Extended Lissajous variables for oscillators in resonance.

DOI10.1016/S0378-4754(01)00340-8zbMath1076.70507MaRDI QIDQ5950179

Antonio Elipe

Publication date: 2001

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

zbMATH Keywords

reduced phase spaceLissajous transformation

Mathematics Subject Classification ID

Linear vibration theory (70J99)

Related Items (3)

Singular reduction of resonant Hamiltonians ⋮ Dynamics of axially symmetric perturbed Hamiltonians in 1:1:1 resonance ⋮ New families of periodic orbits for a galactic potential

Uses Software

• ATESAT
• PSPC

Cites Work

• Unnamed Item
• The Lissajous transformation. I: Basics
• The Lissajous transformation. II: Normalization
• The Lissajous transformation. III: Parametric bifurcations
• Some analytical results in dynamics of spheroidal galaxies
• ATESAT: A symbolic processor for artificial satellite theory
• Lectures on celestial mechanics. Transl. from the German by C. I. Kalme.
• Chaos in classical cosmology. II
• Oscillators in resonance
• Discrete symmetric dynamical systems at the main resonances with application to axi-symmetric galaxies
• The Hénon and Heiles Problem in Three Dimensions.
• Canonical transformations depending on a small parameter
• Nonlinear stability in resonant cases: A geometrical approach

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