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Singular reduction of resonant Hamiltonians

Published:2018-05-09 Issue:6 Volume:31 Page:2854-2894
ISSN:0951-7715
Container-title:Nonlinearity
language:
Short-container-title:Nonlinearity

Author:

Meyer Kenneth R,Palacián Jesús F,Yanguas Patricia

Funder

Ministry of Economy and Competitiveness of Spain

Charles Phelps Taft Foundation

Ministry of Science and Innovation of Spain

Ministry of Economy, Industry and Competitiveness of Spain

Publisher

IOP Publishing

Subject

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

Link

http://stacks.iop.org/0951-7715/31/i=6/a=2854/pdf

Reference61 articles.

1. Commensurate harmonic oscillators: Classical symmetries

2. A Universal Reduction Procedure for Hamiltonian Group Actions

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1. Periodic orbits in a Hamiltonian system of stellar type;Physica D: Nonlinear Phenomena;2024-11

2. 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

3. Periodic solutions in a 2D-symmetric Hamiltonian system through reduction and averaging method;Dynamical Systems;2024-05-02

4. Symmetric periodic solutions of symmetric Hamiltonians in 1 : 1 resonance;Mathematical Methods in the Applied Sciences;2022-08-07

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

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