Bifurcation of periodic orbits of periodic equations with multiple parameters by averaging method

Bifurcation of periodic orbits of periodic equations with multiple parameters by averaging method

We investigate a class of n-dimensional periodic differential equations with multiple small parameters by averaging method, and obtain sufficient conditions for the existence of multiple periodic orbits. As applications of the main results, a cubic system is studied.

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Veröffentlicht in:Journal of mathematical analysis and applications 2020-10, Vol.490 (2), p.124311, Article 124311
Hauptverfasser: Sheng, Lijuan, Wang, Shanshan, Li, Xueli, Han, Maoan
Format: Artikel
Sprache:eng
Schlagworte:
Averaging function
Bifurcation
Limit cycle
Multiple small parameters
Periodic orbit
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Beschreibung
Zusammenfassung:We investigate a class of n-dimensional periodic differential equations with multiple small parameters by averaging method, and obtain sufficient conditions for the existence of multiple periodic orbits. As applications of the main results, a cubic system is studied.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2020.124311