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

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Author(s):
Llibre, Jaume ; Novaes, Douglas D. ; Teixeira, Marco Antonio
Total Authors: 3
Document type: Journal article
Source: SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. 9, n. 2, p. 22-pg., 2015-12-01.
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: 12/18780-0 - Geometry of control systems, dynamical and stochastics systems
Grantee:Marco Antônio Teixeira
Support Opportunities: Research Projects - Thematic Grants
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 Opportunities: Scholarships abroad - Research Internship - Doctorate