Summary
International Symposium on Nonlinear Theory and its Applications
2017
Session Number:C0L-D
Session:
Number:C0L-D-4
Generalized Multi-Synchronization of Chaotic Systems via Dynamical Control Laws: Stability of Synchronization Manifold
Christopher Diego Cruz-Ancona, Rafael Martinez-Guerra, Claudia Alejandra Perez-Pinacho,
pp.604-607
Publication Date:2017/12/4
Online ISSN:2188-5079
Summary:
Within a differential algebraic framework, this paper studies the synchronization phenomena for networks of strictly different nonlinear chaotic systems, i.e., generalized multi-synchronization (GMS). In this case, by allowing any type of interplay between slave systems in a master multi-slave topology, a dynamical control law with diffusive coupling terms is designed for each slave system to synchronize the whole network. Moreover, with the premise that differential algebraic techniques allows us to completely characterize its synchronization manifold, we present some preliminary results on stability of synchronization manifolds. Finally, the effectiveness of the approach is shown in numerical simulations.