Neimark–Sacker Bifurcation of Discrete Fractional Chaotic Systems.

  • Published In: International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2025, v. 35, n. 4. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Wu, Guo-Cheng; Hou, Hu-Shuang; Lozi, René 3 of 3

Abstract

Fractional chaotic maps have been recently proposed to describe long-memory effects. However, their bifurcation analysis is complicated. This paper considers a linearized system and introduces necessary and sufficient conditions of Neimark–Sacker (N–S) bifurcation by complex analysis method. Both critical values of fractional order and the system's parameters are determined when the fractional order maps undergo sudden changes. This paper provides an efficient method for the N–S bifurcation analysis of fractional discrete-time systems with time delays. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Bifurcation & Chaos in Applied Sciences & Engineering. 2025/03, Vol. 35, Issue 4, p1
  • Document Type:Article
  • Subject Area:Science
  • Publication Date:2025
  • ISSN:0218-1274
  • DOI:10.1142/S021812742550049X
  • Accession Number:183955224
  • 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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