Chaos generation with impulse control:  Application to Non-Chaotic Systems and Circuit Design

Kun Tian; Celso Grebogi; Hai-Peng Ren

doi:10.1109/TCSI.2021.3075550

Chaos generation with impulse control: Application to Non-Chaotic Systems and Circuit Design

Kun Tian, Celso Grebogi, Hai-Peng Ren

Xi'an University of Technology

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

6 Downloads (Pure)

Abstract

Chaos has been successfully applied in many fields to improve the performance of engineering systems, such as communication, vibration compact, and mixing. Generating chaos from originally non-chaotic systems is a relevant topic because of potential applications. In this work, the impulse control is shown to generate chaos from non-chaotic system. Using nonchaotic Chen system as an example, we prove by analytical and numerical methods that chaos is indeed generated. The features of the chaos generated by impulse control are analysed
using Lyapunov exponents, bifurcation diagram, power spectrum, Poincare mapping and Kaplan-Yorke dimension. Furthermore, we demonstrate the chaotic attractor generation by impulse control using a circuit experiment. The last but not minor point
is that the existence of topological horseshoe is given by rigorous computer-aided proof.

Original language	English
Pages (from-to)	3012-3022
Number of pages	11
Journal	IEEE Transactions on Circuits and Systems I: Regular Papers
Volume	68
Issue number	7
Early online date	30 Apr 2021
DOIs	https://doi.org/10.1109/TCSI.2021.3075550
Publication status	Published - 31 Jul 2021

Keywords

Chaos generation
Impulse control
Nonlinear dynamics
Chen Circui
Topological Horseshoe

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10.1109/TCSI.2021.3075550

Tian_etal_IEEETOCASRP_Chaos_Generation_With_AAM
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Accepted author manuscript, 4.22 MBLicence: Other

Cite this

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abstract = "Chaos has been successfully applied in many fields to improve the performance of engineering systems, such as communication, vibration compact, and mixing. Generating chaos from originally non-chaotic systems is a relevant topic because of potential applications. In this work, the impulse control is shown to generate chaos from non-chaotic system. Using nonchaotic Chen system as an example, we prove by analytical and numerical methods that chaos is indeed generated. The features of the chaos generated by impulse control are analysedusing Lyapunov exponents, bifurcation diagram, power spectrum, Poincare mapping and Kaplan-Yorke dimension. Furthermore, we demonstrate the chaotic attractor generation by impulse control using a circuit experiment. The last but not minor pointis that the existence of topological horseshoe is given by rigorous computer-aided proof.",

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Chaos generation with impulse control: Application to Non-Chaotic Systems and Circuit Design

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Keywords

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