Summary

International Symposium on Nonlinear Theory and its Applications

2017

Session Number:B1L-A-1

Session:

Number:B1L-A-1-3

Emergence of hyperchaos and Synchronization in a Simple Autonomous Discrete System

Adrian Arellano-Delgado,  Rosa Martha Lopez-Gutierrez,  Rodrigo Mendez-Ramirez,  Cesar Cruz-Hernandez,  

pp.347-350

Publication Date:2017/12/4

Online ISSN:2188-5079

DOI:10.34385/proc.29.B1L-A-1-3

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Summary:
In this work, diffusive coupling of a simple autonomous discrete system resulting in emergence of hyperchaos is presented. The simple discrete system would never generate chaos by itself unless it is coupled as proposed in this work. Furthermore, in-phase or anti-phase synchronization of two coupled simple autonomous discrete systems within a complex network is achieved, where the systems maintain the hyperchaotic emergent dynamics. In order to corroborate that the emerging dynamics are hyperchaotic, we calculate the Lyapunov exponents.