%0 Journal Article %1 llibre2015periodic %A Llibre, J. %A Novaes, D. D. %A Teixeira, M. A. %D 2015 %J The São Paulo Journal of Mathematical Sciences %K myown published %N 2 %P 229-250 %R 10.1007/s40863-015-0017-1 %T On the periodic solutions of perturbed 4D non-resonant systems %U http://link.springer.com/article/10.1007/s40863-015-0017-1 %V 9 %X We provide sufficient conditions for the existence of periodic solutions of a 4D non-resonant system perturbed by smooth or non-smooth functions. We apply these results to study the small amplitude periodic solutions of the non-linear planar double pendulum perturbed by smooth or non-smooth function.

@article{llibre2015periodic, abstract = {We provide sufficient conditions for the existence of periodic solutions of a 4D non-resonant system perturbed by smooth or non-smooth functions. We apply these results to study the small amplitude periodic solutions of the non-linear planar double pendulum perturbed by smooth or non-smooth function.}, added-at = {2015-12-28T06:27:39.000+0100}, author = {Llibre, J. and Novaes, D. D. and Teixeira, M. A.}, biburl = {https://www.bibsonomy.org/bibtex/2f7b35b6370c8bd555da0bf340235237a/ddnovaes}, doi = {10.1007/s40863-015-0017-1}, interhash = {cc87b68a449a628979f12cf934955218}, intrahash = {f7b35b6370c8bd555da0bf340235237a}, journal = {The S{\~{a}}o Paulo Journal of Mathematical Sciences}, keywords = {myown published}, month = dec, number = 2, pages = {229-250}, timestamp = {2015-12-28T06:27:39.000+0100}, title = {On the periodic solutions of perturbed 4D non-resonant systems}, url = {http://link.springer.com/article/10.1007/s40863-015-0017-1}, volume = 9, year = 2015 }