Reversible equivariant Hopf bifurcation

DOI10.1007/s00205-004-0337-2zbMath1073.34038OpenAlexW2096730707MaRDI QIDQ1766901

Claudio A. Buzzi, Jeroen S. W. Lamb

Publication date: 2 March 2005

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-004-0337-2

zbMATH Keywords

Lyapunov-Schmidt reductioncodimension-one Hopf bifurcationreversible equivariant dynamical systems

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Normal forms for dynamical systems (37G05) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40)

Related Items (5)

Homoclinic orbits in degenerate reversible-equivariant systems in \(\mathbb R^6\) ⋮ The \(\sigma \)-isotypic decomposition and the \(\sigma \)-index of reversible-equivariant systems ⋮ Subharmonic branching at a reversible 1:1 resonance ⋮ Weak coupling limit and localized oscillations in Euclidean invariant Hamiltonian systems ⋮ Heteroclinic bifurcations near Hopf-zero bifurcation in reversible vector fields in \(\mathbb R^3\)

Cites Work

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• A symmetric sphere rolling on a surface
• Bifurcation and branching of equilibria in reversible-equivariant vector fields
• Hopf bifurcation for equivariant conservative and time-reversible systems
• Hamiltonian Hopf bifurcation with symmetry
• Hopf bifurcation in the presence of symmetry

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