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Complex Bifurcation of Arnol’d Tongues Generated in Three-Coupled Delayed Logistic Maps

  • Daiki OgusuEmail author
  • Shuya Hidaka
  • Naohiko Inaba
  • Munehisa Sekikawa
  • Tetsuro Endo
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 191)

Abstract

This study investigates quasi-periodic bifurcations and Arnol’d resonance webs generated in a three-coupled delayed logistic map. Complex bifurcation structure is generated when a conventional Arnol’d tongue transits to a higher-dimensional Arnol’d tongue. We discovered that, at least, two periodic attractors coexist in the conventional Arnol’d tongue which can bifurcate to two one-tori via doubly-folded Neimark–Sacker bifurcation.

Keywords

Periodic Solution Bifurcation Curve Bifurcation Structure Periodic Attractor Sacker Bifurcation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Daiki Ogusu
    • 1
    Email author
  • Shuya Hidaka
    • 1
  • Naohiko Inaba
    • 2
  • Munehisa Sekikawa
    • 3
  • Tetsuro Endo
    • 1
  1. 1.Department of Electronics and BioinformaticsMeiji UniversityKawasakiJapan
  2. 2.Organization for the Strategic Coordination of Research and Intellectual PropertyMeiji UniversityKawasakiJapan
  3. 3.Department of Mechanical and Intelligent EngineeringUtsunomiya UniversityUtsunomiyaJapan

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