A general reduction method for periodic solutions in conservative and reversible systems

DOI10.1007/BF02218615zbMath0855.34044MaRDI QIDQ1915996

Jürgen Knobloch, André Vanderbauwhede

Publication date: 3 February 1997

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

zbMATH Keywords

periodic solutionsHamiltonian systemsnormal formsreversibleconservativeLyapunov-Schmidt

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Normal forms for dynamical systems (37G05)

Related Items

Generalized Lyapunov–Schmidt Reduction Method and Normal Forms for the Study of Bifurcations of Periodic Points in Families of Reversible Diffeomorphisms ⋮ Degenerate resonances and branching of periodic orbits ⋮ Quasi-periodic stability of normally resonant tori ⋮ Families of periodic orbits in resonant reversible systems ⋮ Branches of Periodic Orbits in Reversible Systems

Cites Work

• Singularities and groups in bifurcation theory. Volume II
• Reduction of Hopf bifurcation problems with symmetries
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