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Maximum Number of Small Limit Cycles in Some Rational Liénard Systems with Cubic Restoring Terms.
- Source :
-
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering . 2021, Vol. 31 Issue 12, p1-9. 9p. - Publication Year :
- 2021
-
Abstract
- In this paper, we obtain an upper bound for the number of small-amplitude limit cycles produced by Hopf bifurcation in one particular type of rational Liénard systems in the form of ẋ = y − q n (x) / p m (x) , ẏ = − g (x) , where q n (x) and p m (x) are polynomials in x with degrees n and m , respectively. Furthermore, we show that the upper bound presented here is sharp in the case of m = n. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LIMIT cycles
*HOPF bifurcations
Subjects
Details
- Language :
- English
- ISSN :
- 02181274
- Volume :
- 31
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 152635587
- Full Text :
- https://doi.org/10.1142/S0218127421501765