Subharmonic branching at a reversible 1:1 resonance

DOI10.1080/10236190500331214zbMath1085.37045OpenAlexW2020385855MaRDI QIDQ3369564

Maria-Christina Ciocci

Publication date: 2 February 2006

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190500331214

zbMATH Keywords

periodic orbitsreversible systemsnormal formsymmetries1:1 resonancebifurcation equationsreversible mapsgeneralized Lyapounov-Schmidt methodsingularity theoriessubharmonic branching

Mathematics Subject Classification ID

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) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (1)

Path formulation for multiparameter \(\mathbb D_3\)-equivariant bifurcation problems

Cites Work

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• The geometry of resonance tongues: a singularity theory approach
• Generalized Lyapunov–Schmidt Reduction Method and Normal Forms for the Study of Bifurcations of Periodic Points in Families of Reversible Diffeomorphisms

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