Asymptotic Integrability and Periodic Solutions of a Hamiltonian System in $1:2:2$-Resonance
From MaRDI portal
Publication:3217668
DOI10.1137/0515067zbMath0554.70017OpenAlexW2013922716MaRDI QIDQ3217668
Els van der Aa, Ferdinand Verhulst
Publication date: 1984
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0515067
Related Items
Periodic Klein-Gordon chains with three particles in 1:2:2 resonance ⋮ Asymptotic analysis of a class of three-degree-of-freedom Hamiltonian systems near stable equilibria ⋮ Geometry and chaos near resonant equilibria of 3-DOF Hamiltonian systems ⋮ Aspects of Poincaré's program for dynamical systems and mathematical physics ⋮ Henri Poincaré's neglected ideas ⋮ On the integrability of Hamiltonian 1:2:2 resonance ⋮ On the integrability of twofold 1 : 2 Hamiltonian resonance ⋮ Non-integrability of first order resonances in Hamiltonian systems in three degrees of freedom ⋮ Chaos in the 1:2:3 Hamiltonian normal form ⋮ Nondegenerate Hamiltonian Hopf bifurcations in \(\omega:3:6\) resonance \((\omega=1\) or \(2)\) ⋮ Codimension two bifurcations of symmetric cycles in Hamiltonian systems with an antisymplectic involution ⋮ First-order resonances in three-degrees-of-freedom systems ⋮ The Hénon and Heiles Problem in Three Dimensions. ⋮ On the detuned 2:4 resonance ⋮ The coupled 1:2 resonance in a symmetric case and parametric amplification model ⋮ An asymptotic analysis of the 1:3:4 Hamiltonian normal form ⋮ Perturbations of superintegrable systems ⋮ Integrability and non-integrability of Hamiltonian normal forms
