Hopf bifurcations from relative equilibria in spherical geometry

DOI10.1016/j.jde.2005.09.015zbMath1120.34028OpenAlexW2064017684MaRDI QIDQ2496824

Yanyan Li

Publication date: 20 July 2006

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

Full work available at URL: https://doi.org/10.1016/j.jde.2005.09.015

zbMATH Keywords

spherical geometryrotating wavesnormal form theoryEquivariant bifurcations

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40)

Related Items (2)

Normal form theory for relative equilibria and relative periodic solutions ⋮ A geometric characterisation of resonance in Hopf bifurcation from relative equilibria

Cites Work

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• Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts
• Dynamics of spiral waves on unbounded domains using center-manifold reductions
• Meandering of the spiral tip: an alternative approach
• Hopf bifurcation from rotating waves and patterns in physical space
• Transitions from relative equilibria to relative periodic orbits
• Bifurcations of Relative Equilibria
• Noncompact drift for relative equilibria and relative periodic orbits
• Equivariant Dynamical Systems
• Stability, Instability and Chaos
• Transition from Rotating Waves to Modulated Rotating Waves on the Sphere

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