Multi-scroll Systems Synchronization on Strongly Connected Digraphs

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Chaos Theory and Applications
Volume:4 Issue:4
Multi-scroll Systems Synchronization on Strongly Connected Digraphs

Multi-scroll Systems Synchronization on Strongly Connected Digraphs

Authors : Eber J ÁVİLA MARTÍNEZ, J L ECHENAUSÍAMONROY, Adriana RUİZSİLVA

Pages : 205-211

Doi:10.51537/chaos.1185892

View : 14 | Download : 9

Publication Date : 2022-12-31

Article Type : Research Paper

Abstract :In this paper, we study the synchronization problem in complex dynamic networks of Piece Wise Linear insert ignore into journalissuearticles values(PWL); systems. PWL systems exhibit multi-scrolls and belong to a special class of Unstable Dissipative Systems insert ignore into journalissuearticles values(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

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