Large Fluctuations in a Periodically Driven Dynamical System

DOI10.1142/S0218127498000541zbMath0965.37066WikidataQ62556243 ScholiaQ62556243MaRDI QIDQ4936280

Noah D. Stein, D. G. Luchinsky, Vadim N. Smelyanskiy, Riccardo Mannella, Peter V. E. McClintock, Mark I. Dykman

Publication date: 28 September 2000

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

large fluctuationperiodically driven dynamical systemthermally nonequilibrium system

Mathematics Subject Classification ID

Control/observation systems governed by ordinary differential equations (93C15) Dynamical systems in optimization and economics (37N40)

Related Items (6)

Extreme narrow escape: shortest paths for the first particles among \(n\) to reach a target window ⋮ Nonlinear, nonequilibrium and collective dynamics in a periodically modulated cold atom system ⋮ Stochastic sensitivity of cycles in periodic dynamical systems ⋮ Singularities in large deviation functions ⋮ Noise induced transitions and topological study of a periodically driven system ⋮ Large deviations from the thermodynamic limit in globally coupled maps

Cites Work

• On the weak-noise limit of Fokker-Planck models
• Nondifferentiable potentials for nonequilibrium steady states
• Conditional exits for small noise diffusions with characteristic boundary
• Special issue: Proceedings of the NATO ASI workshop: Stochastic resonance in physics and biology. San Diego, CA, USA, March 30--April 3, 1992
• A scaling theory of bifurcations in the symmetric weak-noise escape problem.
• Observable and hidden singular features of large fluctuations in nonequilibrium systems
• Recent progress on the small parameter exit problem^†
• Persistence of Dynamical Systems under Random Perturbations

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