Symmetries of periodic solutions for planar potential systems

DOI10.1090/S0002-9939-96-03300-XzbMath0867.34030OpenAlexW1958089655MaRDI QIDQ4717096

Jianmin Mao, Martin Golubitsky, Matthew Nicol

Publication date: 11 August 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03300-x

zbMATH Keywords

symmetryperiodic solutionsHamiltonian systemsbrake orbits

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

On symmetric attractors in reversible dynamical systems

Cites Work

• Unnamed Item
• The structure of symmetric attractors
• Symmetry groups of attractors
• Existence of nonlinear normal modes of symmetric Hamiltonian systems
• Symmetric Attractors for Diffeomorphisms and Flows
• Hopf bifurcation in the presence of symmetry

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