Resonant normal modes for time-reversible, equivariant vectorfields

DOI10.1007/BF02219359zbMath0831.34047MaRDI QIDQ1898809

I-Heng McComb, Chjan C. Lim

Publication date: 25 September 1995

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

zbMATH Keywords

bifurcationresonancenormal modescompact Lie groupsspatial symmetriesStokeslet modeltime-reversible, equivariant vectorfields

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Stability for nonlinear problems in mechanics (70K20) Stokes and related (Oseen, etc.) flows (76D07) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (2)

Relative equilibria of point vortices on the sphere ⋮ Time-reversible and equivariant pitchfork bifurcation

Cites Work

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• The Hamiltonian Hopf bifurcation
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• An extension to resonant cases of Liapunov's theorem concerning the periodic solutions near a Hamiltonian equilibrium
• Stability of Equilibria for a Class of Time-Reversible, $D_n \times O(2)$-Symmetric Homogeneous Vector Fields
• Periodic solutions near a resonant equilibrium of a Hamiltonian system
• Periodic orbits near an equilibrium and a theorem by Alan Weinstein
• Reversible Diffeomorphisms and Flows
• Time-Reversibility and Particle Sedimentation

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