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Articles, 3 records found
Articles 3 records found  
1.
20 p, 565.6 KB The limit cycles of the Higgins-Selkov systems / Chen, Hebai (Central South University. School of Mathematics and Statistics (People's Republic of China)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Tang, Yilei (Shanghai Jiao Tong University. School of Mathematical Sciences (People's Republic of China))
In this paper, we investigate the problem of limit cycles for general Higgins-Selkov systems with degree n+ 1. In particular, we first prove the uniqueness of limit cycles for a general Liénard system, which allows for discontinuity. [...]
2021 - 10.1007/s00332-021-09742-0
Journal of Nonlinear Science, Vol. 31, Issue 5 (October 2021) , art. 85  
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2.
17 p, 414.8 KB Centers of discontinuous piecewise smooth quasi-homogeneous polynomial differential systems / Chen, Hebai (Fuzhou University. College of Mathematics and Computer Science (China)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Tang, Yilei (Shanghai Jiao Tong University. School of Mathematical Sciences (China))
In this paper we investigate the center problem for the discontinuous piecewise smooth quasi-homogeneous but non-homogeneous polynomial differential systems. First, we provide sufficient and necessary conditions for the existence of a center in the discontinuous piecewise smooth quasi-homogeneous polynomial differential systems. [...]
2019 - 10.3934/dcdsb.2019150
Discrete and continuous dynamical systems. Series B, Vol. 24, Issue 12 (December 2019) , p. 6495-6509  
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3.
30 p, 1.1 MB Global dynamics of a SD oscillator / Chen, Hebai (Fuzhou University. College of Mathematics and Computer Science) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Tang, Yilei (Shanghai Jiao Tong University. School of Mathematical Sciences)
In this paper we derive the global bifurcation diagrams of a SD oscillator which exhibits both smooth and discontinuous dynamics depending on the value of a parameter a. We research all possible bifurcations of this system, including Pitchfork bifurcation, degenerate Hopf bifurcation, Homoclinic bifurcation, Double limit cycle bifurcation, Bautin bifurcation and Bogdanov-Takens bifurcation. [...]
2018 - 10.1007/s11071-017-3979-y
Nonlinear dynamics, Vol. 91, issue 3 (Feb. 2018) , p. 1755-1777  
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See also: similar author names
249 Chen, H.
1 Chen, H.R.V.
1 Chen, H.Y.
1 Chen, Haily
2 Chen, Han Y. H.
1 Chen, Hongzheng
2 Chen, Hsi-Chung
1 Chen, Hsi-Hsien
1 Chen, Hsiao-Wei
2 Chen, Hsin-Yu
1 Chen, Hucheng
1 Chen, Hui-Wei
2 Chen, Hung-Hsin
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