Multi-scroll Systems Synchronization on Strongly Connected Digraphs

Year 2022, Volume: 4 Issue: 4, 205 - 211, 31.12.2022

Eber J. ávila Martínez , J. L. Echenausía-monroy , Adriana Ruiz-silva

https://doi.org/10.51537/chaos.1185892

Cited By: 2

Abstract

In this paper, we study the synchronization problem in complex dynamic networks of Piece Wise Linear (PWL) systems. PWL systems exhibit multi-scrolls and belong to a special class of Unstable Dissipative Systems (UDS). We consider strongly connected digraphs and linear diffusive couplings. The synchronization regions are computed using the concept of disagreement vectors, generalized algebraic connectivity of the network topology, and Lyapunov functions, which provide lower bounds on the coupling gain of the network. Then, different combinations of linear diffusive coupling are explored by changing the observed and measured variables to illustrate the contribution of our results. The theoretical results are validated by numerical simulations.

Keywords

Synchronization, Complex Networks, Digraphs, Multi-Scroll Attractors, Unstable Dissipative Systems

Supporting Institution

n/a

Project Number

n/a

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