Geodesic
Two different distributions of limit cycles in a quintic system
Li, Hongwei1 ; Jin, Yinlai1
1 School of Science, Linyi University, Linyi, 276005, China
Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 3, p. 255-266.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, the conditions for bifurcations of limit cycles from a third-order nilpotent critical point in a class of quintic systems are investigated. Treaty the system coefficients as parameters, we obtain explicit expressions for the first fourteen quasi Lyapunov constants. As a result, fourteen or fifteen small amplitude limit cycles with different distributions could be created from the third-order nilpotent critical point by two different perturbations.
DOI : 10.22436/jnsa.008.03.10
Classification : 34C05, 34C07
Keywords: Third-order nilpotent critical point, center-focus problem, bifurcation of limit cycles, quasi-Lyapunov constant.

Li, Hongwei 1 ; Jin, Yinlai 1

1 School of Science, Linyi University, Linyi, 276005, China 
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Li, Hongwei; Jin, Yinlai. Two different distributions of limit cycles in a quintic system. Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 3, p. 255-266. doi : 10.22436/jnsa.008.03.10. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.008.03.10/

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