Journal
PHYSICAL REVIEW E
Volume 61, Issue 6, Pages 6477-6484Publisher
AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevE.61.6477
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This paper extends to any type of resonance (p:q) the Lissajous transformation that handles the resonance (1:1) in a Hamiltonian composed of two harmonic oscillators. The manifolds of constant energy for such a system an two-dimensional surfaces of revolution that are spheres for the resonance 1:1, spheres pinched once for the resonances (1:q) when 1
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