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## Li, Chengzhi

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 Author ID: li.chengzhi Published as: Li, Chengzhi; Li, C.; Li, C. Z.; Li, C.-Z.
 Documents Indexed: 103 Publications since 1982, including 4 Books
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#### Co-Authors

 9 single-authored 15 Llibre, Jaume 15 Zhang, Zhifen 10 Dumortier, Freddy 10 Li, Weigu 6 Chow, Shuinee 5 Gasull, Armengol 5 Wang, Duo 4 Liu, Changjian 4 Yu, Jiang 3 Iliev, Iliya Dimov 3 Ma, Zhien 3 Rousseau, Christiane 3 Torregrosa, Joan 2 Chen, Guoting 2 Li, Jianquan 2 Lu, Kening 2 Roussarie, Robert 2 Yang, Jiazhong 2 Zhang, Zenghua 2 Zhao, Yulin 1 Abart, R. 1 Bettati, Riccardo 1 Chen, Fengde 1 Chen, Long 1 Cheng, Minhua 1 Choi, Byung-Kyu 1 Chow, Shiu-Nee 1 Christopher, Colin J. 1 Coates, Graham 1 Coll, Bartomeu 1 Dai, Huaiyu 1 Darvish, Vahid 1 Fackrell, Mark 1 Farr, William W. 1 Fiddelaers, Peter 1 Götze, L. C. 1 Guillamon, Antoni 1 Habler, G. 1 He, Yue 1 Hu, Weimin 1 Jeřábek, P. 1 Kanodia, Vikram 1 Knightly, Andrew H. 1 Knightly, Edward W. 1 Kooij, Robert E. 1 Labouriau, Isabel S. 1 Langford, William F. 1 Liew, Kim Meow 1 Liu, Zhihui 1 Ma, Xianzhong 1 Mangler, C. 1 Mardešić, Pavao 1 Meguid, Shaker A. 1 Mendoza Benavides, S. M. 1 Ning, Peng 1 Nouri, Mojtaba 1 Pennycook, T. J. 1 Prohens, Rafel 1 Razeghi, Mehran 1 Rečnik, A. 1 Ren, Zhihua 1 Sabharwal, Ashutosh 1 Sadeghi, Bahareh 1 Staicu, Ana-Maria 1 Taghavi Jelodar, Ali 1 Taylor, Peter Gerrard 1 Tong, Linghui 1 van Heugten, E. 1 Wang, Xian 1 Wen, Lan 1 Xu, Guanshui 1 Xuan, Dong 1 Yi, Yingfei 1 Zhang, Gemeng 1 Zhang, Jisheng 1 Zhang, Jordan Zheng 1 Zhang, Zenghau 1 Zhao, Wei 1 Zhou, Yicang 1 Zhu, Huaiping 1 Zhu, Huanping
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#### Serials

 25 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 Physics Letters. A 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Publicacions Matemàtiques 2 Applied Mathematical Modelling 2 Journal of Dynamics and Differential Equations 2 Discrete and Continuous Dynamical Systems 2 Journal of Applied Analysis and Computation 1 Archives of Mechanics 1 International Journal for Numerical Methods in Fluids 1 International Journal of Solids and Structures 1 Journal of Applied Mechanics 1 Ukrainian Mathematical Journal 1 Acta Mathematica Sinica 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Memoirs of the American Mathematical Society 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 Acta Mathematica Hungarica 1 Advances in Mathematics 1 Bulletin of the Iranian Mathematical Society 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 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 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 The ANZIAM Journal 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Quantum Information & Computation 1 Acta Crystallographica. Section A 1 Journal of Probability and Statistics 1 Advanced Courses in Mathematics – CRM Barcelona
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#### Fields

 74 Ordinary differential equations (34-XX) 44 Dynamical systems and ergodic theory (37-XX) 6 Mechanics of deformable solids (74-XX) 6 Biology and other natural sciences (92-XX) 4 Operator theory (47-XX) 4 Computer science (68-XX) 3 Functional analysis (46-XX) 3 Quantum theory (81-XX) 3 Systems theory; control (93-XX) 2 Number theory (11-XX) 2 Partial differential equations (35-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

79 Publications have been cited 1,413 times in 761 Documents Cited by Year
Normal forms and bifurcation of planar vector fields. Zbl 0804.34041
Chow, Shui-Nee; Li, Chengzhi; Wang, Duo
1994
Perturbation from an elliptic Hamiltonian of degree four. IV: Figure eight-loop. Zbl 1057.34015
Dumortier, Freddy; Li, Chengzhi
2003
Perturbations from an elliptic Hamiltonian of degree four. I: Saddle loop and two saddle cycles. Zbl 1004.34018
Dumortier, Freddy; Li, Chengzhi
2001
A cubic system with thirteen limit cycles. Zbl 1176.34037
Li, Chengzhi; Liu, Changjian; Yang, Jiazhong
2009
Perturbations from an elliptic Hamiltonian of degree four. II: Cuspidal loop. Zbl 1034.34036
Dumortier, Freddy; Li, Chengzhi
2001
A criterion for determining the monotonicity of the ratio of two Abelian integrals. Zbl 0849.34022
Li, Chengzhi; Zhang, Zhifen
1996
Degenerate Hopf bifurcation formulas and Hilbert’s 16th problem. Zbl 0682.58035
Farr, W. W.; Li, Chengzhi; Labouriau, I. S.; Langford, W. F.
1989
Limit cycles of differential equations. Zbl 1359.34001
Christopher, Colin; Li, Chengzhi
2007
Perturbation from an elliptic Hamiltonian of degree four. III: global centre. Zbl 1056.34044
Dumortier, Freddy; Li, Chengzhi
2003
Uniqueness of limit cycles for Liénard differential equations of degree four. Zbl 1248.34035
Li, Chengzhi; Llibre, Jaume
2012
Canard cycles for predator-prey systems with Holling types of functional response. Zbl 1257.34035
Li, Chengzhi; Zhu, Huaiping
2013
A unified proof of the weakened Hilbert 16th problem for $$n=2$$. Zbl 1098.34024
Chen, Fengde; Li, Chengzhi; Llibre, Jaume; Zhang, Zenghua
2006
Unfolding of a quadratic integrable system with two centers and two unbounded heteroclinic loops. Zbl 0883.34035
Dumortier, Freddy; Li, Chengzhi; Zhang, Zifen
1997
On the uniqueness of limit cycles surrounding one or more singularities for Liénard equations. Zbl 0907.58056
Dumortier, Freddy; Li, Chengzhi
1996
Dumortier, Freddy; Li, Chengzhi
1997
Integrability and linearizability of the Lotka-Volterra systems. Zbl 1046.34075
Liu, Changjian; Chen, Guoting; Li, Chengzhi
2004
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
1989
Weak focus, limit cycles, and bifurcations for bounded quadratic systems. Zbl 0823.34043
Li, Chengzhi; Llibre, Jaume; Zhang, Zhifen
1995
Abelian integrals and limit cycles. Zbl 1270.34004
Li, Chengzhi
2012
Remarks on 16th weak Hilbert problem for $$n=2$$. Zbl 1219.34042
Li, Chengzhi; Zhang, Zenghau
2002
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
2000
The cyclicity of period annuli of degenerate quadratic Hamiltonian systems with elliptic segment loops. Zbl 1094.34020
Chow, Shui-Nee; Li, Chengzhi; Yi, Yingfei
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
2005
Kuznetsov’s trace formula and the Hecke eigenvalues of Maass forms. Zbl 1314.11038
Knightly, A.; Li, C.
2013
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
2012
Two problems of planar quadratic systems. Zbl 0534.34033
Li, Chengzhi
1983
Polynomial systems: a lower bound for the weakened 16th Hilbert problem. Zbl 1125.34317
Li, Chengzhi; Li, Weigu; Llibre, Jaume; Zhang, Zhifen
2001
Abelian integrals for quadratic centres having almost all their orbits formed by quartics. Zbl 1038.37016
Li, Weigu; Zhao, Yulin; Li, Chengzhi; Zhang, Zhifen
2002
Quadratic perturbations of a class of quadratic reversible systems with two centers. Zbl 1181.34041
Coll, Bartomeu; Li, Chengzhi; Prohens, Rafel
2009
The cyclicity of period annuli of some classes of reversible quadratic systems. Zbl 1119.34028
Chen, Guoting; Li, C.; Llibre, J.; Liu, C.
2006
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
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
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
2002
The cyclicity of period annulus of a quadratic reversible Lotka-Volterra system. Zbl 1193.34062
Li, Chengzhi; Llibre, Jaume
2009
A new Chebyshev family with applications to Abel equations. Zbl 1233.41003
Gasull, Armengol; Li, Chengzhi; Torregrosa, Joan
2012
On the limit cycles of polynomial differential systems with homogeneous nonlinearities. Zbl 0974.34029
Li, Chengzhi; Li, Weigu; Llibre, Jaume; Zhang, Zhifen
2000
Codimension 2 symmetric homoclinic bifurcations and application to 1:2 resonance. Zbl 0714.58039
Li, Chengzhi; Rousseau, Christiane
1990
Codimension 3 B-T bifurcations in an epidemic model with a nonlinear incidence. Zbl 1317.34168
Li, Chengzhi; Li, Jianquan; Ma, Zhien
2015
On the number of limit cycles of a class of quadratic Hamiltonian systems under quadratic perturbations. Zbl 0948.34020
Zhang, Zhifen; Li, Chengzhi
1997
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
2010
Perturbations of symmetric elliptic Hamiltonians of degree four. Zbl 1105.37034
Li, Chengzhi; Mardešić, Pavao; Roussarie, Robert
2006
The period function of hyperelliptic Hamiltonians of degree 5 with real critical points. Zbl 1142.34016
Li, Chengzhi; Lu, Kening
2008
Non-existence of limit cycle around a weak focus of order three for any quadratic system. Zbl 0603.34021
Li, Chengzhi
1986
A unified study on the cyclicity of period annulus of the reversible quadratic Hamiltonian systems. Zbl 1077.34036
Li, Chengzhi; Llibre, Jaume
2004
Uniqueness of periodic orbits of some vector fields with codimension two singularities. Zbl 0686.34040
Chow, Shuinee; Li, Chengzhi; Wang, Duo
1989
Abelian integrals of quadratic Hamiltonian vector fields with an invariant straight line. Zbl 0856.58033
Li, Chengzhi; Llibre, Jaume; Zhang, Zhifen
1995
On the number of limit cycles arising from perturbations of homoclinic loops of quadratic integrable systems. Zbl 0898.34025
He, Yue; Li, Chengzhi
1997
Periodic orbits in 3-dimensional systems and application to a perturbed Volterra system. Zbl 1382.34033
Li, Chengzhi; Ma, Zhien; Zhou, Yicang
2016
Dumortier, Freddy; Kooij, Robert E.; Li, Chengzhi
2000
Generic unfolding of the nilpotent saddle of codimension four. Zbl 1198.37081
Dumortier, Freddy; Fiddelaers, Peter; Li, Chengzhi
2001
$${\mathcal X}^*$$ plus axiom A does non imply no-cycle. Zbl 0831.58042
Li, Chengzhi; Wen, Lan
1995
Torsional impact response of a penny-shaped interface crack in bonded materials with a graded material interlayer. Zbl 1110.74552
Li, C.; Duan, Z.; Zou, Z.
2002
Li, Chengzhi; Llibre, Jaume
2010
On planar quadratic systems possessing two centres. Zbl 0581.34025
Li, Chengzhi
1985
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
2003
On the number of limit cycles bifurcating from a non-global degenerated center. Zbl 1116.34029
Gasull, Armengol; Li, Chengzhi; Liu, Changjian
2007
Canard phenomenon for an SIS epidemic model with nonlinear incidence. Zbl 1303.34040
Li, Chengzhi; Li, Jianquan; Ma, Zhien; Zhu, Huanping
2014
Slow divergence integral and its application to classical Liénard equations of degree 5. Zbl 1312.34073
Li, Chengzhi; Lu, Kening
2014
Cyclicity of several quadratic reversible systems with center of genus one. Zbl 1304.34059
Chen, Long; Ma, Xianzhong; Zhang, Gemeng; Li, Chengzhi
2011
The cyclicity of the elliptic segment loops of the reversible quadratic Hamiltonian systems under quadratic perturbations. Zbl 1071.34032
Li, Chengzhi; Roussarie, Robert
2004
Limit cycles for 3-monomial differential equations. Zbl 1323.34037
Gasull, Armengol; Li, Chengzhi; Torregrosa, Joan
2015
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
2001
A simple proof for the unicity of the limit cycle in the Bogdanov-Takens system. Zbl 0706.34026
Li, Chengzhi; Rousseau, Christiane; Wang, Xian
1990
Nonlinear maps preserving product $$X^{*}Y+Y^{*}X$$ on von Neumann algebras. Zbl 07040690
Li, C.; Zhao, F.; Chen, Q.
2018
Transverse free vibration and stability of axially moving nanoplates based on nonlocal elasticity theory. Zbl 1446.74028
Liu, J. J.; Li, C.; Fan, X. L.; Tong, L. H.
2017
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
1989
Dissipative dynamics of two-photon Jaynes-Cummings model with the Stark shift in the dispersive approximation. Zbl 0983.81535
Zhou, L.; Song, H. S.; Luo, Y. X.; Li, C.
2001
On the nano-structural dependence of nonlocal dynamics and its relationship to the upper limit of nonlocal scale parameter. Zbl 1461.74009
Li, C.; Lai, S. K.; Yang, X.
2019
Study of perturbed Lotka-Volterra systems via Abelian integrals. Zbl 0854.34034
Gasull, A.; Guillamon, A.; Li, Chengzhi; Zhang, Zhifen
1996
Existence in the large for certain systems of quasilinear hyperbolic conservation laws. Zbl 0454.35058
Li, C. Z.
1982
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.
2011
Normal forms and bifurcation of planar vector fields. Reprint of the 1994 hardback ed. Zbl 1156.34028
Chow, Shui-Nee; Li, Chengzhi; Wang, Duo
2009
Moduli-free normal forms and linearization of vector fields. Zbl 1117.37026
Li, Chengzhi; Ren, Zhihua; Yang, Jiazhong
2006
Cubic homogeneous polynomial centers. Zbl 1321.34048
Li, Chengzhi; Llibre, Jaume
2014
Communication efficiency of anti-jamming broadcast in large-scale multi-channel wireless networks. Zbl 1393.94845
Li, Chengzhi; Dai, Huaiyu; Xiao, Liang; Ning, Peng
2012
Distributed priority scheduling and medium access in ad hoc networks. Zbl 1030.68721
Kanodia, Vikram; Li, Chengzhi; Sabharwal, Ashutosh; Sadeghi, Bahareh; Knightly, Edward
2002
On the cubic perturbations of the symmetric 8-loop Hamiltonian. Zbl 1443.34040
Iliev, Iliya D.; Li, Chengzhi; Yu, Jiang
2020
Three-dimensional numerical simulation of compound meandering open channel flow by the Reynolds stress model. Zbl 1156.76037
Jing, H.; Guo, Y.; Li, C.; Zhang, Jisheng
2009
Three-dimensional analysis of the coupled thermo-piezoelectro-mechanical behaviour of multilayered plates using the differential quadrature technique. Zbl 1120.74601
Liew, K. M.; Zhang, Jordan Z.; Li, C.; Meguid, S. A.
2005
On the cubic perturbations of the symmetric 8-loop Hamiltonian. Zbl 1443.34040
Iliev, Iliya D.; Li, Chengzhi; Yu, Jiang
2020
On the nano-structural dependence of nonlocal dynamics and its relationship to the upper limit of nonlocal scale parameter. Zbl 1461.74009
Li, C.; Lai, S. K.; Yang, X.
2019
Nonlinear maps preserving product $$X^{*}Y+Y^{*}X$$ on von Neumann algebras. Zbl 07040690
Li, C.; Zhao, F.; Chen, Q.
2018
Transverse free vibration and stability of axially moving nanoplates based on nonlocal elasticity theory. Zbl 1446.74028
Liu, J. J.; Li, C.; Fan, X. L.; Tong, L. H.
2017
Periodic orbits in 3-dimensional systems and application to a perturbed Volterra system. Zbl 1382.34033
Li, Chengzhi; Ma, Zhien; Zhou, Yicang
2016
Codimension 3 B-T bifurcations in an epidemic model with a nonlinear incidence. Zbl 1317.34168
Li, Chengzhi; Li, Jianquan; Ma, Zhien
2015
Limit cycles for 3-monomial differential equations. Zbl 1323.34037
Gasull, Armengol; Li, Chengzhi; Torregrosa, Joan
2015
Canard phenomenon for an SIS epidemic model with nonlinear incidence. Zbl 1303.34040
Li, Chengzhi; Li, Jianquan; Ma, Zhien; Zhu, Huanping
2014
Slow divergence integral and its application to classical Liénard equations of degree 5. Zbl 1312.34073
Li, Chengzhi; Lu, Kening
2014
Cubic homogeneous polynomial centers. Zbl 1321.34048
Li, Chengzhi; Llibre, Jaume
2014
Canard cycles for predator-prey systems with Holling types of functional response. Zbl 1257.34035
Li, Chengzhi; Zhu, Huaiping
2013
Kuznetsov’s trace formula and the Hecke eigenvalues of Maass forms. Zbl 1314.11038
Knightly, A.; Li, C.
2013
Uniqueness of limit cycles for Liénard differential equations of degree four. Zbl 1248.34035
Li, Chengzhi; Llibre, Jaume
2012
Abelian integrals and limit cycles. Zbl 1270.34004
Li, Chengzhi
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
2012
A new Chebyshev family with applications to Abel equations. Zbl 1233.41003
Gasull, Armengol; Li, Chengzhi; Torregrosa, Joan
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
2012
Cyclicity of several quadratic reversible systems with center of genus one. Zbl 1304.34059
Chen, Long; Ma, Xianzhong; Zhang, Gemeng; Li, Chengzhi
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.
2011
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
2010
Li, Chengzhi; Llibre, Jaume
2010
A cubic system with thirteen limit cycles. Zbl 1176.34037
Li, Chengzhi; Liu, Changjian; Yang, Jiazhong
2009
Quadratic perturbations of a class of quadratic reversible systems with two centers. Zbl 1181.34041
Coll, Bartomeu; Li, Chengzhi; Prohens, Rafel
2009
The cyclicity of period annulus of a quadratic reversible Lotka-Volterra system. Zbl 1193.34062
Li, Chengzhi; Llibre, Jaume
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
2009
Three-dimensional numerical simulation of compound meandering open channel flow by the Reynolds stress model. Zbl 1156.76037
Jing, H.; Guo, Y.; Li, C.; Zhang, Jisheng
2009
The period function of hyperelliptic Hamiltonians of degree 5 with real critical points. Zbl 1142.34016
Li, Chengzhi; Lu, Kening
2008
Limit cycles of differential equations. Zbl 1359.34001
Christopher, Colin; Li, Chengzhi
2007
On the number of limit cycles bifurcating from a non-global degenerated center. Zbl 1116.34029
Gasull, Armengol; Li, Chengzhi; Liu, Changjian
2007
A unified proof of the weakened Hilbert 16th problem for $$n=2$$. Zbl 1098.34024
Chen, Fengde; Li, Chengzhi; Llibre, Jaume; Zhang, Zenghua
2006
The cyclicity of period annuli of some classes of reversible quadratic systems. Zbl 1119.34028
Chen, Guoting; Li, C.; Llibre, J.; Liu, C.
2006
Perturbations of symmetric elliptic Hamiltonians of degree four. Zbl 1105.37034
Li, Chengzhi; Mardešić, Pavao; Roussarie, Robert
2006
Moduli-free normal forms and linearization of vector fields. Zbl 1117.37026
Li, Chengzhi; Ren, Zhihua; Yang, Jiazhong
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
2005
Three-dimensional analysis of the coupled thermo-piezoelectro-mechanical behaviour of multilayered plates using the differential quadrature technique. Zbl 1120.74601
Liew, K. M.; Zhang, Jordan Z.; Li, C.; Meguid, S. A.
2005
Integrability and linearizability of the Lotka-Volterra systems. Zbl 1046.34075
Liu, Changjian; Chen, Guoting; Li, Chengzhi
2004
A unified study on the cyclicity of period annulus of the reversible quadratic Hamiltonian systems. Zbl 1077.34036
Li, Chengzhi; Llibre, Jaume
2004
The cyclicity of the elliptic segment loops of the reversible quadratic Hamiltonian systems under quadratic perturbations. Zbl 1071.34032
Li, Chengzhi; Roussarie, Robert
2004
Perturbation from an elliptic Hamiltonian of degree four. IV: Figure eight-loop. Zbl 1057.34015
Dumortier, Freddy; Li, Chengzhi
2003
Perturbation from an elliptic Hamiltonian of degree four. III: global centre. Zbl 1056.34044
Dumortier, Freddy; Li, Chengzhi
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
2003
Remarks on 16th weak Hilbert problem for $$n=2$$. Zbl 1219.34042
Li, Chengzhi; Zhang, Zenghau
2002
The cyclicity of period annuli of degenerate quadratic Hamiltonian systems with elliptic segment loops. Zbl 1094.34020
Chow, Shui-Nee; Li, Chengzhi; Yi, Yingfei
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
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
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
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
2002
Torsional impact response of a penny-shaped interface crack in bonded materials with a graded material interlayer. Zbl 1110.74552
Li, C.; Duan, Z.; Zou, Z.
2002
Distributed priority scheduling and medium access in ad hoc networks. Zbl 1030.68721
Kanodia, Vikram; Li, Chengzhi; Sabharwal, Ashutosh; Sadeghi, Bahareh; Knightly, Edward
2002
Perturbations from an elliptic Hamiltonian of degree four. I: Saddle loop and two saddle cycles. Zbl 1004.34018
Dumortier, Freddy; Li, Chengzhi
2001
Perturbations from an elliptic Hamiltonian of degree four. II: Cuspidal loop. Zbl 1034.34036
Dumortier, Freddy; Li, Chengzhi
2001
Polynomial systems: a lower bound for the weakened 16th Hilbert problem. Zbl 1125.34317
Li, Chengzhi; Li, Weigu; Llibre, Jaume; Zhang, Zhifen
2001
Generic unfolding of the nilpotent saddle of codimension four. Zbl 1198.37081
Dumortier, Freddy; Fiddelaers, Peter; Li, Chengzhi
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
2001
Dissipative dynamics of two-photon Jaynes-Cummings model with the Stark shift in the dispersive approximation. Zbl 0983.81535
Zhou, L.; Song, H. S.; Luo, Y. X.; Li, C.
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
2000
On the limit cycles of polynomial differential systems with homogeneous nonlinearities. Zbl 0974.34029
Li, Chengzhi; Li, Weigu; Llibre, Jaume; Zhang, Zhifen
2000
Dumortier, Freddy; Kooij, Robert E.; Li, Chengzhi
2000
Unfolding of a quadratic integrable system with two centers and two unbounded heteroclinic loops. Zbl 0883.34035
Dumortier, Freddy; Li, Chengzhi; Zhang, Zifen
1997
Dumortier, Freddy; Li, Chengzhi
1997
On the number of limit cycles of a class of quadratic Hamiltonian systems under quadratic perturbations. Zbl 0948.34020
Zhang, Zhifen; Li, Chengzhi
1997
On the number of limit cycles arising from perturbations of homoclinic loops of quadratic integrable systems. Zbl 0898.34025
He, Yue; Li, Chengzhi
1997
A criterion for determining the monotonicity of the ratio of two Abelian integrals. Zbl 0849.34022
Li, Chengzhi; Zhang, Zhifen
1996
On the uniqueness of limit cycles surrounding one or more singularities for Liénard equations. Zbl 0907.58056
Dumortier, Freddy; Li, Chengzhi
1996
Study of perturbed Lotka-Volterra systems via Abelian integrals. Zbl 0854.34034
Gasull, A.; Guillamon, A.; Li, Chengzhi; Zhang, Zhifen
1996
Weak focus, limit cycles, and bifurcations for bounded quadratic systems. Zbl 0823.34043
Li, Chengzhi; Llibre, Jaume; Zhang, Zhifen
1995
Abelian integrals of quadratic Hamiltonian vector fields with an invariant straight line. Zbl 0856.58033
Li, Chengzhi; Llibre, Jaume; Zhang, Zhifen
1995
$${\mathcal X}^*$$ plus axiom A does non imply no-cycle. Zbl 0831.58042
Li, Chengzhi; Wen, Lan
1995
Normal forms and bifurcation of planar vector fields. Zbl 0804.34041
Chow, Shui-Nee; Li, Chengzhi; Wang, Duo
1994
Codimension 2 symmetric homoclinic bifurcations and application to 1:2 resonance. Zbl 0714.58039
Li, Chengzhi; Rousseau, Christiane
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
1990
Degenerate Hopf bifurcation formulas and Hilbert’s 16th problem. Zbl 0682.58035
Farr, W. W.; Li, Chengzhi; Labouriau, I. S.; Langford, W. F.
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
1989
Uniqueness of periodic orbits of some vector fields with codimension two singularities. Zbl 0686.34040
Chow, Shuinee; Li, Chengzhi; Wang, Duo
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
1989
Non-existence of limit cycle around a weak focus of order three for any quadratic system. Zbl 0603.34021
Li, Chengzhi
1986
On planar quadratic systems possessing two centres. Zbl 0581.34025
Li, Chengzhi
1985
Two problems of planar quadratic systems. Zbl 0534.34033
Li, Chengzhi
1983
Existence in the large for certain systems of quasilinear hyperbolic conservation laws. Zbl 0454.35058
Li, C. Z.
1982
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#### Cited by 711 Authors

 68 Llibre, Jaume 59 Han, Maoan 31 Yu, Pei 28 Zhao, Yulin 27 Giné, Jaume 27 Li, Chengzhi 26 Gasull, Armengol 24 Zhang, Xiang 19 Sun, Xianbo 18 Torregrosa, Joan 17 Liu, Changjian 16 Valls Anglés, Cláudia 15 Chen, Hebai 15 Xiao, Dongmei 15 Zhao, Liqin 14 Algaba, Antonio 14 Yang, Junmin 13 Dumortier, Freddy 13 Xiong, Yanqin 11 Gavrilov, Lubomir 11 Li, Shimin 11 Liang, Haihua 11 Liu, Yirong 11 Prohens, Rafel 11 Wu, Yusen 11 Yang, Jihua 10 Asheghi, Rasoul 10 Romanovski, Valery G. 10 Zangeneh, Hamid R. Z. 9 Huang, Jianfeng 9 Yu, Jiang 8 Chen, Xingwu 8 García, Cristóbal 8 Huang, Wentao 8 Li, Feng 8 Li, Jibin 8 Peng, Linping 8 Wu, Kuilin 8 Zhang, Tonghua 8 Zhang, Weinian 7 Huang, Jicai 7 Iliev, Iliya Dimov 7 Oliveira, Regilene D. S. 7 Ruan, Shigui 7 Tian, Yun 7 Zang, Hong 7 Zhang, Zhifen 6 Bakhshalizadeh, Ali 6 Coll, Bartomeu 6 Huzak, Renato 6 Li, Weigu 6 Mañosas, Francesc 6 Wang, Jihua 6 Xia, Yonghui 6 Yang, Jiazhong 5 Cen, Xiuli 5 Chen, Yufu 5 De Maesschalck, Peter 5 Guo, Laigang 5 Jiang, Fangfang 5 Johnson, Tomas 5 Kazemi, Rasool 5 Kooij, Robert E. 5 Li, Cuiping 5 Li, Jianquan 5 Rodríguez-Luis, Alejandro J. 5 Sui, Shiyou 5 Wu, Xiaoqin P. 5 Zhang, Wei 5 Zhu, Huaiping 4 Alvarez, María Jesus 4 Artés, Joan Carles 4 Atabaigi, Ali 4 Ben Hamed, Bassem 4 Chen, Guanrong 4 Christopher, Colin J. 4 Chung, Kwok-Wai 4 Du, Zengji 4 Feng, Zhaosheng 4 Georgiev, Zhivko Dimitrov 4 Giacomini, Hector J. 4 Li, Hongwei 4 Liu, Qian 4 Mañosa, Víctor 4 Mereu, Ana Cristina 4 Qin, Bo-Wei 4 Sun, Ji Tao 4 Tang, Yilei 4 Tucker, Warwick 4 Villadelprat, Jordi 4 Wang, Liancheng 4 Wang, Qinlong 4 Wei, Minzhi 4 Wu, Yuhai 4 Yumagulov, Marat Gayazovich 4 Zegeling, André 4 Zhou, Yuqian 4 Zhu, Hongying 3 Boukoucha, Rachid 3 Buzzi, Claudio Aguinaldo ...and 611 more Authors
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#### Cited in 139 Serials

 102 Journal of Differential Equations 95 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 61 Journal of Mathematical Analysis and Applications 38 Qualitative Theory of Dynamical Systems 29 Nonlinear Dynamics 23 Chaos, Solitons and Fractals 22 Bulletin des Sciences Mathématiques 21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Applied Mathematics and Computation 17 Nonlinear Analysis. Real World Applications 15 Journal of Dynamics and Differential Equations 15 Discrete and Continuous Dynamical Systems. Series B 13 Applied Mathematics Letters 12 Advances in Difference Equations 12 Journal of Applied Analysis and Computation 9 Acta Mathematica Sinica. English Series 9 Dynamical Systems 9 SIAM Journal on Applied Dynamical Systems 8 Discrete Dynamics in Nature and Society 7 Rocky Mountain Journal of Mathematics 6 Journal of Computational and Applied Mathematics 6 Transactions of the American Mathematical Society 6 Physica D 6 Discrete and Continuous Dynamical Systems 6 Differential Equations 6 Communications on Pure and Applied Analysis 5 Computers & Mathematics with Applications 5 Nonlinearity 5 Acta Mathematicae Applicatae Sinica. English Series 5 Journal of Nonlinear Science 5 Abstract and Applied Analysis 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Communications in Nonlinear Science and Numerical Simulation 4 Mediterranean Journal of Mathematics 4 Science China. Mathematics 3 Journal of Mathematical Biology 3 Chinese Annals of Mathematics. Series B 3 Acta Applicandae Mathematicae 3 Journal of Mathematical Sciences (New York) 3 Complexity 3 Regular and Chaotic Dynamics 3 Journal of Function Spaces 3 Nonlinear Analysis. Theory, Methods & Applications 2 Communications in Mathematical Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Bulletin of Mathematical Biology 2 Inventiones Mathematicae 2 Proceedings of the American Mathematical Society 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 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 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Russian Mathematics 2 Electronic Journal of Differential Equations (EJDE) 2 NoDEA. Nonlinear Differential Equations and Applications 2 Differential Equations and Dynamical Systems 2 Journal of Dynamical and Control Systems 2 Journal of Nonlinear Mathematical Physics 2 Journal of the Australian Mathematical Society 2 Mathematical Biosciences and Engineering 2 Discrete and Continuous Dynamical Systems. Series S 2 International Journal of Biomathematics 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Israel Journal of Mathematics 1 Journal of Engineering Mathematics 1 Mathematical Biosciences 1 Metrika 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 BIT 1 Functional Analysis and its Applications 1 International Journal of Circuit Theory and Applications 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Journal of Pure and Applied Algebra 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quarterly of Applied Mathematics 1 Transactions of the Moscow Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Symbolic Computation 1 Journal of Complexity 1 Real-Time Systems 1 Applications of Mathematics 1 Aequationes Mathematicae 1 Automation and Remote Control 1 SIAM Journal on Mathematical Analysis 1 Expositiones Mathematicae 1 Acta Mathematica Sinica. New Series ...and 39 more Serials
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#### Cited in 35 Fields

 685 Ordinary differential equations (34-XX) 271 Dynamical systems and ergodic theory (37-XX) 84 Biology and other natural sciences (92-XX) 30 Partial differential equations (35-XX) 16 Mechanics of particles and systems (70-XX) 9 Operator theory (47-XX) 8 Algebraic geometry (14-XX) 8 Numerical analysis (65-XX) 6 Difference and functional equations (39-XX) 5 Computer science (68-XX) 4 Approximations and expansions (41-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 3 Systems theory; control (93-XX) 2 Commutative algebra (13-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Integral equations (45-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX)