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Exact Solutions and Conservation Laws of the Joseph-Egri Equation with Power Law Nonlinearity Read chapter Read first chapter

2015 | OriginalPaper | Chapter

Leading Unstable Linear Systems to Chaos by Chaos Entanglement

Authors : Hongtao Zhang, Xinzhi Liu, Xianguo Li

Published in: Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science

Publisher: Springer International Publishing

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Abstract

Chaos entanglement is a new approach to systematically generate chaotic dynamics by entangling two or multiple stable linear systems with periodic nonlinear coupling functions such that each of them evolves in a chaotic manner. In this study, chaos entanglement is extended to unstable linear systems by introducing a well-defined bound function to guarantee the boundedness of each unstable linear system. A novel 6-scroll attractor is obtained by entangling three identical unstable linear systems with sine function. It is verified that this attractor possesses a positive Lyapunov exponent and its trajectories are bounded. The Lyapunov spectra and bifurcation diagram reveal the chaotic behaviors of this new attractor.

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previous chapter Wake Topology for Steady Flow Past an Inclined Elliptic Cylinder
next chapter Impulsive Control and Synchronization of Spatiotemporal Chaos in the Gray–Scott Model
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Metadata
Title
Leading Unstable Linear Systems to Chaos by Chaos Entanglement
Authors
Hongtao Zhang
Xinzhi Liu
Xianguo Li
Copyright Year
2015
Book
Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science

Print ISBN: 978-3-319-12306-6

Electronic ISBN: 978-3-319-12307-3

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-12307-3_77

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