Two different distributions of limit cycles in a quintic system
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Authors
Hongwei Li
- School of Science, Linyi University, Linyi, 276005, China.
Yinlai Jin
- School of Science, Linyi University, Linyi, 276005, China.
Abstract
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.
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ISRP Style
Hongwei Li, Yinlai Jin, Two different distributions of limit cycles in a quintic system, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 3, 255--266
AMA Style
Li Hongwei, Jin Yinlai, Two different distributions of limit cycles in a quintic system. J. Nonlinear Sci. Appl. (2015); 8(3):255--266
Chicago/Turabian Style
Li, Hongwei, Jin, Yinlai. "Two different distributions of limit cycles in a quintic system." Journal of Nonlinear Sciences and Applications, 8, no. 3 (2015): 255--266
Keywords
- Third-order nilpotent critical point
- center-focus problem
- bifurcation of limit cycles
- quasi-Lyapunov constant.
MSC
References
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