Periodic solutions of Liénard-Mathieu differential equation with a small parameter

Warning

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

Authors	KALAS Josef
Year of publication	2017
Type	Article in Periodical
Magazine / Source	Georgian Mathematical Journal
MU Faculty or unit	Faculty of Science
Citation
Doi	http://dx.doi.org/10.1515/gmj-2017-0001
Field	General mathematics
Keywords	Liénard–Mathieu equation; periodic solutions; quasiperiodic solutions; averaging method; method of complexification; phase space analysis
Description	The Liénard–Mathieu equation with a small parameter is examined. The existence of periodic and quasiperiodic solutions is proved using the averaging method, the method of complexification and the phase space analysis of an associated autonomous equation. The results extend and generalize those of Kalas and Kadeřábek (2014).
Related projects:	Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace