Periodic solutions, KAM tori and bifurcations in a cosmology-inspired potential-Reference-Cited by-同舟云学术

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Periodic solutions, KAM tori and bifurcations in a cosmology-inspired potential

Published:2019-08-05 Issue:9 Volume:32 Page:3406-3444
ISSN:0951-7715
Container-title:Nonlinearity
language:
Short-container-title:Nonlinearity

Author:

Palacián J F^ORCID,Vidal C^ORCID,Vidarte J,Yanguas P^ORCID

Funder

Ministry of Science and Innovation of Spain

Ministry of Science, Innovation and Universities of Spain

Ministry of Economy and Competitiveness of Spain

Fondo Nacional de Desarrollo Científico y Tecnológico

Publisher

IOP Publishing

Subject

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

Link

https://iopscience.iop.org/article/10.1088/1361-6544/ab1bc6/pdf

Reference50 articles.

1. Mathematical Aspects of Classical and Celestial Mechanics

2. Bifurcations of normally parabolic tori in Hamiltonian systems

3. Chaotic Friedmann-Robertson-Walker cosmology

4. Dynamics of Axially Symmetric Perturbed Hamiltonians in 1:1:1 Resonance

5. On averaging, reduction, and symmetry in hamiltonian systems

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1. Reduction and Reconstruction of the Oscillator in 1:1:2 Resonance plus an Axially Symmetric Polynomial Perturbation;SIAM Journal on Applied Dynamical Systems;2024-09-13

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

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

4. Horseshoes and invariant tori in cosmological models with a coupled field and non-zero curvature *;Classical and Quantum Gravity;2020-09-10

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