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A universality of period doubling bifurcations

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Publication:994865
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DOI10.1016/0167-2789(95)00032-YzbMath1194.37073OpenAlexW2029845983MaRDI QIDQ994865

T. Motoike, Toshihico Arimitsu

Publication date: 13 September 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00032-y



Mathematics Subject Classification ID

Local and nonlocal bifurcation theory for dynamical systems (37Gxx)


Related Items

An analysis of chaos via contact transformation



Cites Work

  • Unnamed Item
  • Knotted periodic orbits in suspensions of Smale's horseshoe: torus knots and bifurcation sequences
  • On the global structure of period doubling flows
  • Knotted periodic orbits in suspensions of Smale's horseshoe: period multiplying and cabled knots
  • Knotted periodic orbits in dynamical systems. I: Lorenz's equations
  • A universality of period doublings -- local crossing number.
  • Topological Character of a Periodic Solution in Three-Dimensional Ordinary Differential Equation System
  • A nonlinear oscillator with a strange attractor
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