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Author ID: zhang.zhifen Recent zbMATH articles by "Zhang, Zhifen"
Published as: Zhang, Zhifen; Zhang, Zhi-fen; Zhang, Zhi-Fen
Documents Indexed: 56 Publications since 1980, including 1 Book
Biographic References: 1 Publication
Co-Authors: 30 Co-Authors with 45 Joint Publications
1,020 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 691 times in 515 Documents Cited by Year
Qualitative theory of differential equations. Transl. from the Chinese by Anthony Wing-Kwok Leung. Zbl 0779.34001
Zhang, Zhifen; Ding, Tongren; Huang, Wenzao; Dong, Zhenxi
130
1992
A criterion for determining the monotonicity of the ratio of two Abelian integrals. Zbl 0849.34022
Li, Chengzhi; Zhang, Zhifen
64
1996
Proof of the uniqueness theorems of limit cycles of generalized Liénard equations. Zbl 0595.34033
Zhang, Zhifen
51
1986
Linear estimate of the number of zeros of Abelian integrals for a kind of quartic Hamiltonians. Zbl 0961.34016
Zhao, Yulin; Zhang, Zhifen
50
1999
Limit cycles bifurcating from the period annulus of quasi-homogeneous centers. Zbl 1176.34038
Li, Weigu; Llibre, Jaume; Yang, Jiazhong; Zhang, Zhifen
33
2009
Weak focus, limit cycles, and bifurcations for bounded quadratic systems. Zbl 0823.34043
Li, Chengzhi; Llibre, Jaume; Zhang, Zhifen
29
1995
A note on a result of G. S. Petrov about the weakened 16th Hilbert problem. Zbl 0829.34022
Li, Baoyi; Zhang, Zhifen
28
1995
Linear estimate for the number of zeros of Abelian integrals for quadratic isochronous centres. Zbl 0999.34032
Li, Chengzhi; Li, Weigu; Llibre, Jaume; Zhang, Zhifen
25
2000
Cyclicity 1 and 2 conditions for a 2-polycycle of integrable systems on the plane. Zbl 0935.34022
Han, Maoan; Zhang, Zhifen
22
1999
Chebyshev property of complete elliptic integrals and its application to Abelian integrals. Zbl 1086.34523
Gasull, Armengol; Li, Weigu; Llibre, Jaume; Zhang, Zhifen
22
2002
Abelian integrals for quadratic centres having almost all their orbits formed by quartics. Zbl 1038.37016
Li, Weigu; Zhao, Yulin; Li, Chengzhi; Zhang, Zhifen
21
2002
On the uniqueness of the limit cycle of the generalized Liénard equation. Zbl 0805.34031
Zeng, Xianwu; Zhang, Zhifen; Gao, Suzhi
20
1994
Linear estimation of the number of zeros of abelian integral for some cubic isochronous centers. Zbl 1010.34026
Li, Chengzhi; Li, Weigu; Llibre, Jaume; Zhang, Zhifen
18
2002
On the existence and uniqueness of limit cycles for generalized Liénard systems. Zbl 1143.34020
Xiao, Dongmei; Zhang, Zhifen
17
2008
Linear estimate on the number of zeros of Abelian integrals for quadratic centers having almost all their orbits formed by cubics. Zbl 1107.34312
Zhao, Yulin; Li, Weigu; Li, Chengzhi; Zhang, Zhifen
17
2002
High order Melnikov functions and the problem of uniformity in global bifurcation. Zbl 0768.34023
Zhang, Zhifen; Li, Baoyi
17
1992
Polynomial systems: a lower bound for the weakened 16th Hilbert problem. Zbl 1125.34317
Li, Chengzhi; Li, Weigu; Llibre, Jaume; Zhang, Zhifen
17
2001
Abelian integrals for cubic vector fields. Zbl 0958.34026
Zhao, Yulin; Zhang, Zhifen
14
1999
On the limit cycles of polynomial differential systems with homogeneous nonlinearities. Zbl 0974.34029
Li, Chengzhi; Li, Weigu; Llibre, Jaume; Zhang, Zhifen
13
2000
On the number of limit cycles of a class of quadratic Hamiltonian systems under quadratic perturbations. Zbl 0948.34020
Zhang, Zhifen; Li, Chengzhi
12
1997
Abelian integrals of quadratic Hamiltonian vector fields with an invariant straight line. Zbl 0856.58033
Li, Chengzhi; Llibre, Jaume; Zhang, Zhifen
10
1995
Sufficient conditions for the existence of at least \(n\) or exactly \(n\) limit cycles for the Liénard differential systems. Zbl 1131.34026
Chen, Xiudong; Llibre, Jaume; Zhang, Zhifen
9
2007
Effects of viscosity on the growth of Rayleigh-Taylor instability. Zbl 1432.76101
Cao, Y. G.; Guo, H. Z.; Zhang, Z. F.; Sun, Z. H.; Chow, W. K.
7
2011
Bifurcations of limit cycles from cubic Hamiltonian systems with a center and a homoclinic saddle-loop. Zbl 0962.34026
Zhao, Yulin; Zhang, Zhifen
6
2000
New families of centers and limit cycles for polynomial differential systems with homogeneous nonlinearities. Zbl 1055.34060
Li, Chengzhi; Li, Weigu; Llibre, Jaume; Zhang, Zhifen
6
2003
Focus-center problem of planar degenerate system. Zbl 1153.34328
Tang, Yilei; Li, Weigu; Zhang, Zhifen
5
2008
Abelian integrals and period functions for quasihomogeneous Hamiltonian vector fields. Zbl 1110.34022
Zhao, Yulin; Zhang, Zhifen
5
2005
Theorem of existence of exact \(n\) limit cycles in \(| x| \leq (n+1)\pi\) for the differential equation \(x+\mu(\sin) x+x=0\). Zbl 0508.34019
Zhang, Zhifen
4
1980
Cyclicity of elementary polycycles and ensembles with codimension \(3\) degeneration. Zbl 1094.37501
Zhao, Liqin; Li, Weigu; Zhang, Zhifen
4
1998
Linear estimate of the number of zeros of Abelian integrals for a class of integrable non-Hamiltonian systems. Zbl 1042.34531
Li, Chengzhi; Li, Weigu; Llibre, Jaume; Zhang, Zhifen
4
2001
Answers to some questions on topological dynamical systems posed by Nemytskii. Zbl 0499.54035
Zhang, Zhifen; Ding, Tongren; Huang, Wenzao
3
1980
On the existence of two and only two limit cycles for the Lienard’s equation. Zbl 0517.34023
Zhang, Zhifen
3
1981
Study of perturbed Lotka-Volterra systems via Abelian integrals. Zbl 0854.34034
Gasull, A.; Guillamon, A.; Li, Chengzhi; Zhang, Zhifen
2
1996
Periodic solutions of a switching dynamical system in the plane. Zbl 0631.34052
Villari, Gabriele; Zhang, Zhifen
1
1988
An example of compact non-homogeneous minimal set. Zbl 0498.54037
Zhang, Zhifen
1
1982
A sufficient condition for the existence of no more than n limit cycles for the Lienard equation. Zbl 0525.34024
Zhang, Zhifen; He, Qimin
1
1982
On the existence of exact n limit cycles for the differential equations of Lienard’s type. Zbl 0544.34022
Zhang, Zhifen
1
1984
Unfolding of the critical homoclinic orbit of a class of degenerate equilibrium points. Zbl 0943.34510
Li, Weigu; Li, Chengzhi; Zhang, Zhifen
1
1993
Bifurcation phenomenon of a class of planar codimension 3 polycycle \(S^{(2)}\) with two saddles resonating. Zbl 0935.37018
Li, Baoyi; Zhang, Zhifen
1
1997
Bifurcations of a class of nongeneric quadratic Hamiltonian systems under quadratic perturbations. Zbl 0855.34048
Li, Baoyi; Xiao, Dongmei; Zhang, Zhifen
1
1996
The cyclicity of polycycle \(S^{(2)}\) of planar integrable systems with small perturbations. Zbl 1054.37503
Li, Baoyi; Zhang, Zhifen
1
1999
Proof of the uniqueness theorems of limit cycles of generalized Liénard equations. Zbl 0582.34038
Zhang, Zhifen
1
1986
On the uniqueness of limit cycles of one type of nonlinear differential equations. Zbl 0608.34033
Zhang, Zhifen; Gao, Suzhi
1
1986
Effects of viscosity on the growth of Rayleigh-Taylor instability. Zbl 1432.76101
Cao, Y. G.; Guo, H. Z.; Zhang, Z. F.; Sun, Z. H.; Chow, W. K.
7
2011
Limit cycles bifurcating from the period annulus of quasi-homogeneous centers. Zbl 1176.34038
Li, Weigu; Llibre, Jaume; Yang, Jiazhong; Zhang, Zhifen
33
2009
On the existence and uniqueness of limit cycles for generalized Liénard systems. Zbl 1143.34020
Xiao, Dongmei; Zhang, Zhifen
17
2008
Focus-center problem of planar degenerate system. Zbl 1153.34328
Tang, Yilei; Li, Weigu; Zhang, Zhifen
5
2008
Sufficient conditions for the existence of at least \(n\) or exactly \(n\) limit cycles for the Liénard differential systems. Zbl 1131.34026
Chen, Xiudong; Llibre, Jaume; Zhang, Zhifen
9
2007
Abelian integrals and period functions for quasihomogeneous Hamiltonian vector fields. Zbl 1110.34022
Zhao, Yulin; Zhang, Zhifen
5
2005
New families of centers and limit cycles for polynomial differential systems with homogeneous nonlinearities. Zbl 1055.34060
Li, Chengzhi; Li, Weigu; Llibre, Jaume; Zhang, Zhifen
6
2003
Chebyshev property of complete elliptic integrals and its application to Abelian integrals. Zbl 1086.34523
Gasull, Armengol; Li, Weigu; Llibre, Jaume; Zhang, Zhifen
22
2002
Abelian integrals for quadratic centres having almost all their orbits formed by quartics. Zbl 1038.37016
Li, Weigu; Zhao, Yulin; Li, Chengzhi; Zhang, Zhifen
21
2002
Linear estimation of the number of zeros of abelian integral for some cubic isochronous centers. Zbl 1010.34026
Li, Chengzhi; Li, Weigu; Llibre, Jaume; Zhang, Zhifen
18
2002
Linear estimate on the number of zeros of Abelian integrals for quadratic centers having almost all their orbits formed by cubics. Zbl 1107.34312
Zhao, Yulin; Li, Weigu; Li, Chengzhi; Zhang, Zhifen
17
2002
Polynomial systems: a lower bound for the weakened 16th Hilbert problem. Zbl 1125.34317
Li, Chengzhi; Li, Weigu; Llibre, Jaume; Zhang, Zhifen
17
2001
Linear estimate of the number of zeros of Abelian integrals for a class of integrable non-Hamiltonian systems. Zbl 1042.34531
Li, Chengzhi; Li, Weigu; Llibre, Jaume; Zhang, Zhifen
4
2001
Linear estimate for the number of zeros of Abelian integrals for quadratic isochronous centres. Zbl 0999.34032
Li, Chengzhi; Li, Weigu; Llibre, Jaume; Zhang, Zhifen
25
2000
On the limit cycles of polynomial differential systems with homogeneous nonlinearities. Zbl 0974.34029
Li, Chengzhi; Li, Weigu; Llibre, Jaume; Zhang, Zhifen
13
2000
Bifurcations of limit cycles from cubic Hamiltonian systems with a center and a homoclinic saddle-loop. Zbl 0962.34026
Zhao, Yulin; Zhang, Zhifen
6
2000
Linear estimate of the number of zeros of Abelian integrals for a kind of quartic Hamiltonians. Zbl 0961.34016
Zhao, Yulin; Zhang, Zhifen
50
1999
Cyclicity 1 and 2 conditions for a 2-polycycle of integrable systems on the plane. Zbl 0935.34022
Han, Maoan; Zhang, Zhifen
22
1999
Abelian integrals for cubic vector fields. Zbl 0958.34026
Zhao, Yulin; Zhang, Zhifen
14
1999
The cyclicity of polycycle \(S^{(2)}\) of planar integrable systems with small perturbations. Zbl 1054.37503
Li, Baoyi; Zhang, Zhifen
1
1999
Cyclicity of elementary polycycles and ensembles with codimension \(3\) degeneration. Zbl 1094.37501
Zhao, Liqin; Li, Weigu; Zhang, Zhifen
4
1998
On the number of limit cycles of a class of quadratic Hamiltonian systems under quadratic perturbations. Zbl 0948.34020
Zhang, Zhifen; Li, Chengzhi
12
1997
Bifurcation phenomenon of a class of planar codimension 3 polycycle \(S^{(2)}\) with two saddles resonating. Zbl 0935.37018
Li, Baoyi; Zhang, Zhifen
1
1997
A criterion for determining the monotonicity of the ratio of two Abelian integrals. Zbl 0849.34022
Li, Chengzhi; Zhang, Zhifen
64
1996
Study of perturbed Lotka-Volterra systems via Abelian integrals. Zbl 0854.34034
Gasull, A.; Guillamon, A.; Li, Chengzhi; Zhang, Zhifen
2
1996
Bifurcations of a class of nongeneric quadratic Hamiltonian systems under quadratic perturbations. Zbl 0855.34048
Li, Baoyi; Xiao, Dongmei; Zhang, Zhifen
1
1996
Weak focus, limit cycles, and bifurcations for bounded quadratic systems. Zbl 0823.34043
Li, Chengzhi; Llibre, Jaume; Zhang, Zhifen
29
1995
A note on a result of G. S. Petrov about the weakened 16th Hilbert problem. Zbl 0829.34022
Li, Baoyi; Zhang, Zhifen
28
1995
Abelian integrals of quadratic Hamiltonian vector fields with an invariant straight line. Zbl 0856.58033
Li, Chengzhi; Llibre, Jaume; Zhang, Zhifen
10
1995
On the uniqueness of the limit cycle of the generalized Liénard equation. Zbl 0805.34031
Zeng, Xianwu; Zhang, Zhifen; Gao, Suzhi
20
1994
Unfolding of the critical homoclinic orbit of a class of degenerate equilibrium points. Zbl 0943.34510
Li, Weigu; Li, Chengzhi; Zhang, Zhifen
1
1993
Qualitative theory of differential equations. Transl. from the Chinese by Anthony Wing-Kwok Leung. Zbl 0779.34001
Zhang, Zhifen; Ding, Tongren; Huang, Wenzao; Dong, Zhenxi
130
1992
High order Melnikov functions and the problem of uniformity in global bifurcation. Zbl 0768.34023
Zhang, Zhifen; Li, Baoyi
17
1992
Periodic solutions of a switching dynamical system in the plane. Zbl 0631.34052
Villari, Gabriele; Zhang, Zhifen
1
1988
Proof of the uniqueness theorems of limit cycles of generalized Liénard equations. Zbl 0595.34033
Zhang, Zhifen
51
1986
Proof of the uniqueness theorems of limit cycles of generalized Liénard equations. Zbl 0582.34038
Zhang, Zhifen
1
1986
On the uniqueness of limit cycles of one type of nonlinear differential equations. Zbl 0608.34033
Zhang, Zhifen; Gao, Suzhi
1
1986
On the existence of exact n limit cycles for the differential equations of Lienard’s type. Zbl 0544.34022
Zhang, Zhifen
1
1984
An example of compact non-homogeneous minimal set. Zbl 0498.54037
Zhang, Zhifen
1
1982
A sufficient condition for the existence of no more than n limit cycles for the Lienard equation. Zbl 0525.34024
Zhang, Zhifen; He, Qimin
1
1982
On the existence of two and only two limit cycles for the Lienard’s equation. Zbl 0517.34023
Zhang, Zhifen
3
1981
Theorem of existence of exact \(n\) limit cycles in \(| x| \leq (n+1)\pi\) for the differential equation \(x+\mu(\sin) x+x=0\). Zbl 0508.34019
Zhang, Zhifen
4
1980
Answers to some questions on topological dynamical systems posed by Nemytskii. Zbl 0499.54035
Zhang, Zhifen; Ding, Tongren; Huang, Wenzao
3
1980
all top 5

Cited by 488 Authors

56 Llibre, Jaume
49 Han, Maoan
26 Zhao, Yulin
19 Li, Chengzhi
18 Gasull, Armengol
17 Liu, Changjian
17 Zhang, Xiang
16 Zhao, Liqin
15 Chen, Hebai
15 Xiao, Dongmei
14 Huang, Jicai
13 Tang, Yilei
12 Giné, Jaume
12 Sun, Xianbo
12 Xiong, Yanqin
12 Yang, Jihua
11 Li, Shimin
10 Asheghi, Rasoul
10 Li, Zhong
10 Valls Anglés, Cláudia
10 Zhang, Zhifen
9 Dumortier, Freddy
9 Liang, Haihua
9 Zhang, Weinian
8 Kooij, Robert E.
8 Wu, Yuhai
8 Yu, Pei
8 Zegeling, André
7 Chen, Fengde
7 Peng, Linping
7 Prohens, Rafel
7 Wang, Jihua
7 Wu, Kuilin
7 Yang, Junmin
7 Zang, Hong
7 Zangeneh, Hamid R. Z.
7 Zhang, Tonghua
7 Zhou, Yuqian
6 Cen, Xiuli
6 Giacomini, Hector J.
6 Kuang, Yang
6 Li, Weigu
6 Liu, Qian
6 Ruan, Shigui
6 Wang, Hao
6 Wang, Zhaoxia
6 Xia, Yonghui
6 Yu, Jiang
6 Zhu, Zhenliang
5 Chen, Xingwu
5 Huang, Bo
5 Li, Cuiping
5 Li, Jibin
5 Zhang, Weiguo
4 Algaba, Antonio
4 Bakhshalizadeh, Ali
4 Bendjeddou, Ahmed
4 Berbache, Aziza
4 Cai, Meilan
4 d’Onofrio, Alberto
4 Françoise, Jean-Pierre
4 García-Saldaña, Johanna D.
4 García, Cristóbal
4 Gentile, Guido
4 Grau, Maite
4 He, Mengxin
4 Iliev, Iliya Dimov
4 Lu, Min
4 Pérez del Río, Jesús S.
4 Shi, Junping
4 Tian, Lixin
4 Torregrosa, Joan
3 Alvarez, María Jesus
3 Barreira, Luis Manuel
3 Chen, Wencheng
3 Coll, Bartomeu
3 de Moraes, Jaime R.
3 Feng, Zhaosheng
3 García, Belén
3 Gavrilov, Lubomir
3 Huang, Jianfeng
3 Jia, Man
3 Li, Feng
3 Li, Xiang
3 Ling, Xingqian
3 Liu, Yirong
3 Lopes, Bruno Domeniciano
3 Mañosas, Francesc
3 Niu, Wei
3 Nyamoradi, Nemat
3 Ponce, Enrique
3 Romanovskiĭ, Valeriĭ Georgievich
3 Sheng, Lijuan
3 Tian, Yun
3 Xiang, Guanghui
3 Yang, Jiazhong
3 Zhang, Huiyang
3 Zhang, Wei
3 Zhang, Yuyue
2 Artés, Joan Carles
...and 388 more Authors
all top 5

Cited in 112 Serials

72 Journal of Differential Equations
41 Journal of Mathematical Analysis and Applications
41 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
33 Qualitative Theory of Dynamical Systems
22 Chaos, Solitons and Fractals
18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
16 Applied Mathematics and Computation
14 Discrete and Continuous Dynamical Systems. Series B
11 Bulletin des Sciences Mathématiques
10 Acta Mathematicae Applicatae Sinica. English Series
10 Nonlinear Dynamics
10 Nonlinear Analysis. Real World Applications
9 Journal of Dynamics and Differential Equations
9 Advances in Difference Equations
7 Journal of Mathematical Biology
7 Applied Mathematics Letters
7 Acta Mathematica Sinica. English Series
6 Physica D
6 Science in China. Series A
6 Nonlinear Analysis. Theory, Methods & Applications
5 Computers & Mathematics with Applications
5 Mathematics and Computers in Simulation
5 Discrete and Continuous Dynamical Systems
4 Journal of Nonlinear Science
4 Dynamical Systems
4 Science China. Mathematics
4 Journal of Applied Analysis and Computation
3 Mathematical Biosciences
3 Mathematical Methods in the Applied Sciences
3 Rocky Mountain Journal of Mathematics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Transactions of the American Mathematical Society
3 Chinese Annals of Mathematics. Series B
3 Applied Mathematics. Series B (English Edition)
3 Electronic Journal of Differential Equations (EJDE)
3 Buletinul Academiei de Științe a Republicii Moldova. Matematica
3 Communications in Nonlinear Science and Numerical Simulation
3 Mediterranean Journal of Mathematics
3 Mathematical Biosciences and Engineering
2 Bulletin of the Australian Mathematical Society
2 Communications in Mathematical Physics
2 Israel Journal of Mathematics
2 Nonlinearity
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Mathematical and Computer Modelling
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 SIAM Journal on Applied Mathematics
2 Journal of Mathematical Chemistry
2 Abstract and Applied Analysis
2 Discrete Dynamics in Nature and Society
2 Journal of Applied Mathematics
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Communications on Pure and Applied Analysis
2 Journal of Biological Dynamics
2 Discrete and Continuous Dynamical Systems. Series S
2 Open Mathematics
1 Applicable Analysis
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Metrika
1 Wave Motion
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Advances in Mathematics
1 Calcolo
1 Geometriae Dedicata
1 Journal of Computational and Applied Mathematics
1 Journal of Mathematical Economics
1 Proceedings of the American Mathematical Society
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Studies in Applied Mathematics
1 Tôhoku Mathematical Journal. Second Series
1 Applied Mathematics and Mechanics. (English Edition)
1 Annals of Global Analysis and Geometry
1 Journal of Complexity
1 MCSS. Mathematics of Control, Signals, and Systems
1 Mathematica Bohemica
1 Acta Mathematica Universitatis Comenianae. New Series
1 Applications of Mathematics
1 Aequationes Mathematicae
1 Linear Algebra and its Applications
1 SIAM Journal on Mathematical Analysis
1 Stochastic Processes and their Applications
1 Expositiones Mathematicae
1 Acta Mathematica Sinica. New Series
1 Chinese Science Bulletin
1 Filomat
1 Journal of Difference Equations and Applications
1 Differential Equations and Dynamical Systems
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal of Dynamical and Control Systems
1 Communications in Contemporary Mathematics
1 Methodology and Computing in Applied Probability
1 The ANZIAM Journal
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Journal of the Australian Mathematical Society
1 Applied Mathematics E-Notes
1 Advanced Nonlinear Studies
1 Journal of Applied Mathematics and Computing
1 Journal of Dynamical Systems and Geometric Theories
...and 12 more Serials

Citations by Year