Limit Cycle Bifurcations in Perturbations of a Reversible Quadratic System with a Non-rational First Integral-Reference-Cited by-同舟云学术

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Limit Cycle Bifurcations in Perturbations of a Reversible Quadratic System with a Non-rational First Integral

Published:2020-11-04 Issue:3 Volume:19 Page:
ISSN:1575-5460
Container-title:Qualitative Theory of Dynamical Systems
language:en
Short-container-title:Qual. Theory Dyn. Syst.

Author:

Xiong Yanqin,Cheng Rong,Li Na

Funder

National Outstanding Youth Science Fund Project of National Natural Science Foundation of China

Basic Research Program of Jiangsu Province

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Link

http://link.springer.com/content/pdf/10.1007/s12346-020-00434-w.pdf

Reference32 articles.

1. Chicone, C., Jacobs, M.: Bifurcation of limit cycles from quadratic isochronous. J. Differ. Equ. 91, 268–326 (1991)

2. Chen, F., Li, C., Llibre, J., Zhang, Z.: A unified proof on the weak Hilbert 16th problem for $$n=2$$. J. Differ. Equ. 221, 309–342 (2006)

3. Cen, X., Liu, C., Yang, L., Zhang, M.: Limit cycles by perturbing quadratic isochronous centers inside piecewise polynomial differential systems. J. Differ. Equ. 265, 6083–6126 (2018)

4. Cruz, L., Novaes, D., Torregrosa, J.: New lower bound for the Hilbert number in piecewise quadratic differential systems. J. Differ. Equ. 266, 4170–4203 (2019)

5. Castillo, J., Llibre, J., Verduzco, F.: The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems. Nonlinear Dyn. 90, 1829–1840 (2017)

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