All relative equilibria of Hamiltonian in detuned 1:2:3 resonance
From MaRDI portal
Publication:2034040
DOI10.1016/j.jde.2021.05.012OpenAlexW3160273620MaRDI QIDQ2034040
Reza Mazrooei-Sebdani, Elham Hakimi
Publication date: 18 June 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2021.05.012
Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)
Related Items
Cites Work
- Bifurcations of the Hamiltonian fourfold 1:1 resonance with toroidal symmetry
- The inhomogeneous Fermi-Pasta-Ulam chain, a case study of the \(1:2:3\) resonance
- Local and semi-local bifurcations in Hamiltonian dynamical systems. Results and examples
- Hamiltonian systems with detuned 1:1:2 resonance: manifestation of bidromy
- Chaos in the 1:2:3 Hamiltonian normal form
- An interaction of three resonant modes in a nonlinear lattice
- Asymptotic analysis. From theory to application
- On perturbed oscillators in 1-1-1 resonance: The case of axially symmetric cubic potentials
- Geometry and chaos near resonant equilibria of 3-DOF Hamiltonian systems
- Non-integrability of first order resonances in Hamiltonian systems in three degrees of freedom
- Hamiltonian oscillators in \(1\)-\(1\)-\(1\) resonance: Normalization and integrability
- The coupled 1:2 resonance in a symmetric case and parametric amplification model
- The \(1 : 2 : 4\) resonance in a particle chain
- Nondegenerate Hamiltonian Hopf bifurcations in \(\omega:3:6\) resonance \((\omega=1\) or \(2)\)
- Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
- Dynamical systems and chaos
- First-order resonances in three-degrees-of-freedom systems
- Stepwise Precession of the Resonant Swinging Spring
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- On detuned 1:1:3 Hamiltonian resonance with cases of symmetric cubic and quartic potentials
- Equivariant singularity analysis of the 2 : 2 resonance
- Averaging methods in nonlinear dynamical systems