Bifurcations of Periodic Solutions Satisfying the Zero-Hamiltonian Constraint in Reversible Differential Equations

DOI10.1137/S0036141002418637zbMath1093.37020OpenAlexW2040122443MaRDI QIDQ5317393

M. Ahmer Wadee, Chris J. Budd, Robert E. Beardmore, Mark Adriaan Peletier

Publication date: 16 September 2005

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141002418637

zbMATH Keywords

Lyapunov-Schmidt reduction reversible Hamiltonian systems

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Functional analytic methods for problems in mechanics (70G70)

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