Periodic solutions of a generalized Van der Pol-Mathieu differential equation

Warning

This publication doesn't include Faculty of Arts. It includes Faculty of Science. Official publication website can be found on muni.cz.

Authors	KALAS Josef KADEŘÁBEK Zdeněk
Year of publication	2014
Type	Article in Periodical
Magazine / Source	Applied Mathematics and Computation
MU Faculty or unit	Faculty of Science
Citation
Doi	http://dx.doi.org/10.1016/j.amc.2014.01.161
Field	General mathematics
Keywords	Van der Pol Mathieu equation; Periodic solutions; Quasiperiodic solutions; Averaging method; Method of complexification; Autonomous equations; Phase space analysis
Description	The generalized Van der Pol–Mathieu equation with a small parameter is studied. The existence of periodic and quasiperiodic solutions is proved using the averaging method, the method of complexification and phase space analysis of a derived autonomous equation. The results extend and generalize those of Momeni et al. (2007), Veerman and Verhulst (2009) and Kadeřábek (2012).
Related projects:	Matematické struktury Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace