Branches of stable three-tori using Hamiltonian methods in hopf bifurcation on a rhombic lattice

DOI10.1080/02681119608806228zbMath0877.34034OpenAlexW2047694229MaRDI QIDQ3128229

Vivien Kirk, Jerrold E. Marsden, Mary Silber

Publication date: 16 April 1997

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681119608806228

zbMATH Keywords

stabilityequivariant Hopf bifurcationHamiltonian methodsnew solution branchessingular Hamiltonian limit

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

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Reduction theory and the Lagrange–Routh equations, Rotating convection: recent developments, Point vortices on a sphere: Stability of relative equilibria, Geometric phases, reduction and Lie-Poisson structure for the resonant three-wave interaction.

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