Complete reduction of oscillators in resonance p:q.

Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics

Grupo de Mecanica Espacial, Universidad de Zaragoza, 50009 Zaragoza, Spain.

Published: June 2000

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 are 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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http://dx.doi.org/10.1103/physreve.61.6477DOI Listing

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