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Generating Chaos from Two Three-Dimensional Rigorous Linear Systems via a Novel Switching Control Approach

Changchun Sun

School of Science, Shenyang Jianzhu University, Shenyang 110168, P. R. China

E-mail Address: sunspring2005@163.com

Corresponding author.

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and

Qicheng Xu

School of Science, Shenyang Jianzhu University, Shenyang 110168, P. R. China

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https://doi.org/10.1142/S0218127416502126Cited by:12 (Source: Crossref)

Abstract

By constructing two three-dimensional (3D) rigorous linear systems, a novel switching control approach for generating chaos from two linear systems is presented. Two 3D linear systems without any constant term have only one common equilibrium point that is the origin. By employing an absolute-value switching law, chaos can be generated by switching between two linear systems. Basic dynamical behaviors of the systems are investigated in detail. Numerical examples illustrate the effectiveness of the presented approach.

Keywords:

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