Synchrony As Constraint

2022-03-21 Ramakrishna Ramaswamy, Visiting Professor Department of Chemistry Indian Institute

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.

Event Name

Seminars

Place

Online

Start Time

16:00

End Time

17:00

External Link

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