On the periodic solutions of perturbed 4D non-resonant systems

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Author(s):	Llibre, Jaume ^[1] ; Novaes, Douglas D. ^[2] ; Teixeira, Marco Antonio ^[2] Total Authors: 3
Affiliation:	^[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia - Spain ^[2] Univ Estadual Campinas, Dept Matemat, Rua Sergio Baruque de Holanda 651, BR-13083859 Campinas, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. 9, n. 2, SI, p. 229-250, DEC 2015.
Web of Science Citations:	0
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. (AU)

FAPESP's process:	13/16492-0 - Averaging Theory for studying the periodic solutions of the differential systems and its applications
Grantee:	Douglas Duarte Novaes
Support type:	Scholarships abroad - Research Internship - Doctorate


FAPESP's process:	12/18780-0 - Geometry of control systems, dynamical and stochastics systems
Grantee:	Marco Antônio Teixeira
Support type:	Research Projects - Thematic Grants