Oscillators in resonance \(p\):\(q\):\(r\)

DOI10.1016/J.CHAOS.2005.04.085zbMath1106.70011OpenAlexW2010316248MaRDI QIDQ813705

Andrés Riaguas, Antonio Elipe, Mercedes Arribas, Luis Mario Floría

Publication date: 13 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.04.085

zbMATH Keywords

perturbationcanonical transformationextended Lissajous variables

Mathematics Subject Classification ID

Nonlinear resonances for nonlinear problems in mechanics (70K30) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

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Cites Work

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• The Lissajous transformation. I: Basics
• The Lissajous transformation. II: Normalization
• The Lissajous transformation. III: Parametric bifurcations
• Some analytical results in dynamics of spheroidal galaxies
• On perturbed oscillators in 1-1-1 resonance: The case of axially symmetric cubic potentials
• Chaos in classical cosmology. II
• Oscillators in resonance
• Hamiltonian oscillators in \(1\)-\(1\)-\(1\) resonance: Normalization and integrability
• Numerical study of periodic orbit properties in a dynamical system with three degrees of freedom
• The Hénon and Heiles Problem in Three Dimensions.
• The Hénon and Heiles Problem in Three Dimensions.
• Perturbed ion traps: A generalization of the three-dimensional Hénon–Heiles problem
• Pseudo-oscillator with a quartic perturbation
• Nonlinear stability in resonant cases: A geometrical approach

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