Centers and Limit Cycles of a Generalized Cubic Riccati System-Reference-Cited by-同舟云学术

Centers and Limit Cycles of a Generalized Cubic Riccati System

Published:2020-02 Issue:02 Volume:30 Page:2050021
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Zhou Zhengxin¹,Romanovski Valery G.²³⁴,Yu Jiang⁵^ORCID

Affiliation:

1. School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, P. R. China

2. Faculty of Electrical Engineering and Computer Science, University of Maribor, Smetanova 17, Maribor, SI-2000 Maribor, Slovenia

3. CAMTP — Center for Applied Mathematics and Theoretical Physics, University of Maribor, Krekova 2, SI-2000 Maribor, Slovenia

4. Faculty of Natural Science and Mathematics, University of Maribor, Koroška c. 160, SI-2000 Maribor, Slovenia

5. School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, P. R. China

Abstract

We obtain the conditions for the existence of a center for a cubic planar differential system, which can be considered as a polynomial subfamily of the generalized Riccati system. We also investigate bifurcations of small limit cycles from the components of the center variety of the system.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Jiangsu Province

Slovenian Research Agency

Natural Science Foundation of Shanghai

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127420500212

Reference31 articles.

1. Modular algorithms for computing Gröbner bases

2. Bifurcation of critical periods for plane vector fields

3. On the Paper of Jin and Wang Concerning the conditions for a Centre in certain Cubic Systems

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