Abstract

MUNOZ, R.  and  FERNANDEZ-ANAYA, G.. Conservative nonlinear oscillators in Abel's mechanical problem. Rev. mex. fís. E [online]. 2011, vol.57, n.1, pp.67-72. ISSN 1870-3542.

We study a family of conservative, 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.

Keywords : Nonlinear oscillators; analytical mechanics; Abel's mechanical problem.

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