Analytical conditions for strange chaotic and nonchaotic attractors of the quasiperiodically forced van der Pol equation

DOI10.1016/0167-2789(91)90219-YzbMath0741.58030OpenAlexW1983127782MaRDI QIDQ1181149

John Brindley, Tomasz Kapitaniak, Mohamed Saladin El Naschie

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1016/0167-2789(91)90219-y

zbMATH Keywords

strange nonchaotic attractorquasiperiodically forced van der Pol equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (9)

OLD AND NEW RESULTS ON STRANGE NONCHAOTIC ATTRACTORS ⋮ Neimark bifurcation, almost-periodicity and chaos in the forced van der Pol-Duffing system in the neighbourhood of the principal resonance ⋮ Optimal multi-dimensional OGY controller ⋮ Existence and characterization of strange nonchaotic attractors in nonlinear systems ⋮ Multiple delay Rössler system-bifurcation and chaos control ⋮ Strange nonchaotic attractors in a fifth-order amplitude equation of Rayleigh-Bénard system near the codimension-two point ⋮ Chaos in mechanical systems -- a review ⋮ Complex behaviour of a quasiperiodically forced experimental system with dry friction ⋮ On the route to strangeness without chaos in the quasiperiodically forced van der Pol oscillator.

Cites Work

• Unnamed Item
• Strange attractors that are not chaotic
• Quasiperiodically forced dynamical systems with strange nonchaotic attractors
• Dichotomies in stability theory
• Route to chaos via strange non-chaotic attractors
• Strange non-chaotic attractors of a quasi-periodically forced van der pol's oscillator

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