On detuned 1:1:3 Hamiltonian resonance with cases of symmetric cubic and quartic potentials

DOI10.1063/5.0008641zbMath1451.37084OpenAlexW3084591267WikidataQ100412147 ScholiaQ100412147MaRDI QIDQ5139753

Elham Hakimi, Reza Mazrooei-Sebdani

Publication date: 10 December 2020

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0008641

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (4)

Periodic Klein-Gordon chains with three particles in 1:2:2 resonance ⋮ Hamiltonian Hopf bifurcations near a chaotic Hamiltonian resonance ⋮ Nondegenerate Hamiltonian Hopf bifurcations in \(\omega:3:6\) resonance \((\omega=1\) or \(2)\) ⋮ All relative equilibria of Hamiltonian in detuned 1:2:3 resonance

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