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

Investor logo

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:

You are running an old browser version. We recommend updating your browser to its latest version.