MULTISTABILITY AND NONSMOOTH BIFURCATIONS IN THE QUASIPERIODICALLY FORCED CIRCLE MAP

DOI10.1142/S0218127401004029zbMath1091.37507arXivnlin/0005032OpenAlexW3101089099WikidataQ62266582 ScholiaQ62266582MaRDI QIDQ5474243

Ulrike Feudel, Paul Glendinning, Jan Wiersig, Hinke M. Osinga

Publication date: 23 June 2006

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

Full work available at URL: https://arxiv.org/abs/nlin/0005032

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (13)

Pitchfork bifurcations of invariant manifolds ⋮ APERIODIC NONCHAOTIC ATTRACTORS, STRANGE AND OTHERWISE ⋮ Autonomous strange nonchaotic oscillations in a system of mechanical rotators ⋮ Multistability in a quasiperiodically forced piecewise smooth dynamical system ⋮ A special type of attractor and transitions in a delayed system ⋮ Manifolds on the verge of a hyperbolicity breakdown ⋮ Coexistence of Strange Nonchaotic Attractors in a Quasiperiodically Forced Dynamical Map ⋮ Mechanism for boundary crises in quasiperiodically forced period-doubling systems ⋮ Existence of non-smooth bifurcations of uniformly hyperbolic invariant manifolds in skew product systems ⋮ MODE-LOCKING IN QUASIPERIODICALLY FORCED SYSTEMS WITH VERY SMALL DRIVING FREQUENCY ⋮ Non-smooth saddle-node bifurcations I: existence of an SNA ⋮ REMARKS ON SKEW PRODUCTS OVER IRRATIONAL ROTATIONS ⋮ BISTABILITY AND DYNAMICAL TRANSITIONS IN A PHASE-MODULATED DELAYED SYSTEM

Cites Work

• Intermittency and strange nonchaotic attractors in quasi-periodically forced circle maps.
• Fine structure of mode-locked regions of the quasi-periodically forced circle map
• Scaling of intermittent behaviour of a strange nonchaotic attractor
• Resonance Zones in Two-Parameter Families of Circle Homeomorphisms
• Remarks on the perturbation theory for problems of Mathieu type
• ARNOLD FLAMES AND RESONANCE SURFACE FOLDS
• Characterizing strange nonchaotic attractors
• Small denominators. I. Mappings of the circumference onto itself

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