Degenerate resonances and branching of periodic orbits

DOI10.1007/s10231-006-0036-8zbMath1206.37011OpenAlexW2008065707MaRDI QIDQ2462226

Maurício Firmino Silva Lima, Marco Antonio Teixeira, Alain Jacquemard

Publication date: 26 November 2007

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-006-0036-8

zbMATH Keywords

normal formperiodic orbitresonanceequilibrium point

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05) Periodic orbits of vector fields and flows (37C27)

Related Items (2)

Formal equivalence between normal forms of reversible and Hamiltonian dynamical systems ⋮ Families of periodic orbits in resonant reversible systems

Cites Work

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• Hopf's bifurcation theorem and the center theorem of Liapunov with resonance cases
• \(C^\infty\)-normal forms of local vector fields
• A general reduction method for periodic solutions in conservative and reversible systems
• Bifurcations of Symmetric Periodic Orbits Near Equilibrium in Reversible Systems

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