Symmetric periodic solutions of symmetric Hamiltonians in 1 : 1 resonance

DOI10.1002/mma.8622MaRDI QIDQ6141998

Claudio Vidal, Yocelyn Pérez-Rothen

Publication date: 21 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

periodic orbitscontinuation methodsymmetriespolynomial Hamiltonianresonance 1 : 1

Mathematics Subject Classification ID

Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Cites Work

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• Escape regions of a quartic potential
• Dynamics of axially symmetric perturbed Hamiltonians in 1:1:1 resonance
• The structure of chaos in a potential without escapes
• Periodic solutions of periodic systems of ordinary differential equations containin a parameter
• Dynamics of a galactic Hamiltonian system
• Periodic Solutions and KAM Tori in a Triaxial Potential
• Simple three-dimensional periodic orbits in a galactic-type potential
• Singular reduction of resonant Hamiltonians
• Periodic orbits and nonintegrability of generalized classical Yang–Mills Hamiltonian systems

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