On the local stability of limit cycles

DOI10.1063/1.166412zbMath0982.37047OpenAlexW1989834344WikidataQ73463932 ScholiaQ73463932MaRDI QIDQ4515108

Michael Menzinger, Fathei Ali

Publication date: 12 November 2000

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.166412

zbMATH Keywords

limit cycleslocal stabilitybifurcationsorbital stabilitylocal instability

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Stability theory for smooth dynamical systems (37C75)

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Cites Work

• Quantifying local predictability in phase space
• Determining Lyapunov exponents from a time series
• Effect of noise and perturbations on limit cycle systems
• Deterministic noise amplifiers
• Variation of Lyapunov exponents on a strange attractor
• An equation for continuous chaos
• Characterizing strange nonchaotic attractors

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