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Author ID: li.chengzhi Recent zbMATH articles by "Li, Chengzhi"
Published as: Li, Chengzhi; Li, Cheng Zhi
Documents Indexed: 92 Publications since 1982, including 4 Books
Co-Authors: 59 Co-Authors with 80 Joint Publications
1,572 Co-Co-Authors
all top 5

Serials

26 Journal of Differential Equations
7 Nonlinearity
5 Journal of Mathematical Analysis and Applications
3 Annals of Differential Equations
3 Qualitative Theory of Dynamical Systems
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Advances in Mathematics (Beijing)
2 Publicacions Matemàtiques
2 Journal of Dynamics and Differential Equations
2 Discrete and Continuous Dynamical Systems
2 Journal of Applied Analysis and Computation
2 Advanced Courses in Mathematics – CRM Barcelona
1 Physics Letters. A
1 Acta Mathematica Sinica
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Proceedings of the American Mathematical Society
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Ergodic Theory and Dynamical Systems
1 Mathematics in Practice and Theory
1 Chinese Annals of Mathematics. Series B
1 Journal of Systems Science and Mathematical Sciences
1 Extracta Mathematicae
1 Science in China. Series A
1 Real-Time Systems
1 IEEE Transactions on Signal Processing
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Mathematical Analysis
1 Scientia Sinica. Series A
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Engineering Analysis with Boundary Elements
1 Differential Equations and Dynamical Systems
1 Wireless Networks
1 Discrete and Continuous Dynamical Systems. Series B
1 Communications on Pure and Applied Analysis
1 Discrete and Continuous Dynamical Systems. Series S
1 Quantum Information & Computation
1 Scientia Sinica. Mathematica

Publications by Year

Citations contained in zbMATH Open

77 Publications have been cited 1,808 times in 1,035 Documents Cited by Year
Normal forms and bifurcation of planar vector fields. Zbl 0804.34041
Chow, Shui-Nee; Li, Chengzhi; Wang, Duo
228
1994
Limit cycles of differential equations. Zbl 1359.34001
Christopher, Colin; Li, Chengzhi
119
2007
A cubic system with thirteen limit cycles. Zbl 1176.34037
Li, Chengzhi; Liu, Changjian; Yang, Jiazhong
84
2009
Perturbation from an elliptic Hamiltonian of degree four. IV: Figure eight-loop. Zbl 1057.34015
Dumortier, Freddy; Li, Chengzhi
81
2003
Perturbations from an elliptic Hamiltonian of degree four. I: Saddle loop and two saddle cycles. Zbl 1004.34018
Dumortier, Freddy; Li, Chengzhi
72
2001
Canard cycles for predator-prey systems with Holling types of functional response. Zbl 1257.34035
Li, Chengzhi; Zhu, Huaiping
67
2013
A criterion for determining the monotonicity of the ratio of two Abelian integrals. Zbl 0849.34022
Li, Chengzhi; Zhang, Zhifen
66
1996
Perturbations from an elliptic Hamiltonian of degree four. II: Cuspidal loop. Zbl 1034.34036
Dumortier, Freddy; Li, Chengzhi
63
2001
Degenerate Hopf bifurcation formulas and Hilbert’s 16th problem. Zbl 0682.58035
Farr, W. W.; Li, Chengzhi; Labouriau, I. S.; Langford, W. F.
59
1989
Perturbation from an elliptic Hamiltonian of degree four. III: global centre. Zbl 1056.34044
Dumortier, Freddy; Li, Chengzhi
53
2003
A unified proof of the weakened Hilbert 16th problem for \(n=2\). Zbl 1098.34024
Chen, Fengde; Li, Chengzhi; Llibre, Jaume; Zhang, Zenghua
48
2006
Uniqueness of limit cycles for Liénard differential equations of degree four. Zbl 1248.34035
Li, Chengzhi; Llibre, Jaume
47
2012
Unfolding of a quadratic integrable system with two centers and two unbounded heteroclinic loops. Zbl 0883.34035
Dumortier, Freddy; Li, Chengzhi; Zhang, Zifen
38
1997
On the uniqueness of limit cycles surrounding one or more singularities for Liénard equations. Zbl 0907.58056
Dumortier, Freddy; Li, Chengzhi
37
1996
A system with three limit cycles appearing in a Hopf bifurcation and dying in a homoclinic bifurcation: The cusp of order 4. Zbl 0684.34048
Li, Chengzhi; Rousseau, Christine
35
1989
Quadratic Liénard equations with quadratic damping. Zbl 0881.34046
Dumortier, Freddy; Li, Chengzhi
34
1997
Abelian integrals and limit cycles. Zbl 1270.34004
Li, Chengzhi
32
2012
Integrability and linearizability of the Lotka-Volterra systems. Zbl 1046.34075
Liu, Changjian; Chen, Guoting; Li, Chengzhi
31
2004
Weak focus, limit cycles, and bifurcations for bounded quadratic systems. Zbl 0823.34043
Li, Chengzhi; Llibre, Jaume; Zhang, Zhifen
29
1995
The cyclicity of period annuli of degenerate quadratic Hamiltonian systems with elliptic segment loops. Zbl 1094.34020
Chow, Shui-Nee; Li, Chengzhi; Yi, Yingfei
26
2002
Codimension 3 B-T bifurcations in an epidemic model with a nonlinear incidence. Zbl 1317.34168
Li, Chengzhi; Li, Jianquan; Ma, Zhien
26
2015
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
Remarks on 16th weak Hilbert problem for \(n=2\). Zbl 1219.34042
Li, Chengzhi; Zhang, Zenghau
24
2002
Bifurcations of limit cycles from quadratic non-Hamiltonian systems with two centres and two unbounded heteroclinic loops. Zbl 1077.34035
Iliev, Iliya D.; Li, Chengzhi; Yu, Jiang
24
2005
Limit cycles appearing from the perturbation of a system with a multiple line of critical points. Zbl 1241.34037
Gasull, Armengol; Li, Chengzhi; Torregrosa, Joan
24
2012
Abelian integrals for quadratic centres having almost all their orbits formed by quartics. Zbl 1038.37016
Li, Weigu; Zhao, Yulin; Li, Chengzhi; Zhang, Zhifen
22
2002
The cyclicity of period annuli of some classes of reversible quadratic systems. Zbl 1119.34028
Chen, Guoting; Li, C.; Llibre, J.; Liu, C.
20
2006
Quadratic perturbations of a class of quadratic reversible systems with two centers. Zbl 1181.34041
Coll, Bartomeu; Li, Chengzhi; Prohens, Rafel
20
2009
The cyclicity of period annulus of a quadratic reversible Lotka-Volterra system. Zbl 1193.34062
Li, Chengzhi; Llibre, Jaume
19
2009
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
A new Chebyshev family with applications to Abel equations. Zbl 1233.41003
Gasull, Armengol; Li, Chengzhi; Torregrosa, Joan
17
2012
Two problems of planar quadratic systems. Zbl 0534.34033
Li, Chengzhi
17
1983
Bifurcation of a class of planar non-Hamiltonian integrable systems with one center and one homoclinic loop. Zbl 1019.34042
Yu, Jiang; Li, Chengzhi
16
2002
Canard phenomenon for an SIS epidemic model with nonlinear incidence. Zbl 1303.34040
Li, Chengzhi; Li, Jianquan; Ma, Zhien; Zhu, Huanping
16
2014
The period function of hyperelliptic Hamiltonians of degree 5 with real critical points. Zbl 1142.34016
Li, Chengzhi; Lu, Kening
14
2008
On the number of limit cycles of a class of quadratic Hamiltonian systems under quadratic perturbations. Zbl 0948.34020
Zhang, Zhifen; Li, Chengzhi
13
1997
On the limit cycles of polynomial differential systems with homogeneous nonlinearities. Zbl 0974.34029
Li, Chengzhi; Li, Weigu; Llibre, Jaume; Zhang, Zhifen
13
2000
Codimension 2 symmetric homoclinic bifurcations and application to 1:2 resonance. Zbl 0714.58039
Li, Chengzhi; Rousseau, Christiane
13
1990
Quadratic perturbations of a quadratic reversible Lotka-Volterra system. Zbl 1213.34071
Li, Chengzhi; Llibre, Jaume
12
2010
A unified study on the cyclicity of period annulus of the reversible quadratic Hamiltonian systems. Zbl 1077.34036
Li, Chengzhi; Llibre, Jaume
11
2004
Slow divergence integral and its application to classical Liénard equations of degree 5. Zbl 1312.34073
Li, Chengzhi; Lu, Kening
11
2014
Bifurcations of limit cycles in a reversible quadratic system with a center, a saddle and two nodes. Zbl 1198.34049
Iliev, Iliya D.; Li, Chengzhi; Yu, Jiang
11
2010
Perturbations of symmetric elliptic Hamiltonians of degree four. Zbl 1105.37034
Li, Chengzhi; Mardešić, Pavao; Roussarie, Robert
10
2006
Abelian integrals of quadratic Hamiltonian vector fields with an invariant straight line. Zbl 0856.58033
Li, Chengzhi; Llibre, Jaume; Zhang, Zhifen
10
1995
Uniqueness of periodic orbits of some vector fields with codimension two singularities. Zbl 0686.34040
Chow, Shuinee; Li, Chengzhi; Wang, Duo
9
1989
Generic unfolding of the nilpotent saddle of codimension four. Zbl 1198.37081
Dumortier, Freddy; Fiddelaers, Peter; Li, Chengzhi
9
2001
On planar quadratic systems possessing two centres. Zbl 0581.34025
Li, Chengzhi
9
1985
Non-existence of limit cycle around a weak focus of order three for any quadratic system. Zbl 0603.34021
Li, Chengzhi
9
1986
On the number of limit cycles arising from perturbations of homoclinic loops of quadratic integrable systems. Zbl 0898.34025
He, Yue; Li, Chengzhi
8
1997
\({\mathcal X}^*\) plus axiom A does non imply no-cycle. Zbl 0831.58042
Li, Chengzhi; Wen, Lan
8
1995
Periodic orbits in 3-dimensional systems and application to a perturbed Volterra system. Zbl 1382.34033
Li, Chengzhi; Ma, Zhien; Zhou, Yicang
8
2016
Cubic Liénard equations with quadratic damping having two antisaddles. Zbl 1025.34029
Dumortier, Freddy; Kooij, Robert E.; Li, Chengzhi
7
2000
Cyclicity of several quadratic reversible systems with center of genus one. Zbl 1304.34059
Chen, Long; Ma, Xianzhong; Zhang, Gemeng; Li, Chengzhi
7
2011
On the number of limit cycles bifurcating from a non-global degenerated center. Zbl 1116.34029
Gasull, Armengol; Li, Chengzhi; Liu, Changjian
6
2007
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
Weak Hilbert’s 16th problem and the related research. Zbl 1482.34096
Li, Cheng Zhi; Li, Wei Gu
6
2010
The cyclicity of the elliptic segment loops of the reversible quadratic Hamiltonian systems under quadratic perturbations. Zbl 1071.34032
Li, Chengzhi; Roussarie, Robert
5
2004
Limit cycles for 3-monomial differential equations. Zbl 1323.34037
Gasull, Armengol; Li, Chengzhi; Torregrosa, Joan
5
2015
A simple proof for the unicity of the limit cycle in the Bogdanov-Takens system. Zbl 0706.34026
Li, Chengzhi; Rousseau, Christiane; Wang, Xian
5
1990
Normal forms and bifurcation of planar vector fields. Reprint of the 1994 hardback ed. Zbl 1156.34028
Chow, Shui-Nee; Li, Chengzhi; Wang, Duo
4
2009
On the cubic perturbations of the symmetric 8-loop Hamiltonian. Zbl 1443.34040
Iliev, Iliya D.; Li, Chengzhi; Yu, Jiang
4
2020
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
Existence in the large for certain systems of quasilinear hyperbolic conservation laws. Zbl 0454.35058
Li, C. Z.
3
1982
Cubic homogeneous polynomial centers. Zbl 1321.34048
Li, Chengzhi; Llibre, Jaume
3
2014
A simple proof of the uniqueness of periodic orbits in the 1:3 resonance problem. Zbl 0691.58028
Chow, Shiu-Nee; Li, Chengzhi; Wang, Duo
3
1989
Distributed priority scheduling and medium access in ad hoc networks. Zbl 1030.68721
Kanodia, Vikram; Li, Chengzhi; Sabharwal, Ashutosh; Sadeghi, Bahareh; Knightly, Edward
2
2002
Moduli-free normal forms and linearization of vector fields. Zbl 1117.37026
Li, Chengzhi; Ren, Zhihua; Yang, Jiazhong
2
2006
Study of perturbed Lotka-Volterra systems via Abelian integrals. Zbl 0854.34034
Gasull, A.; Guillamon, A.; Li, Chengzhi; Zhang, Zhifen
2
1996
The cyclicity of the period annulus of a reversible quadratic system. Zbl 1508.34030
Liu, Changjian; Li, Chengzhi; Llibre, Jaume
2
2022
The period function of reversible Lotka-Volterra quadratic centers. Zbl 1492.34032
Li, Jinming; Li, Chengzhi; Liu, Changjian; Wang, Dechen
2
2022
Fast quantum search algorithm for databases of arbitrary size and its implementation in a cavity QED system. Zbl 1254.81027
Li, H. Y.; Wu, C. W.; Liu, W. T.; Chen, P. X.; Li, C. Z.
2
2011
Unfolding of the critical homoclinic orbit of a class of degenerate equilibrium points. Zbl 0943.34510
Li, Weigu; Li, Chengzhi; Zhang, Zhifen
1
1993
A proof of a Dumortier-Roussarie’s conjecture. Zbl 1512.34074
Li, Chengzhi; Liu, Changjian
1
2023
Communication efficiency of anti-jamming broadcast in large-scale multi-channel wireless networks. Zbl 1393.94845
Li, Chengzhi; Dai, Huaiyu; Xiao, Liang; Ning, Peng
1
2012
Slow-fast dynamics and its application to a biological model. Zbl 1365.37064
Li, Chengzhi
1
2016
A proof of a Dumortier-Roussarie’s conjecture. Zbl 1512.34074
Li, Chengzhi; Liu, Changjian
1
2023
The cyclicity of the period annulus of a reversible quadratic system. Zbl 1508.34030
Liu, Changjian; Li, Chengzhi; Llibre, Jaume
2
2022
The period function of reversible Lotka-Volterra quadratic centers. Zbl 1492.34032
Li, Jinming; Li, Chengzhi; Liu, Changjian; Wang, Dechen
2
2022
On the cubic perturbations of the symmetric 8-loop Hamiltonian. Zbl 1443.34040
Iliev, Iliya D.; Li, Chengzhi; Yu, Jiang
4
2020
Periodic orbits in 3-dimensional systems and application to a perturbed Volterra system. Zbl 1382.34033
Li, Chengzhi; Ma, Zhien; Zhou, Yicang
8
2016
Slow-fast dynamics and its application to a biological model. Zbl 1365.37064
Li, Chengzhi
1
2016
Codimension 3 B-T bifurcations in an epidemic model with a nonlinear incidence. Zbl 1317.34168
Li, Chengzhi; Li, Jianquan; Ma, Zhien
26
2015
Limit cycles for 3-monomial differential equations. Zbl 1323.34037
Gasull, Armengol; Li, Chengzhi; Torregrosa, Joan
5
2015
Canard phenomenon for an SIS epidemic model with nonlinear incidence. Zbl 1303.34040
Li, Chengzhi; Li, Jianquan; Ma, Zhien; Zhu, Huanping
16
2014
Slow divergence integral and its application to classical Liénard equations of degree 5. Zbl 1312.34073
Li, Chengzhi; Lu, Kening
11
2014
Cubic homogeneous polynomial centers. Zbl 1321.34048
Li, Chengzhi; Llibre, Jaume
3
2014
Canard cycles for predator-prey systems with Holling types of functional response. Zbl 1257.34035
Li, Chengzhi; Zhu, Huaiping
67
2013
Uniqueness of limit cycles for Liénard differential equations of degree four. Zbl 1248.34035
Li, Chengzhi; Llibre, Jaume
47
2012
Abelian integrals and limit cycles. Zbl 1270.34004
Li, Chengzhi
32
2012
Limit cycles appearing from the perturbation of a system with a multiple line of critical points. Zbl 1241.34037
Gasull, Armengol; Li, Chengzhi; Torregrosa, Joan
24
2012
A new Chebyshev family with applications to Abel equations. Zbl 1233.41003
Gasull, Armengol; Li, Chengzhi; Torregrosa, Joan
17
2012
Communication efficiency of anti-jamming broadcast in large-scale multi-channel wireless networks. Zbl 1393.94845
Li, Chengzhi; Dai, Huaiyu; Xiao, Liang; Ning, Peng
1
2012
Cyclicity of several quadratic reversible systems with center of genus one. Zbl 1304.34059
Chen, Long; Ma, Xianzhong; Zhang, Gemeng; Li, Chengzhi
7
2011
Fast quantum search algorithm for databases of arbitrary size and its implementation in a cavity QED system. Zbl 1254.81027
Li, H. Y.; Wu, C. W.; Liu, W. T.; Chen, P. X.; Li, C. Z.
2
2011
Quadratic perturbations of a quadratic reversible Lotka-Volterra system. Zbl 1213.34071
Li, Chengzhi; Llibre, Jaume
12
2010
Bifurcations of limit cycles in a reversible quadratic system with a center, a saddle and two nodes. Zbl 1198.34049
Iliev, Iliya D.; Li, Chengzhi; Yu, Jiang
11
2010
Weak Hilbert’s 16th problem and the related research. Zbl 1482.34096
Li, Cheng Zhi; Li, Wei Gu
6
2010
A cubic system with thirteen limit cycles. Zbl 1176.34037
Li, Chengzhi; Liu, Changjian; Yang, Jiazhong
84
2009
Quadratic perturbations of a class of quadratic reversible systems with two centers. Zbl 1181.34041
Coll, Bartomeu; Li, Chengzhi; Prohens, Rafel
20
2009
The cyclicity of period annulus of a quadratic reversible Lotka-Volterra system. Zbl 1193.34062
Li, Chengzhi; Llibre, Jaume
19
2009
Normal forms and bifurcation of planar vector fields. Reprint of the 1994 hardback ed. Zbl 1156.34028
Chow, Shui-Nee; Li, Chengzhi; Wang, Duo
4
2009
The period function of hyperelliptic Hamiltonians of degree 5 with real critical points. Zbl 1142.34016
Li, Chengzhi; Lu, Kening
14
2008
Limit cycles of differential equations. Zbl 1359.34001
Christopher, Colin; Li, Chengzhi
119
2007
On the number of limit cycles bifurcating from a non-global degenerated center. Zbl 1116.34029
Gasull, Armengol; Li, Chengzhi; Liu, Changjian
6
2007
A unified proof of the weakened Hilbert 16th problem for \(n=2\). Zbl 1098.34024
Chen, Fengde; Li, Chengzhi; Llibre, Jaume; Zhang, Zenghua
48
2006
The cyclicity of period annuli of some classes of reversible quadratic systems. Zbl 1119.34028
Chen, Guoting; Li, C.; Llibre, J.; Liu, C.
20
2006
Perturbations of symmetric elliptic Hamiltonians of degree four. Zbl 1105.37034
Li, Chengzhi; Mardešić, Pavao; Roussarie, Robert
10
2006
Moduli-free normal forms and linearization of vector fields. Zbl 1117.37026
Li, Chengzhi; Ren, Zhihua; Yang, Jiazhong
2
2006
Bifurcations of limit cycles from quadratic non-Hamiltonian systems with two centres and two unbounded heteroclinic loops. Zbl 1077.34035
Iliev, Iliya D.; Li, Chengzhi; Yu, Jiang
24
2005
Integrability and linearizability of the Lotka-Volterra systems. Zbl 1046.34075
Liu, Changjian; Chen, Guoting; Li, Chengzhi
31
2004
A unified study on the cyclicity of period annulus of the reversible quadratic Hamiltonian systems. Zbl 1077.34036
Li, Chengzhi; Llibre, Jaume
11
2004
The cyclicity of the elliptic segment loops of the reversible quadratic Hamiltonian systems under quadratic perturbations. Zbl 1071.34032
Li, Chengzhi; Roussarie, Robert
5
2004
Perturbation from an elliptic Hamiltonian of degree four. IV: Figure eight-loop. Zbl 1057.34015
Dumortier, Freddy; Li, Chengzhi
81
2003
Perturbation from an elliptic Hamiltonian of degree four. III: global centre. Zbl 1056.34044
Dumortier, Freddy; Li, Chengzhi
53
2003
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
The cyclicity of period annuli of degenerate quadratic Hamiltonian systems with elliptic segment loops. Zbl 1094.34020
Chow, Shui-Nee; Li, Chengzhi; Yi, Yingfei
26
2002
Remarks on 16th weak Hilbert problem for \(n=2\). Zbl 1219.34042
Li, Chengzhi; Zhang, Zenghau
24
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
22
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
Bifurcation of a class of planar non-Hamiltonian integrable systems with one center and one homoclinic loop. Zbl 1019.34042
Yu, Jiang; Li, Chengzhi
16
2002
Distributed priority scheduling and medium access in ad hoc networks. Zbl 1030.68721
Kanodia, Vikram; Li, Chengzhi; Sabharwal, Ashutosh; Sadeghi, Bahareh; Knightly, Edward
2
2002
Perturbations from an elliptic Hamiltonian of degree four. I: Saddle loop and two saddle cycles. Zbl 1004.34018
Dumortier, Freddy; Li, Chengzhi
72
2001
Perturbations from an elliptic Hamiltonian of degree four. II: Cuspidal loop. Zbl 1034.34036
Dumortier, Freddy; Li, Chengzhi
63
2001
Polynomial systems: a lower bound for the weakened 16th Hilbert problem. Zbl 1125.34317
Li, Chengzhi; Li, Weigu; Llibre, Jaume; Zhang, Zhifen
17
2001
Generic unfolding of the nilpotent saddle of codimension four. Zbl 1198.37081
Dumortier, Freddy; Fiddelaers, Peter; Li, Chengzhi
9
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
Cubic Liénard equations with quadratic damping having two antisaddles. Zbl 1025.34029
Dumortier, Freddy; Kooij, Robert E.; Li, Chengzhi
7
2000
Unfolding of a quadratic integrable system with two centers and two unbounded heteroclinic loops. Zbl 0883.34035
Dumortier, Freddy; Li, Chengzhi; Zhang, Zifen
38
1997
Quadratic Liénard equations with quadratic damping. Zbl 0881.34046
Dumortier, Freddy; Li, Chengzhi
34
1997
On the number of limit cycles of a class of quadratic Hamiltonian systems under quadratic perturbations. Zbl 0948.34020
Zhang, Zhifen; Li, Chengzhi
13
1997
On the number of limit cycles arising from perturbations of homoclinic loops of quadratic integrable systems. Zbl 0898.34025
He, Yue; Li, Chengzhi
8
1997
A criterion for determining the monotonicity of the ratio of two Abelian integrals. Zbl 0849.34022
Li, Chengzhi; Zhang, Zhifen
66
1996
On the uniqueness of limit cycles surrounding one or more singularities for Liénard equations. Zbl 0907.58056
Dumortier, Freddy; Li, Chengzhi
37
1996
Study of perturbed Lotka-Volterra systems via Abelian integrals. Zbl 0854.34034
Gasull, A.; Guillamon, A.; Li, Chengzhi; Zhang, Zhifen
2
1996
Weak focus, limit cycles, and bifurcations for bounded quadratic systems. Zbl 0823.34043
Li, Chengzhi; Llibre, Jaume; Zhang, Zhifen
29
1995
Abelian integrals of quadratic Hamiltonian vector fields with an invariant straight line. Zbl 0856.58033
Li, Chengzhi; Llibre, Jaume; Zhang, Zhifen
10
1995
\({\mathcal X}^*\) plus axiom A does non imply no-cycle. Zbl 0831.58042
Li, Chengzhi; Wen, Lan
8
1995
Normal forms and bifurcation of planar vector fields. Zbl 0804.34041
Chow, Shui-Nee; Li, Chengzhi; Wang, Duo
228
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
Codimension 2 symmetric homoclinic bifurcations and application to 1:2 resonance. Zbl 0714.58039
Li, Chengzhi; Rousseau, Christiane
13
1990
A simple proof for the unicity of the limit cycle in the Bogdanov-Takens system. Zbl 0706.34026
Li, Chengzhi; Rousseau, Christiane; Wang, Xian
5
1990
Degenerate Hopf bifurcation formulas and Hilbert’s 16th problem. Zbl 0682.58035
Farr, W. W.; Li, Chengzhi; Labouriau, I. S.; Langford, W. F.
59
1989
A system with three limit cycles appearing in a Hopf bifurcation and dying in a homoclinic bifurcation: The cusp of order 4. Zbl 0684.34048
Li, Chengzhi; Rousseau, Christine
35
1989
Uniqueness of periodic orbits of some vector fields with codimension two singularities. Zbl 0686.34040
Chow, Shuinee; Li, Chengzhi; Wang, Duo
9
1989
A simple proof of the uniqueness of periodic orbits in the 1:3 resonance problem. Zbl 0691.58028
Chow, Shiu-Nee; Li, Chengzhi; Wang, Duo
3
1989
Non-existence of limit cycle around a weak focus of order three for any quadratic system. Zbl 0603.34021
Li, Chengzhi
9
1986
On planar quadratic systems possessing two centres. Zbl 0581.34025
Li, Chengzhi
9
1985
Two problems of planar quadratic systems. Zbl 0534.34033
Li, Chengzhi
17
1983
Existence in the large for certain systems of quasilinear hyperbolic conservation laws. Zbl 0454.35058
Li, C. Z.
3
1982
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Cited by 964 Authors

86 Llibre, Jaume
71 Han, Maoan
38 Yu, Pei
34 Zhang, Xiang
32 Giné, Jaume
31 Gasull, Armengol
29 Li, Chengzhi
29 Zhao, Yulin
27 Chen, Hebai
26 Liu, Changjian
22 Torregrosa, Joan
21 Sun, Xianbo
20 Algaba, Antonio
19 Valls Anglés, Cláudia
19 Xiao, Dongmei
18 Huang, Jicai
18 Zhao, Liqin
17 Yang, Junmin
14 Dumortier, Freddy
14 Gavrilov, Lubomir
14 Wu, Yusen
14 Xiong, Yanqin
14 Yang, Jihua
14 Yu, Jiang
14 Zhang, Weinian
13 Li, Shimin
13 Liang, Haihua
13 Prohens, Rafel
12 Chen, Xingwu
12 Huang, Wentao
12 Li, Feng
12 Liu, Yirong
12 Tian, Yun
11 Asheghi, Rasoul
11 Huang, Jianfeng
11 Romanovskiĭ, Valeriĭ Georgievich
11 Tang, Yilei
10 Li, Jibin
10 Rodríguez-Luis, Alejandro J.
10 Zangeneh, Hamid R. Z.
9 García, Cristóbal
9 Huzak, Renato
9 Peng, Linping
9 Ruan, Shigui
8 Iliev, Iliya Dimov
8 Kazemi, Rasool
8 Oliveira, Regilene D. S.
8 Wu, Kuilin
8 Zhang, Tonghua
8 Zhu, Huaiping
7 Cen, Xiuli
7 Coll, Bartomeu
7 García, Isaac A.
7 Huang, Bo
7 Qin, Bo-Wei
7 Wang, Jihua
7 Xia, Yonghui
7 Yang, Jiazhong
7 Yumagulov, Marat Gayazovich
7 Zang, Hong
7 Zhang, Wei
7 Zhang, Zhifen
6 Artés, Joan Carles
6 Bakhshalizadeh, Ali
6 Ben Hamed, Bassem
6 Chen, Fengde
6 Christopher, Colin J.
6 Chung, Kwok-Wai
6 Du, Zengji
6 Guo, Laigang
6 Jiang, Fangfang
6 Li, Weigu
6 Lu, Min
6 Mañosas, Francesc
6 Wang, Hao
6 Wang, Zhaoxia
5 Alvarez, María Jesus
5 Boukoucha, Rachid
5 Chen, Aiyong
5 Chen, Yufu
5 De Maesschalck, Peter
5 Feng, Zhaosheng
5 Françoise, Jean-Pierre
5 Giacomini, Hector J.
5 Johnson, Tomas
5 Kooij, Robert E.
5 Li, Cuiping
5 Li, Jianquan
5 Li, Tao
5 Merino, Manuel
5 Novaes, Douglas Duarte
5 Qiao, Yuanhua
5 Ren, Zhihua
5 Shen, Jianhe
5 Sheng, Lijuan
5 Sui, Shiyou
5 Teixeira, Marco Antonio
5 Tucker, Warwick
5 Wang, Qinlong
5 Wei, Minzhi
...and 864 more Authors
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Cited in 170 Serials

134 Journal of Differential Equations
114 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
69 Journal of Mathematical Analysis and Applications
58 Qualitative Theory of Dynamical Systems
35 Nonlinear Dynamics
26 Chaos, Solitons and Fractals
25 Applied Mathematics and Computation
24 Journal of Dynamics and Differential Equations
23 Bulletin des Sciences Mathématiques
23 Discrete and Continuous Dynamical Systems. Series B
22 Nonlinear Analysis. Real World Applications
21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
19 Journal of Applied Analysis and Computation
18 Communications in Nonlinear Science and Numerical Simulation
17 Applied Mathematics Letters
17 Advances in Difference Equations
15 Physica D
11 Dynamical Systems
10 Acta Mathematica Sinica. English Series
10 Communications on Pure and Applied Analysis
10 SIAM Journal on Applied Dynamical Systems
9 Discrete Dynamics in Nature and Society
8 Mathematics and Computers in Simulation
8 Transactions of the American Mathematical Society
8 Discrete and Continuous Dynamical Systems
8 Discrete and Continuous Dynamical Systems. Series S
7 Journal of Mathematical Biology
7 Nonlinearity
7 Rocky Mountain Journal of Mathematics
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Differential Equations
6 Journal of Computational and Applied Mathematics
6 Journal of Nonlinear Science
6 Mediterranean Journal of Mathematics
6 Science China. Mathematics
5 Computers & Mathematics with Applications
5 Acta Mathematicae Applicatae Sinica. English Series
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Abstract and Applied Analysis
5 International Journal of Biomathematics
4 Journal of Mathematical Sciences (New York)
4 Complexity
4 Journal of Difference Equations and Applications
4 Lobachevskii Journal of Mathematics
3 Bulletin of Mathematical Biology
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Proceedings of the American Mathematical Society
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Chinese Annals of Mathematics. Series B
3 Acta Applicandae Mathematicae
3 Journal of Symbolic Computation
3 Automation and Remote Control
3 SIAM Journal on Mathematical Analysis
3 Electronic Journal of Differential Equations (EJDE)
3 Regular and Chaotic Dynamics
3 Acta Mathematica Scientia. Series B. (English Edition)
3 Mathematical Biosciences and Engineering
3 Journal of Function Spaces
3 Nonlinear Analysis. Theory, Methods & Applications
2 Applicable Analysis
2 Communications in Mathematical Physics
2 Mathematical Methods in the Applied Sciences
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Advances in Mathematics
2 Functional Analysis and its Applications
2 Inventiones Mathematicae
2 Journal of Functional Analysis
2 Results in Mathematics
2 Ergodic Theory and Dynamical Systems
2 Applied Mathematics and Mechanics. (English Edition)
2 Mathematical and Computer Modelling
2 Science in China. Series A
2 Applied Mathematical Modelling
2 Bulletin of the American Mathematical Society. New Series
2 Expositiones Mathematicae
2 Russian Mathematics
2 NoDEA. Nonlinear Differential Equations and Applications
2 Differential Equations and Dynamical Systems
2 Journal of Dynamical and Control Systems
2 Communications in Contemporary Mathematics
2 Journal of Biological Systems
2 Journal of Nonlinear Mathematical Physics
2 Mathematical Modelling and Analysis
2 Journal of the Australian Mathematical Society
2 Journal of Applied Mathematics and Computing
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Journal of Biological Dynamics
2 Nonlinear Analysis. Hybrid Systems
2 Open Mathematics
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Bulletin of the Australian Mathematical Society
1 Israel Journal of Mathematics
1 Journal of Engineering Mathematics
1 Journal of Mathematical Physics
1 Mathematical Biosciences
1 Metrika
1 Physics Letters. A
1 Wave Motion
1 Archiv der Mathematik
1 Archivum Mathematicum
...and 70 more Serials
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Cited in 37 Fields

905 Ordinary differential equations (34-XX)
364 Dynamical systems and ergodic theory (37-XX)
165 Biology and other natural sciences (92-XX)
55 Partial differential equations (35-XX)
22 Mechanics of particles and systems (70-XX)
17 Difference and functional equations (39-XX)
12 Numerical analysis (65-XX)
10 Operator theory (47-XX)
10 Computer science (68-XX)
9 Algebraic geometry (14-XX)
7 Fluid mechanics (76-XX)
7 Systems theory; control (93-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Probability theory and stochastic processes (60-XX)
5 Mechanics of deformable solids (74-XX)
4 Commutative algebra (13-XX)
4 Approximations and expansions (41-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Real functions (26-XX)
3 Functions of a complex variable (30-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Special functions (33-XX)
3 Integral equations (45-XX)
2 General and overarching topics; collections (00-XX)
2 Nonassociative rings and algebras (17-XX)
2 Measure and integration (28-XX)
2 Manifolds and cell complexes (57-XX)
2 Statistics (62-XX)
2 Quantum theory (81-XX)
2 Information and communication theory, circuits (94-XX)
1 Number theory (11-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 Optics, electromagnetic theory (78-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Relativity and gravitational theory (83-XX)
1 Operations research, mathematical programming (90-XX)

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