Upcoming Talks

Prof. Ram Ramaswamy, Indian Institute of Technology Delhi

Generalized synchrony as constrained dynamics

February 27, 2023 – 8:30 PM IST

Abstract: A defining characteristic of synchronization in coupled systems is that the resulting dynamics occurs on a lower dimensional invariant submanifold S of the phase space P. The confinement of the collective dynamics to S can be viewed as a constraint, with the coupling playing the role of forces of constraint. The process can also be inverted: for many cases, coupling functions can be designed in order to lead the dynamics in coupled systems to a specific target submanifold. The resulting dynamical state is one of generalized synchrony.

For a system of globally coupled chaotic oscillators, when the submanifold S is attracting in all transverse directions this state of generalized synchrony is stable. Several distinct coupling functions can achieve the same state of generalised synchrony, although with different stability properties. Illustrations of generalised projective synchronization schemes for systems of chaotic Lorenz oscillators will be discussed. Extensions of the technique to the case of spatiotemporal synchronization will be described, with applications to swarms
of autonomous objects.

Ram Ramaswamy retired from the Jawaharlal Nehru University where he taught from 1986 till October 2018, in the School of Physical Sciences, and the School of Computational and Integrative Sciences. From 1983 to 1986, he was at the Tata Institute of Fundamental Research, Mumbai. Between 2011 and 2015 he served as Vice
Chancellor of the University of Hyderabad.

Educated at Madras University, IIT Kanpur, and Princeton University, Prof. Ramaswamy’s research interests have, over the years, been in aspects of theoretical chemistry, statistical physics, molecular dynamics, and computational and systems biology. He is the author of over 200 peer reviewed publications and has edited about 30 books and conference proceedings. He has mentored 35 Ph. D. students at TIFR, JNU, University of Hyderabad, and IIT Delhi.

An elected Fellow of TWAS, The World Academy of Sciences, the Indian National Science Academy, New Delhi, and the Indian Academy of Sciences, Bangalore, he served as President of the Indian Academy of Sciences from 2016 to 2018. Currently, he is Visiting Professor in the Department of Chemistry at IIT Delhi.

Photo credits: https://ramramaswamy.org/