Bifurcation of subharmonic solutions in time-reversible systems

DOI10.1007/BF00945425zbMath0603.58013MaRDI QIDQ1082669

André Vanderbauwhede

Publication date: 1986

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

bifurcationLyapunov-Schmidt methodbifurcating subharmonic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

Generalized Lyapunov–Schmidt Reduction Method and Normal Forms for the Study of Bifurcations of Periodic Points in Families of Reversible Diffeomorphisms, Bifurcations of symmetric periodic orbits via Floer homology, Path formulation for multiparameter \(\mathbb D_3\)-equivariant bifurcation problems, Lower-dimensional tori in reversible systems, Time-reversible and equivariant pitchfork bifurcation, Subharmonic branching at a reversible 1:1 resonance, Shift dynamics near non-elementary T-points with real eigenvalues

Cites Work

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• Subharmonic solutions of second-order equations arising near harmonic solutions