Quasiperiodic forcing and the observability of strange nonchaotic attractors

DOI10.1088/0031-8949/40/3/031zbMath1063.37520OpenAlexW2012730292MaRDI QIDQ4491022

Edward Ott, Filipe J. Romeiras, Celso Grebogi, Anders Bondeson, Thomas M. jun. Antonsen

Publication date: 24 July 2000

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

Full work available at URL: https://doi.org/10.1088/0031-8949/40/3/031

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Forced motions for nonlinear problems in mechanics (70K40) Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Chaotic and non-chaotic strange attractors of a class of non-autonomous systems ⋮ Dynamics of a class of Chua's oscillator with a smooth periodic nonlinearity: occurrence of infinitely many attractors ⋮ Strange nonchaotic attractors in a nonsmooth dynamical system ⋮ Route to chaos and bistability analysis of quasi-periodically excited three-leg supporter with shape memory alloy ⋮ Intermittency and strange nonchaotic attractors in quasi-periodically forced circle maps. ⋮ THE DYNAMICS OF SYSTEMS OF COMPLEX NONLINEAR OSCILLATORS: A REVIEW ⋮ The structure of mode-locked regions in quasi-periodically forced circle maps ⋮ Boundedness of a Class of Complex Lorenz Systems ⋮ Strange attractors and chaos control in periodically forced complex Duffing's oscillators ⋮ The non-smooth pitchfork bifurcation: a renormalization analysis ⋮ On the route to strangeness without chaos in the quasiperiodically forced van der Pol oscillator.

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