Detecting unstable periodic orbits in chaotic systems by using an efficient algorithm

DOI10.1016/j.chaos.2003.12.089zbMath1067.37039OpenAlexW1965568984MaRDI QIDQ1772584

Pin-Qun Jiang, Bing-Hong Wang, Shou-Liang Bu

Publication date: 21 April 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2003.12.089

zbMATH Keywords

Hénon mapchaotic attractorsunstable periodic orbits

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Periodic orbits of vector fields and flows (37C27) Approximation methods and numerical treatment of dynamical systems (37M99)

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Cites Work

• The search for periodic unstable orbits in periodically driven spike trains
• A direct numerical method for quantifying regular and chaotic orbits
• Controlling chaos for nonautonomous systems by detecting unstable periodic orbits.