A numerical method for locating stable periodic orbits in chaotic systems

DOI10.1016/0167-2789(92)90176-NzbMath0761.58033OpenAlexW2169555639WikidataQ59657416 ScholiaQ59657416MaRDI QIDQ1197524

Jakub Zakrzewski, Dov Grobgeld, Eli Pollak

Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.1016/0167-2789(92)90176-n

zbMATH Keywords

Lyapunov exponentschaotic systemsstable periodic orbits

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Cites Work

• Unnamed Item
• The calculation of periodic trajectories
• Newton method for highly unstable orbits
• LYAPUNOV EXPONENTS IN CHAOTIC SYSTEMS: THEIR IMPORTANCE AND THEIR EVALUATION USING OBSERVED DATA
• Existence of stable orbits in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="italic">x</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="italic">y</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>potential
• Quantum eigenvalues from classical periodic orbits
• Quantization of chaos

This page was built for publication: A numerical method for locating stable periodic orbits in chaotic systems