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Can a Pseudo Periodic Orbit Avoid a Catastrophic Transition?

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Publication:5744116
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DOI10.1142/S0218127415501850zbMath1330.34106MaRDI QIDQ5744116

Daisuke Ito, Tetsushi Ueta, Kazuyuki Aihara

Publication date: 17 February 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)


zbMATH Keywords

saddle-node bifurcationunstable periodic orbitcatastrophic transitionpseudo periodic orbitsuppression of bifurcation


Mathematics Subject Classification ID

Bifurcation control of ordinary differential equations (34H20)


Related Items (3)

Perpetual points and periodic perpetual loci in maps ⋮ Locating and Stabilizing Unstable Periodic Orbits Embedded in the Horseshoe Map ⋮ Perpetual Points: New Tool for Localization of Coexisting Attractors in Dynamical Systems



Cites Work

  • Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
  • Bifurcation of periodic responses in forced dynamic nonlinear circuits: Computation of bifurcation values of the system parameters
  • EXPERIMENTAL VERIFICATION OF PYRAGAS’S CHAOS CONTROL METHOD APPLIED TO CHUA’S CIRCUIT
  • BIFURCATION AND CHAOS IN COUPLED BVP OSCILLATORS
  • Existence of Perpetual Points in Nonlinear Dynamical Systems and Its Applications


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