Normal form theory for relative equilibria and relative periodic solutions

DOI10.1090/S0002-9947-07-04314-0zbMath1120.37032OpenAlexW2043821186MaRDI QIDQ3443143

Jeroen S. W. Lamb, Ian Melbourne

Publication date: 31 May 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-07-04314-0

zbMATH Keywords

symmetryperiodic solutionsreductionperturbation analysiscomplex behaviorequivariant dynamicsHamiltonian settingperiodic motion between different group orbits

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items (5)

Normal Forms for Lie Symmetric Cotangent Bundle Systems with Free and Proper Actions ⋮ Normal form theory for reversible equivariant vector fields ⋮ Cotangent bundle reduction and Poincaré-Birkhoff normal forms ⋮ Leaf-normal form classification for \(n\)-Tuple Hopf singularities ⋮ Equivariant bifurcation, quadratic equivariants, and symmetry breaking for the standard representation of S _k

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