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Extended Lissajous variables for oscillators in resonance

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  • Elipe, Antonio

Abstract

The Lissajous transformation is extended to any finite combination of harmonic oscillators and for any resonance mode. An example shows how normalization after a Lissajous transformation leads to a geometric characterization of the reduced phase space.

Suggested Citation

  • Elipe, Antonio, 2001. "Extended Lissajous variables for oscillators in resonance," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 57(3), pages 217-226.
    • Handle: RePEc:eee:matcom:v:57:y:2001:i:3:p:217-226
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    References listed on IDEAS

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    1. Abad, A. & Elipe, A. & Palacián, J. & San-Juan, J.F., 1998. "ATESAT: A symbolic processor for artificial satellite theory," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 45(5), pages 497-510.
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    Cited by:

    1. de Bustos, María T. & Guirao, Juan L.G. & Llibre, Jaume & Vera, Juan A., 2016. "New families of periodic orbits for a galactic potential," Chaos, Solitons & Fractals, Elsevier, vol. 82(C), pages 97-102.

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