Stability of Equilibria for a Class of Time-Reversible, $D_n \times O(2)$-Symmetric Homogeneous Vector Fields

DOI10.1137/0524060zbMath0781.70017OpenAlexW2071032839MaRDI QIDQ3142796

I-Heng McComb, Chjan C. Lim

Publication date: 9 February 1994

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0524060

zbMATH Keywords

linearizationeigenvaluesnormal modestwo-body interactionstwo-parameter normal formsymmetric near-equilibrium periodic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability for nonlinear problems in mechanics (70K20) (n)-body problems (70F10)

Related Items (4)

Resonant normal modes for time-reversible, equivariant vectorfields ⋮ Reversible equivariant linear systems ⋮ Time-reversible and equivariant pitchfork bifurcation ⋮ Bifurcations and Chaos in the Dynamics of Two Point Vortices in an Acoustic Wave

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