Noise induced transitions and topological study of a periodically driven system

DOI10.1016/J.CNSNS.2017.01.016OpenAlexW2576585820MaRDI QIDQ2005480

Zhen Chen, Xian-bin Liu

Publication date: 7 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2017.01.016

zbMATH Keywords

singularitiesLagrangian manifoldlarge deviation theoryMPEP

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Global analysis, analysis on manifolds (58-XX)

Related Items (5)

Stochastic sensitivity of cycles in periodic dynamical systems ⋮ Global Analysis of Stochastic Systems by the Digraph Cell Mapping Method Based on Short-Time Gaussian Approximation ⋮ Noise induced escape in one-population and two-population stochastic neural networks with internal states ⋮ Crossing the quasi-threshold manifold of a noise-driven excitable system ⋮ Stochastic response and bifurcations of a dry friction oscillator with periodic excitation based on a modified short-time Gaussian approximation scheme

Cites Work

• On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
• Study of noise-induced transitions in the Lorenz system using the minimum action method
• Singularities of fluctuational paths for an overdamped two-well system driven by white noise
• Observable and hidden singular features of large fluctuations in nonequilibrium systems
• Noise induced escape from a nonhyperbolic chaotic attractor of a periodically driven nonlinear oscillator
• Large Fluctuations in a Periodically Driven Dynamical System

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