Limit cycle bifurcations and analytic center conditions for a class of generalized nilpotent systems


Authors

Yusen Wu - School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471023 Henan, P. R. China. Cui Zhang - School of Mathematical Science, Luoyang Normal University, Luoyang, 410022 Henan, P. R. China. Sumin Yang - School of Humanities and Science, Guangxi Technological College of Machinery and Electricity, Nanning, 530007 Guangxi, P. R. China.


Abstract

Bifurcation of limit cycles and analytic center conditions for a class of systems in which the origin is a generalized nilpotent singular point are discussed. An interesting phenomenon is that the exponent parameter \(n\) controls the singular point type of the studied system (1.1).


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ISRP Style

Yusen Wu, Cui Zhang, Sumin Yang, Limit cycle bifurcations and analytic center conditions for a class of generalized nilpotent systems, Journal of Mathematics and Computer Science, 17 (2017), no. 2, 278-287

AMA Style

Wu Yusen, Zhang Cui, Yang Sumin, Limit cycle bifurcations and analytic center conditions for a class of generalized nilpotent systems. J Math Comput SCI-JM. (2017); 17(2):278-287

Chicago/Turabian Style

Wu, Yusen, Zhang, Cui, Yang, Sumin. "Limit cycle bifurcations and analytic center conditions for a class of generalized nilpotent systems." Journal of Mathematics and Computer Science, 17, no. 2 (2017): 278-287


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