LIMIT CYCLE AND CONSERVED DYNAMICS

DOI10.1142/S0217979206033607zbMath1130.82329arXivnlin/0412059MaRDI QIDQ5291476

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Publication date: 10 May 2006

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0412059

zbMATH Keywords

limit cycledissipative and conservative dynamicsstochastic processes in nonequilibrium physics

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Related Items (7)

Global potential, topology, and pattern selection in a noisy stabilized Kuramoto–Sivashinsky equation ⋮ Relation of a new interpretation of stochastic differential equations to Itô process ⋮ Beyond Itô versus Stratonovich ⋮ Finding the boundary between evolutionary basins of attraction, and implications for Wright’s fitness landscape analogy ⋮ Potential Function in a Continuous Dissipative Chaotic System: Decomposition Scheme and Role of Strange Attractor ⋮ Landscapes of non-gradient dynamics without detailed balance: Stable limit cycles and multiple attractors ⋮ Potentials of continuous Markov processes and random perturbations

Cites Work

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• On the noise-induced passage through an unstable periodic orbit. I: Two-level model
• Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics
• Mathematical biology. Vol. 1: An introduction.
• Potential in stochastic differential equations: novel construction
• Brownian motion in a field of force and the diffusion model of chemical reactions

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