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

Kun Tian, Celso Grebogi, Hai-Peng Ren

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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 languageEnglish
Pages (from-to)3012-3022
Number of pages11
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Volume68
Issue number7
Early online date30 Apr 2021
DOIs
Publication statusPublished - 31 Jul 2021

Keywords

  • Chaos generation
  • Impulse control
  • Nonlinear dynamics
  • Chen Circui
  • Topological Horseshoe

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