Complete reduction of oscillators in resonance p:q

Details Complete reduction of oscillators in resonance p:q Complete reduction of oscillators in resonance p:q

Jun 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000phrve..61.6477e&link_type=abstract

Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Volume 61, Issue 6, June 2000, p

Physics

8

Nonlinear Dynamics And Chaos, General Theory Of Classical Mechanics Of Discrete Systems, Multiple Resonances, Celestial Mechanics

Scientific paper

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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