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.
 Professor |
 Post Doctoral Associate |
Book Chapters
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Iyengar, S.V. & Balakrishnan, J., 2014. 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. Nature's longest threads: New Frontiers in the Mathematics & Physics of Information in Biology. Singapore: World Scientific Publishing Company Pte. Ltd., pp. 65-80. Available at: http://www.worldscientific.com/doi/abs/10.1142/9789814612470_0008.
Books
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Balakrishnan, J. & Sreekantan, B.V., 2014. Nature's longest threads: New Frontiers in the Mathematics & Physics of Information in Biology, Singapore: World Scientific Publishing. Available at: http://www.worldscientific.com/worldscibooks/10.1142/9204.
Journal Articles
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De, S. & Balakrishnan, J., 2020. Burst mechanisms and burst synchronization in a system of coupled type-I and type-II neurons. Communication in Nonlinear Science and Numerical Simulation, 90, p.105391. Available at: https://www.sciencedirect.com/science/article/pii/S1007570420302239.
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Iyengar, S.V. & Balakrishnan, J., 2018. The q-deformed Tinkerbell map. Chaos, 28(11). Available at: https://aip.scitation.org/doi/10.1063/1.5048798.
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Iyengar, S.V., Balakrishnan, J. & Kurths, J., 2016. Impact of climate change on larch budmoth cyclic outbreaks. Scientific Reports , 6(27845). Available at: http://eprints.nias.res.in/1117/.
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Hongray, T. & Balakrishnan, J., 2016. Dynamics of bow-tie shaped bursting: Forced pendulum with dynamic feedback. Chaos: An interdisciplinary Journal of Nonlinear Science, 26 (123107 ). Available at: http://scitation.aip.org/content/aip/journal/chaos/26/12/10.1063/1.4971411.
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Iyengar, S.V., Balakrishnan, J. & Kurths, J., 2016. Co-existence of periodic bursts and death of cycles in a population dynamics systems. Chaos, 26, pp.093111-15. Available at: http://scitation.aip.org/content/aip/journal/chaos/26/9/10.1063/1.4962633.
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Hongray, T., Balakrishnan, J. & Dana, S.K., 2015. Bursting behaviour in coupled Josephson junctions. Chaos. Available at: http://scitation.aip.org/content/aip/journal/chaos/25/12/10.1063/1.4936675.
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Hongray, T., Ashok, B. & Balakrishnan, J., 2015. Oscillatory dynamics of a charged microbubble under ultrasound. Pramana: Journal of Physics, 84(4), pp.517-541. Available at: http://www.ias.ac.in/pramana/v84/p517/fulltext.pdf.
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Hongray, T., Ashok, B. & Balakrishnan, J., 2014. Effect of charge on the dynamics of an acoustically forced bubble. Nonlinearity, 27(6). Available at: http://iopscience.iop.org/article/10.1088/0951-7715/27/6/1157/meta;jsessionid=B453661C4A00530ABAEFF73500FCA472.c1.iopscience.cld.iop.org.
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Malik, N., Ashok, B. & Balakrishnan, J., 2010. Complete synchronization in coupled Type-I neurons. Pramana: Journal of Physics. 74, 74.
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Malik, N., Ashok, B. & Balakrishnan, J., 2010. Noise-induced synchronization in bidirectionally coupled Type-I neurons. Eur. Phys. J. B, 74.
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Balakrishnan, J. & Ashok, B., 2010. The role of Hopf bifurcation dynamics in sensory processes. J. Theor. Biol. 265, 265.
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Balakrishnan, J., 2006. Geometric framework for phase synchronization in coupled noisy nonlinear systems. Phys. Rev. E, 73.
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Balakrishnan, J., 2002. Stochastic quantization of order two parafermi fields. Eur. Phys. J. C., 23.
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Balakrishnan, J., 2000. Neural network learning dynamics in a path integral framework. Eur.Phys. J. B, 15.
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Balakrishnan, J. & Nagabhushana, G.R., 2000. On the applicability of Sato's equation to capacitative radio frequency sheaths. J. Phys. D Appl. Phys. (Rapid Communication), 33., pp.L153-L157.
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Balakrishnan, J., 2000. Spatial curvature effects on molecular transport by diffusion. Phys. Rev. E, 61.
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Ashok, B. & Balakrishnan, J., 1998. Effective potential for phi^6 theory in three dimensional curved spacetime. J. Phys. A. 31, 31.
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Balakrishnan, J., 1995. One-loop finite temperature effective action for composite fields in curved space. Int.J.Mod. Phys. A, 10.
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Balakrishnan, J. & Toms, D.J., 1992. Gauge-independent effective potential for minimally coupled quantum fields in curved space. Phys. Rev. D, 46.
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Balakrishnan, J. & Toms, D.J., 1991. Gauge-independent effective action for quantum electrodynamics in Euclidean de Sitter space. Phys. Lett. B, 269.
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- 25 Aug 2016 NIAS Public Lecture: “Fibonacci sequence and its extensions” by Prof. T. N. Shorey, Lecture Hall, 1100 hrs
- 8 Jul 2016 NIAS Public Lecture: "Flow computations and their relation with complex systems and cognition"
- 17 Feb 2016 [Symposium]: "The case of the missing budmoth population cycles"