On detuned 1:1:3 Hamiltonian resonance with cases of symmetric cubic and quartic potentials-Reference-Cited by-同舟云学术

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

Published:2020-09 Issue:9 Volume:30 Page:093119
ISSN:1054-1500
Container-title:Chaos: An Interdisciplinary Journal of Nonlinear Science
language:en
Short-container-title:Chaos

Author:

Mazrooei-Sebdani Reza¹^ORCID,Hakimi Elham¹^ORCID

Affiliation:

1. Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran

Publisher

AIP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

http://aip.scitation.org/doi/pdf/10.1063/5.0008641

Reference16 articles.

1. The Inhomogeneous Fermi-Pasta-Ulam Chain, a Case Study of the 1 : 2 : 3 $1:2:3$ Resonance

2. Non-integrability of the 1:1:2–resonance

3. Bifurcations of the Hamiltonian Fourfold 1:1 Resonance with Toroidal Symmetry

4. Hamiltonian Oscillators in 1—1—1 Resonance: Normalization and Integrability

5. On perturbed oscillators in 1–1–1 resonance: the case of axially symmetric cubic potentials

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

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. Nondegenerate Hamiltonian Hopf Bifurcations in $$\omega:3:6$$ Resonance $$(\omega=1$$ or $$2)$$;Regular and Chaotic Dynamics;2020-11

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