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The 1:2:4 resonance in a particle chain

  • Published:2021-02 Issue:1 Volume:32 Page:101-120
  • ISSN:0019-3577
  • Container-title:Indagationes Mathematicae
  • language:en
  • Short-container-title:Indagationes Mathematicae

Author:

Hanßmann Heinz,Mazrooei-Sebdani Reza,Verhulst Ferdinand

Publisher

Elsevier BV

Subject

General Mathematics

Reference19 articles.

1. First order resonances in three-degrees-of-freedom systems;van der Aa;Cell. Mech.,1983

2. Quasi-Periodic Motions in Families of Dynamical Systems: Order Amidst Chaos;Broer,1996

3. The inhomogeneous fermi-pasta–ulam chain, a Case study of the 1:2:3 resonance;Bruggeman;Acta Appl. Math.,2017

4. Dynamics of a chain with four particles, alternating masses and nearest-neighbor interaction;Bruggeman,2018

5. Near-integrability and recurrence in FPU chains with alternating masses;Bruggeman;J. Nonlinear Sci.,2019

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1. Hamiltonian Hopf bifurcations near a chaotic Hamiltonian resonance;Physica D: Nonlinear Phenomena;2024-03

2. Lagrangian fibrations in coupled resonant oscillators in the paired case of four degrees of freedom containing swinging spring oscillator;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2022-03

3. All relative equilibria of Hamiltonian in detuned 1:2:3 resonance;Journal of Differential Equations;2021-08

4. Periodic Klein–Gordon Chains with Three Particles in 1:2:2 Resonance;Journal of Dynamics and Differential Equations;2021-05-18

5. The coupled 1:2 resonance in a symmetric case and parametric amplification model;Discrete & Continuous Dynamical Systems - B;2021
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