J 2017

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

KALAS, Josef

Basic information

Original name

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

Authors

Edition

Georgian Mathematical Journal, Berlin, WALTER DE GRUYTER GMBH, 2017, 1072-947X

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10101 Pure mathematics

Country of publisher

Germany

Confidentiality degree

is not subject to a state or trade secret

Impact factor

Impact factor: 0.482

Marked to be transferred to RIV

Yes

RIV identification code

RIV/00216224:14310/17:00094636

Organization unit

Faculty of Science

EID Scopus

Keywords (in Czech)

Liénardova–Mathieuova rovnice; periodická řešení, kvaziperiodická řešení; metoda průměrování; metoda komplexifikace; analýza fázového prostoru

Keywords in English

Liénard–Mathieu equation; periodic solutions; quasiperiodic solutions; averaging method; method of complexification; phase space analysis

Tags

Tags

International impact
Changed: 10/4/2018 14:58, Ing. Nicole Zrilić

Abstract

In the original language

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).

Links

GAP201/11/0768, research and development project
Name: Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace
Investor: Czech Science Foundation