Department of Physics

Indian Institute Of Technology Madras , Chennai

Synchrony as constraint

Speaker : Ramakrishna Ramaswamy, Visiting Professor Department of Chemistry Indian Institute of Technology Delhi

2022-03-21

Abstract :

We obtain necessary conditions for the {\em generalised synchronization} of coupled dynamical systems, namely the process of confining the dynamics to lower dimensional submanifolds in the phase space. In this framework, synchronization is seen as a process of imposing algebraic constraints which may also be time-dependent. We propose a procedure for constructing (non-unique) coupling functions that can guide the flow to the desired submanifold which can also be made stable and attracting. A geometric analysis of the stability of this manifold is provided, and the procedure is demonstrated through representative examples.

Key Speaker Ramakrishna Ramaswamy, Visiting Professor Department of Chemistry Indian Institute of Technology Delhi
Guests None
Place Online
Start Time 4:00 PM
Finish Time 5:00 PM
External Link None