Conservative nonlinear oscillators in Abel's mechanical problem

Authors

  • R. Muñoz
  • G. Fernández-Anaya

Keywords:

Nonlinear oscillators, analytical mechanics, Abel's mechanical problem

Abstract

We study a family of conservative, \emph{truly nonlinear,} oscillators, arising from particular solutions of Abel's mechanical problem. An exact period-to-amplitude relation is produced for each instance. The lagrangian and hamiltonian formulations of such systems are discussed, along with their relations with the harmonic oscillator.

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Published

2011-01-01

How to Cite

[1]
R. Muñoz and G. Fernández-Anaya, “Conservative nonlinear oscillators in Abel’s mechanical problem”, Rev. Mex. Fis. E, vol. 57, no. 1 Jan-Jun, pp. 67–72, Jan. 2011.

Issue

Vol. 57 No. 1 Jan-Jun (2011): Revista Mexicana de Física E

Section

Artículos

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