Melnikov processes and chaos in randomly perturbed dynamical systems

DOI10.1088/1361-6544/aab89fzbMath1393.37065OpenAlexW2804369046MaRDI QIDQ3176531

Kazuyuki Yagasaki

Publication date: 23 July 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/aab89f

zbMATH Keywords

chaosrandom perturbationGaussian stationary processMelnikov methodtransverse homoclinic orbithorseshoe sequence

Mathematics Subject Classification ID

Ordinary differential equations and systems with randomness (34F05) Generation, random and stochastic difference and differential equations (37H10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Invariant manifolds for ordinary differential equations (34C45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items

Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows, Stochastic Sensitivity: A Computable Lagrangian Uncertainty Measure for Unsteady Flows

Uses Software

• AUTO
• AUTO-07P
• SFMT

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