Heteroclinic cycles and periodic orbits for the O(2)-equivariant 0:1:2 mode interaction

DOI10.1016/j.physd.2005.09.002zbMath1099.37044OpenAlexW2152242246MaRDI QIDQ2507970

Troy R. Smith, Philip J. Holmes, Jeff Moehlis

Publication date: 5 October 2006

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2005.09.002

zbMATH Keywords

bifurcationsmode interactionsheteroclinic cyclesbifurcation sets and diagramsgeneric interaction of Fourier modes of wavenumbersquadratic normal form

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (2)

Chaotic Dynamics in an Integro-Differential Reaction-Diffusion System in the Presence of 0:1:2 Resonance ⋮ Dynamic patterns in the reduced Craik–Leibovich equations

Uses Software

• AUTO

Cites Work

• Unnamed Item
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• Low-dimensional models for turbulent plane Couette flow in a minimal flow unit
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