transmission of Sonic Boom Signals into Rooms Through Open Windows," Journal of Sound and Vibration, 25: 533-539, 1972. [1]

R16. Vaidya, P.G., "The Acoustic Response of Rooms with Open Windows to Airborne Sounds," Journal of Sound and Vibration, 24: 505-532, 1972. [1]

R15. Vaidya, P.G. and St. Hilaire, A., "Extraneous Modes in Sound Absorbing Ducts," Inter-Noise 1972, 496-500, 1972.

I14. Vaidya, P.G., "Some Developments in the Theory of Sound Attenuation," Symposium on the Acoustics of Flow Ducts, Instititute of Sound and Vibration Research, University of Southampton, UK, January 1972.

13. Vaidya, P.G. and St. Hilaire, A., "Buildup of Sound Fields in Isolated and Coupled Rooms," Proceedings of Conference on Noise and Vibration Control Engineering, Purdue University Press, pp. 315-325, July 1971.

12. St. Hilaire, A. and Vaidya, P.G., "Generation of Sound as Caused by Fluid Flow Interaction with a Sharp-Edged Vibrator," Proceedings of Conference on Noise and Vibration Control Engineering, Purdue University Press, pp. 291-299, July 1971.

R11. Vaidya, P.G., "The Transmission of Sonic Boom Signals into Rooms through Open Windows," Experimental Results and Discussion, NASA-CR-111788, 1970.

R10. Vaidya, P.G., "The Transmission of Sonic Boom Signals into Rooms through Open Windows: The Time Domain Solution," NASA CR-111797, 1970.

R9. Vaidya, P.G., "The Transmission of Sonic Boom Signals into Rooms through Open Windows: The Steady State Solution," NASA CR-111786, 1970.

8. Vaidya, P.G., "Attenuation of Sound Due to Acoustic Boundary Layers," 80th Meeting of the ASA, Houston, TX, November 1970.

7. Doak, P.E. and Vaidya, P.G., "On the Propagation and Radiation of Sound in Finite-Length, Acoustically Lined Ducts Carrying Heated, Shared Flows," 79th Meeting of the ASA, Atlantic City, NJ, April 1970.

R6. Doak, P.E. and Vaidya, P.G., "Attenuation of Plane-Wave and Higher Order Mode Sound Propagation in Lined Ducts," Journal of Sound and Vibration, 12: 201-224, 1970. [6]

5. Vaidya, P.G., "Systems Approach to the Problem of Investment in Scientific and Technical Education," Southeastern Conference of the Federation of Indian Associations, January 1970.

4. Vaidya, P.G., and Doak, P.E., "Pressure Fields Inside Rooms Due to Periodic and Transient
Airborne Sounds with Particular Application to the Sonic Boom Problem," 78th Meeting of the ASA, San Diego, CA, November 1969.

3. Vaidya, P.G., "Equivalent Impedance Method for Attenuation in Ducts," 78th Meeting of the Acoustical Society of America, San Diego, CA, November 1969.

R2. Doak, P.E. and Vaidya, P.G., "A Note on the Relative Importance of Discrete Frequency and Broadband Noise Generating Mechanism in Axial Flow Fans," Journal of Sound and Vibration, 9: 192-196, 1969.

1. Vaidya, P.G., "Transmission of Sonic Booms through Open Windows," Fourth Aeromechanics Colloquium, Southampton, UK, June 1967.