Noisy heteroclinic networks

DOI10.1063/1.1539951zbMath1080.37510OpenAlexW2072319634MaRDI QIDQ5706340

Vivien Kirk, Dieter Armbruster, Emily F. Stone

Publication date: 7 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/78715e90e9ea3ae0879dd2f63f222f31135bc813

Mathematics Subject Classification ID

Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

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Cites Work

• Robust heteroclinic cycles
• Noise and O(1) amplitude effects on heteroclinic cycles
• Random Perturbations of Heteroclinic Attractors
• The dynamics of coherent structures in the wall region of a turbulent boundary layer
• An example of a nonasymptotically stable attractor
• A competition between heteroclinic cycles