Heteroclinic and periodic cycles in a perturbed convection model

DOI10.1006/jdeq.2001.4090zbMath1013.34041OpenAlexW2073964982MaRDI QIDQ1614744

Ignacio B. Vivancos, Xiao-Biao Lin

Publication date: 8 September 2002

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2001.4090

zbMATH Keywords

existencesingular heteroclinic solutions

Mathematics Subject Classification ID

Singular perturbations of ordinary differential equations (34D15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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SYMMETRY INDUCED HETEROCLINIC CYCLES IN A CO₂ LASER

Cites Work

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• Topics in geophysical fluid dynamics: atmospheric dynamics, dynamo theory, and climate dynamics
• Heteroclinic orbits in a spherically invariant system
• Dichotomies in stability theory
• Transverse bifurcations of homoclinic cycles
• Exponential dichotomies and transversal homoclinic points
• Using Melnikov's method to solve Silnikov's problems
• Chaotic behaviour in a singularly perturbed system
• Structurally stable heteroclinic cycles
• A convection-driven dynamo I. The weak field case
• Asymptotic stability of heteroclinic cycles in systems with symmetry
• SPIRAL-PLUS-SADDLE ATTRACTORS AND ELEMENTARY MECHANISMS FOR CHAOS GENERATION
• Forced symmetry breaking of homoclinic cycles
• On the stability of steady finite amplitude convection
• Transition from laminar convection to thermal turbulence in a rotating fluid layer