2017
Том 69
№ 7

All Issues

Resonance and nonlinearity: A survey

Mawhin J.

Full text (.pdf)


Abstract

This paper surveys recent results about nonresonant and resonant periodically forced nonlinear oscillators. This includes the existence of periodic, unbounded or bounded solutions for bounded nonlinear perturbations of linear and piecewise-linear oscillators, as well as of some classes of planar Hamiltonian systems.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 2, pp 197-214.

Citation Example: Mawhin J. Resonance and nonlinearity: A survey // Ukr. Mat. Zh. - 2007. - 59, № 2. - pp. 190–205.

Full text