KALAS, Josef. Periodic solutions of Liénard-Mathieu differential equation with a small parameter. Georgian Mathematical Journal. Berlin: WALTER DE GRUYTER GMBH, 2017, vol. 24, No 1, p. 81-95. ISSN 1072-947X. Available from: https://dx.doi.org/10.1515/gmj-2017-0001.
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Basic information
Original name Periodic solutions of Liénard-Mathieu differential equation with a small parameter
Authors KALAS, Josef (203 Czech Republic, guarantor, belonging to the institution).
Edition Georgian Mathematical Journal, Berlin, WALTER DE GRUYTER GMBH, 2017, 1072-947X.
Other information
Original 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
RIV identification code RIV/00216224:14310/17:00094636
Organization unit Faculty of Science
Doi http://dx.doi.org/10.1515/gmj-2017-0001
UT WoS 000394146100007
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 NZ, rivok
Tags International impact
Changed by Changed by: Ing. Nicole Zrilić, učo 240776. Changed: 10/4/2018 14:58.
Abstract
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 projectName: Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace
Investor: Czech Science Foundation
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