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Complex Systems

Programme Head: Janaki Balakrishnan
In the Complex Systems Programme, we aim to understand the dynamics underlying complex phenomena observed in Nature and in daily life. Nonlinearities in a system give rise to complex behaviour – different kinds of nonlinearities produce different varieties of complex dynamics. How do individual elements constituting a system interact with each other via mutual interactions and couplings to produce collective behaviour exhibited by the whole system? Often, systems behave in a completely unpredictable and unexpected way. Is it possible to understand why systems behave the way they do and is it possible to gain control over their dynamics? In the Complex Systems Group, we seek to address these questions. We are currently studying theoretical problems having potential for immediate use in biomedical applications, industrial applications, technology development of useful gadgets, etc.
Opportunity

Junior Research Fellow / Research Associate / Research Assistant (Complex Systems Programme)

Ankit Vikrant Junior Research Fellow	Bhavna Kandra Junior Research Fellow	Janaki Balakrishnan Professor
Sudharsana V Iyengar Post Doctoral Associate	Vaddi Meher Junior Research Fellow

Book:

J. Balakrishnan and B.V. Sreekantan (eds), Nature's longest threads: New Frontiers in the Mathematics & Physics of Information in Biology, World Scientific Publishing Company Pte.Ltd., Singapore (2014) (ISBN-13 no.: 978-9814612463).

Book Chapters:

Iyengar SV, Balakrishnan J. q-Deformations and the Dynamics of the Larch Bud-moth Population Cycles. In Nature's longest threads: New Frontiers in the Mathematics & Physics of Information in Biology. Singapore: World Scientific Publishing Company Pte. Ltd.; 2014. pp. 65-80.http://www.worldscientific.com/doi/abs/10.1142/9789814612470_0008
Balakrishnan J. Instabilities in sensory processes. In Nature’s longest threads: New Frontiers in the Mathematics and Physics of Information in Biology. . Singapore: World Scientific; 2014. pp. 37-46. http://www.worldscientific.com/doi/abs/10.1142/9789814612470_0005

Selected Research Papers:

Iyengar SV, Balakrishnan J. The q-deformed Tinkerbell map. Chaos. 2018;28(11). https://aip.scitation.org/doi/10.1063/1.5048798
Hongray, Thotreithem and Balakrishnan, Janaki (2016) Dynamics of bow-tie shaped bursting: Forced pendulum with dynamic feedback.Chaos: An interdisciplinary Journal of Nonlinear Science, 26 (123107). p. 123107. ISSN 1054-1500
Iyengar, Sudharshana V and Balakrishnan, Janaki and Kurths, Jürgen. Co-existence of periodic bursts and death of cycles in a population dynamics systems. Chaos, 26. 093111. ISSN 1054-1500 (2016).
S. V. Iyengar, J. Balakrishnan, and J. Kurths. Impact Of Climate Change On Larch Budmoth Cyclic Outbreaks. Scientific Reports (Nature Publishing Group) 6, 27845 (2016).
Thotreithem Hongray, J. Balakrishnan and Syamal K. Dana. Bursting behaviour in coupled Josephson junctions. Chaos 25, 123104 (2015).
T. Hongray, B. Ashok & J. Balakrishnan. Oscillatory dynamics of a charged microbubble under ultrasound. Pramana: Journal of Physics 84, 517 (2015).
T. Hongray, B. Ashok & J. Balakrishnan. Effect of charge on the dynamics of an acoustically forced bubble. Nonlinearity 27, 1157 (2014).
J. Balakrishnan. "Instabilities in sensory processes" in Nature's longest threads: New Frontiers in the Mathematics & Physics of Information in Biology, eds. J. Balakrishnan and B.V. Sreekantan, pgs. 65-80, World Scientific Publishing Company Pte.Ltd., Singapore (2014).
Sudharsana V. Iyengar & J. Balakrishnan. "q-Deformations and the Dynamics of the Larch Bud-moth Population Cycles" in Nature's longest threads: New Frontiers in the Mathematics & Physics of Information in Biology, eds. J. Balakrishnan and B.V. Sreekantan, pgs. 65-80, World Scientific Publishing Company Pte.Ltd., Singapore (2014).
J. Balakrishnan & B. Ashok. The role of Hopf bifurcation dynamics in sensory processes. J. Theor. Biol. 265, 126 (2010).
N. Malik, B. Ashok & J. Balakrishnan. Noise-induced synchronization in bidirectionally coupled Type-I neurons. Eur. Phys. J. B 74, 177 (2010).
N. Malik, B. Ashok & J. Balakrishnan. Complete synchronization in coupled Type-I neurons. Pramana: Journal of Physics 74, 189 (2010).
J. Balakrishnan. ``The role of dynamical instabilities & fluctuations in hearing", in Complex Dynamics in Physiological Systems: From Heart to Brain,(Springer Book Series: Understanding Complex Systems, eds. S.K.Dana, P.K.Roy & J.Kurths), 2009, 239-254 (2009), Springer-Verlag, Berlin. (Invited book chapter)
J.Balakrishnan. Geometric framework for phase synchronization in coupled noisy nonlinear systems. Phys. Rev. E 73, 036206 (2006).
J.Balakrishnan. Self-tuning to the Hopf bifurcation in fluctuating systems. J. Phys. A 38, 1627 (2005).
J.Balakrishnan. Symmetry Scheme for Amino Acid Codons. Phys. Rev. E 65, 021912 (2002).
J.Balakrishnan. Stochastic quantization of order two parafermi fields. Eur. Phys. J. C 23, 389 (2002).
J.Balakrishnan. Spatial curvature effects on molecular transport by diffusion. Phys. Rev. E 61, 4648 (2000).
J.Balakrishnan & G.R.Nagabhushana. On the applicability of Sato's equation to capacitative radio frequency sheaths. J. Phys. D: Appl. Phys. 33, L153-L157 (2000).
J.Balakrishnan. Neural network learning dynamics in a path integral framework.Eur. Phys. J. B15, 679 (2000).
B.Ashok & J.Balakrishnan. Effective potential for theory in three dimensional curved spacetime. J. Phys. A 31, 3999 (1998).
J.Balakrishnan. One-loop finite temperature effective action for composite fields in curved space. Int. J. Mod. Phys. A 10, 389 (1995).
J.Balakrishnan & I.G.Moss. Improved effective potential. Phys. Rev. D 49, 4113 (1994).
J.Balakrishnan & D.J.Toms. Gauge-independent effective potential for minimally coupled quantum fields in curved space. Phys. Rev. D 46, 4413 (1992).
J.Balakrishnan & D.J.Toms. Gauge-independent effective action for quantum electrodynamics in Euclidean de Sitter space. Phys. Lett. B 269, 339 (1991).
J.Balakrishnan,S.N.Biswas,A.K.Goyal & S.K.Soni. Stochastic Quantization of Parafermi Fields. J. Math. Phys. 31, 156 (1990).

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