Hamiltonian systems in \(1:2:\omega\)-resonance (\(\omega=5\) or 6)

DOI10.1016/0020-7462(94)90044-2zbMath0795.70015OpenAlexW2125331053MaRDI QIDQ1321916

Els van der Aa, Marco de Winkel

Publication date: 26 May 1994

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(94)90044-2

zbMATH Keywords

periodic orbitsstable equilibriumTaylor seriesfinite seriesdiscrete symmetry conditions

Mathematics Subject Classification ID

Hamilton's equations (70H05) Stability theory for smooth dynamical systems (37C75) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (3)

Singular reduction of resonant Hamiltonians ⋮ Aspects of Poincaré's program for dynamical systems and mathematical physics ⋮ An asymptotic analysis of the 1:3:4 Hamiltonian normal form

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