Period-doubling cascades of canards from the extended Bonhoeffer–van der Pol oscillator

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Abstract

This Letter investigates the period-doubling cascades of canards, generated in the extended Bonhoeffer–van der Pol oscillator. Canards appear by Andronov–Hopf bifurcations (AHBs) and it is confirmed that these AHBs are always supercritical in our system. The cascades of period-doubling bifurcation are followed by mixed-mode oscillations. The detailed two-parameter bifurcation diagrams are derived, and it is clarified that the period-doubling bifurcations arise from a narrow parameter value range at which the original canard in the non-extended equation is observed.

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Details 詳細情報について

  • CRID
    1050001202113506688
  • NII Article ID
    120002709550
  • NII Book ID
    AA11537022
  • ISSN
    03759601
  • HANDLE
    2433/134570
  • Text Lang
    en
  • Article Type
    journal article
  • Data Source
    • IRDB
    • CiNii Articles
    • KAKEN

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