Revista mexicana de física E
versão impressa 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.
Palavras-chave : Nonlinear oscillators; analytical mechanics; Abel's mechanical problem.