On the Stability of Periodic Orbits for Nonlinear Oscillator Systems in Regions Exhibiting Stochastic Behavior

DOI10.1063/1.1666037zbMath0241.34044OpenAlexW1977849113MaRDI QIDQ5651557

Gary H. Lunsford, Joseph J. III Ford

Publication date: 1972

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1666037

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Periodic solutions to ordinary differential equations (34C25) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Ordinary differential equations and systems with randomness (34F05)

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Cites Work

• Two-Dimensional Measure-Preserving Mappings
• Dynamical systems with elastic reflections