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- Title
Liénard Equation and Its Generalizations.
- Authors
Giné, Jaume
- Abstract
In this paper, we first present a survey of the known results on limit cycles and center conditions for Liénard differential systems. Next we propose a generalization of such systems and we study their center conditions and the number of small-amplitude limit cycles that can bifurcate from the origin. Computing the focal values and using Gröbner bases we find the center conditions for such systems up to a certain degree. We also establish a conjecture about the center conditions for such systems when they have arbitrary degree.
- Subjects
LINEAR equations; QUANTUM computing; GROBNER bases; EXTERIOR differential systems; VAN der Pol equation
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2017, Vol 27, Issue 6, p-1
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S021812741750081X