Bifurcations from one-parameter families of symmetric periodic orbits in reversible systems

DOI10.1088/0951-7715/26/5/1345zbMath1277.37081OpenAlexW1995665360MaRDI QIDQ4924179

Kazuyuki Yagasaki

Publication date: 30 May 2013

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/678a8e2cbe566f18be5c2c9f1ae0175bac6c7b34

zbMATH Keywords

periodic orbitsreversible systemgeneralized Henon-Heiles systembifurcation of symmetric periodic solutionsMelnikov matrix

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Symmetries, invariants of ordinary differential equations (34C14) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

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