JOURNAL ARTICLE

Generating Chaos with Saddle-Focus Homoclinic Orbit.

  • Published In: International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2024, v. 34, n. 1. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Zhang, Chaoxia; Zhang, Shangzhou; Zhang, Yuqing 3 of 3

Abstract

This paper develops an anticontrol approach to design a 3D continuous-time autonomous chaotic system with saddle-focus homoclinic orbit, based on two chaotification criterions for all orbits to be globally bounded with positive Lyapunov exponents. By using the Shil'nikov theorem, a Poincaré return map near the origin is found in the designed controlled system, confirming the existence of chaos in sense of the Smale horseshoe. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Bifurcation & Chaos in Applied Sciences & Engineering. 2024/01, Vol. 34, Issue 1, p1
  • Document Type:Article
  • Subject Area:History
  • Publication Date:2024
  • ISSN:0218-1274
  • DOI:10.1142/S0218127424500111
  • Accession Number:175283928
  • Copyright Statement:Copyright of International Journal of Bifurcation & Chaos in Applied Sciences & Engineering is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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