Edit Profile (opens in new tab) Li, Chengzhi Co-Author Distance Author ID: 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 Co-Authors 9 single-authored 16 Llibre, Jaume 14 Zhang, Zhifen 12 Li, Weigu 10 Dumortier, Freddy 7 Liu, Changjian 5 Chow, Shuinee 5 Gasull, Armengol 5 Wang, Duo 4 Torregrosa, Joan 4 Yu, Jiang 3 Iliev, Iliya Dimov 3 Ma, Zhien 3 Rousseau, Christiane 2 Chen, Guoting 2 Christopher, Colin J. 2 Li, Jianquan 2 Lu, Kening 2 Roussarie, Robert 2 Yang, Jiazhong 2 Zhang, Zenghua 2 Zhao, Yulin 2 Zhu, Huaiping 1 Bettati, Riccardo 1 Chen, Fengde 1 Cheng, Minhua 1 Choi, Byung-Kyu 1 Chow, Shiu-Nee 1 Coll, Bartomeu 1 Dai, Huaiyu 1 Farr, William W. 1 Fiddelaers, Peter 1 Guillamon, Antoni 1 He, Yue 1 Hu, Weimin 1 Kanodia, Vikram 1 Knightly, Edward W. 1 Kooij, Robert E. 1 Labouriau, Isabel S. 1 Langford, William F. 1 Li, Jinming 1 Liu, Zhihui 1 Ma, Xianzhong 1 Mardešić, Pavao 1 Ning, Peng 1 Prohens, Rafel 1 Ren, Zhihua 1 Sabharwal, Ashutosh 1 Sadeghi, Bahareh 1 Wang, Dechen 1 Wen, Lan 1 Xu, Guanshui 1 Xuan, Dong 1 Yang, Liu 1 Yi, Yingfei 1 Zhang, Gemeng 1 Zhang, Zenghau 1 Zhang, Zifen 1 Zhao, Wei 1 Zhou, Yicang 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 all top 5 Fields 79 Ordinary differential equations (34-XX) 47 Dynamical systems and ergodic theory (37-XX) 7 Biology and other natural sciences (92-XX) 3 Computer science (68-XX) 2 Partial differential equations (35-XX) 2 Operator theory (47-XX) 2 Quantum theory (81-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications 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 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year