Edit Profile Zhang, Xiang Compute Distance To: Compute Author ID: zhang.xiang Published as: Zhang, X.; Zhang, Xiang Homepage: http://math.sjtu.edu.cn/faculty/zhangxiang/Homepage%20English.html External Links: ORCID · ResearchGate Documents Indexed: 176 Publications since 1990, including 2 Books Reviewing Activity: 27 Reviews all top 5 Co-Authors 44 single-authored 44 Llibre, Jaume 6 Yu, Jiang 5 Li, Weigu 5 Wei, Lijun 4 Cao, Jinlong 4 Chen, Cheng 4 Gasull, Armengol 4 Han, Maoan 4 Pan, Yangyou 4 Romanovski, Valery G. 4 Wu, Kesheng 4 Ye, Qin 3 Pi, Dingheng 2 Liu, Fei 2 Liu, Fei 2 Tang, Yilei 2 Torregrosa, Joan 2 Valls Anglés, Cláudia 2 Weng, Shiliang 2 Xu, Yuxing 2 Yi, Yingfei 1 Bai, Yuzhen 1 Chen, Jian 1 Christopher, Colin J. 1 Cong, Wang 1 Du, Zengji 1 Giné, Jaume 1 Léger, Alain 1 Liang, Feng 1 Lü, Tinghua 1 Mo, Jiaqi 1 Nicolau, Marcel 1 Pantazi, Chara 1 Ponce, Enrique 1 Pratt, Elaine 1 Saghin, Radu 1 Sheng, Lijuan 1 Walcher, Sebastian 1 Wang, Cong 1 Wang, Long 1 Wu, Qinkuan 1 Xia, Yonghui 1 Xie, Feng 1 Ye, Yanqian 1 Yu, Pei 1 Yu, Xiaolan 1 Zhang, Yuanfan all top 5 Serials 20 Journal of Differential Equations 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Nonlinearity 6 Journal of Physics A: Mathematical and General 6 Bulletin des Sciences Mathématiques 5 Qualitative Theory of Dynamical Systems 4 Journal of Mathematical Physics 4 Applied Mathematics and Mechanics. (English Edition) 4 Discrete and Continuous Dynamical Systems 3 Journal of Mathematical Analysis and Applications 3 Proceedings of the American Mathematical Society 3 Annals of Differential Equations 3 Mathematica Applicata 3 Journal of Dynamics and Differential Equations 2 Rocky Mountain Journal of Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Pacific Journal of Mathematics 2 Acta Mathematicae Applicatae Sinica 2 Chinese Annals of Mathematics. Series A 2 Chinese Annals of Mathematics. Series B 2 Physica D 2 Science in China. Series A 2 Journal of Anhui Normal University. Natural Science 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 2 Nonlinear Analysis. Real World Applications 1 Communications in Mathematical Physics 1 Houston Journal of Mathematics 1 Journal of Geometry and Physics 1 American Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Journal of Functional Analysis 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Transactions of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Journal of Mathematical Research & Exposition 1 Journal of Engineering Mathematics (Xi’an) 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Jiangxi Normal University. Natural Science Edition 1 Systems Science and Mathematical Sciences 1 Dynamic Systems and Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Expositiones Mathematicae 1 Chinese Science Bulletin 1 Journal of Nonlinear Science 1 The Canadian Applied Mathematics Quarterly 1 Electronic Journal of Differential Equations (EJDE) 1 Computational and Applied Mathematics 1 Nonlinear Dynamics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Chinese Quarterly Journal of Mathematics 1 Chaos 1 Acta Mathematica Sinica. English Series 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Journal of Systems Science and Complexity 1 Mediterranean Journal of Mathematics 1 Developments in Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Science China. Mathematics 1 Journal of Applied Analysis and Computation 1 Journal of Shanghai Normal University. Natural Sciences all top 5 Fields 121 Ordinary differential equations (34-XX) 50 Dynamical systems and ergodic theory (37-XX) 8 Partial differential equations (35-XX) 4 Integral equations (45-XX) 3 Mechanics of particles and systems (70-XX) 2 Differential geometry (53-XX) 2 Biology and other natural sciences (92-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 117 Publications have been cited 957 times in 584 Documents Cited by ▼ Year ▼ Darboux theory of integrability in \(\mathbb C^n\) taking into account the multiplicity. Zbl 1163.34003Llibre, Jaume; Zhang, Xiang 50 2009 Bifurcation theory for finitely smooth planar autonomous differential systems. Zbl 1410.34116Han, Maoan; Sheng, Lijuan; Zhang, Xiang 39 2018 Polynomial first integrals for quasi-homogeneous polynomials differential systems. Zbl 1024.34001Llibre, Jaume; Zhang, Xiang 38 2002 Invariant algebraic surfaces of the Lorenz system. Zbl 1059.34005Llibre, Jaume; Zhang, Xiang 37 2002 Analytic normalization of analytic integrable systems and the embedding flows. Zbl 1141.34004Zhang, Xiang 28 2008 Darboux theory of integrability for polynomial vector fields in taking into account the multiplicity at infinity. Zbl 1198.34054Llibre, Jaume; Zhang, Xiang 27 2009 Rational first integrals in the Darboux theory of integrability in \(\mathbb C^n\). Zbl 1190.34003Llibre, Jaume; Zhang, Xiang 26 2010 Local first integrals of differential systems and diffeomorphisms. Zbl 1043.37010Li, Weigu; Llibre, Jaume; Zhang, Xiang 26 2003 Bifurcation of limit cycles from generalized homoclinic loops in planar piecewise smooth systems. Zbl 1301.34055Liang, Feng; Han, Maoan; Zhang, Xiang 24 2013 Invariant algebraic surfaces of the Rikitake system. Zbl 0967.34002Llibre, Jaume; Zhang, Xiang 24 2000 On the Darboux integrability of polynomial differential systems. Zbl 1266.34002Llibre, Jaume; Zhang, Xiang 23 2012 Equivalence of the Melnikov function method and the averaging method. Zbl 1377.34056Han, Maoan; Romanovski, Valery G.; Zhang, Xiang 18 2016 Darboux polynomials and algebraic integrability of the Chen system. Zbl 1148.34001Lü, Tinghua; Zhang, Xiang 17 2007 Darboux integrability and invariant algebraic curves for planar polynomial systems. Zbl 1012.34035Christopher, Colin; Llibre, Jaume; Pantazi, Chara; Zhang, Xiang 17 2002 Extension of Floquet’s theory to nonlinear periodic differential systems and embedding diffeomorphisms in differential flows. Zbl 1048.37018Li, Weigu; Llibre, Jaume; Zhang, Xiang 17 2002 Analytic integrable systems: analytic normalization and embedding flows. Zbl 1335.34072Zhang, Xiang 15 2013 Hopf bifurcation in higher dimensional differential systems via the averaging method. Zbl 1171.34027Llibre, Jaume; Zhang, Xiang 15 2009 On the differentiability of first integrals of two dimensional flows. Zbl 1010.34023Li, Weigu; Llibre, Jaume; Nicolau, Marcel; Zhang, Xiang 15 2002 Darboux polynomials and rational first integrals of the generalized Lorenz systems. Zbl 1246.34018Wu, Kesheng; Zhang, Xiang 14 2012 First integrals and normal forms for germs of analytic vector fields. Zbl 1166.34018Chen, Jian; Yi, Yingfei; Zhang, Xiang 14 2008 Darboux integrability of real polynomial vector fields on regular algebraic hypersurfaces. Zbl 1194.34050Zhang, Xiang; Llibre, Jaume 14 2002 On the number of limit cycles for some perturbed Hamiltonian polynomial systems. Zbl 0992.34021Llibre, Jaume; Zhang, Xiang 14 2001 Averaging methods of arbitrary order, periodic solutions and integrability. Zbl 1336.34062Giné, Jaume; Llibre, Jaume; Wu, Kesheng; Zhang, Xiang 13 2016 The sliding bifurcations in planar piecewise smooth differential systems. Zbl 1290.34047Pi, Dingheng; Zhang, Xiang 13 2013 On the Hopf-zero bifurcation of the Michelson system. Zbl 1220.34070Llibre, Jaume; Zhang, Xiang 13 2011 Varieties of local integrability of analytic differential systems and their applications. Zbl 1305.34022Romanovski, Valery G.; Xia, Yonghui; Zhang, Xiang 12 2014 The 16th Hilbert problem on algebraic limit cycles. Zbl 1365.34064Zhang, Xiang 12 2011 Dynamics of the Lorenz system having an invariant algebraic surface. Zbl 1152.81361Cao, Jinlong; Zhang, Xiang 12 2007 Darboux integrability for the Rössler system. Zbl 1047.34002Llibre, Jaume; Zhang, Xiang 12 2002 Integrability of dynamical systems: algebra and analysis. Zbl 1373.37053Zhang, Xiang 11 2017 Center of planar quintic quasi-homogeneous polynomial differential systems. Zbl 1327.34054Tang, Yilei; Wang, Long; Zhang, Xiang 11 2015 Local first integrals for systems of differential equations. Zbl 1055.34074Zhang, Xiang 11 2003 Existence of piecewise linear differential systems with exactly \(n\) limit cycles for all \(n\in \mathbb N\). Zbl 1039.34023Llibre, Jaume; Ponce, Enrique; Zhang, Xiang 11 2003 A system of generalized Sylvester quaternion matrix equations and its applications. Zbl 1410.15037Zhang, Xiang 10 2016 Liouvillian integrability of polynomial differential systems. Zbl 1331.34006Zhang, Xiang 10 2016 Melnikov functions for period annulus, nondegenerate centers, heteroclinic and homoclinic cycles. Zbl 1052.37015Li, Weigu; Llibre, Jaume; Zhang, Xiang 10 2004 Limit cycle bifurcations near generalized homoclinic loop in piecewise smooth differential systems. Zbl 1334.37051Wei, Lijun; Zhang, Xiang 9 2016 Global structure of quaternion polynomial differential equations. Zbl 1251.34019Zhang, Xiang 9 2011 Global dynamics of the generalized Lorenz systems having invariant algebraic surfaces. Zbl 1338.37038Wu, Kesheng; Zhang, Xiang 8 2013 Generalized rational first integrals of analytic differential systems. Zbl 1232.34004Cong, Wang; Llibre, Jaume; Zhang, Xiang 8 2011 The hyperelliptic limit cycles of the Liénard systems. Zbl 1208.34038Yu, Xiaolan; Zhang, Xiang 8 2011 Planar analytic vector fields with generalized rational first integrals. Zbl 1032.34029Li, Weigu; Llibre, Jaume; Zhang, Xiang 8 2001 The number of polynomial solutions of polynomial Riccati equations. Zbl 1359.34020Gasull, Armengol; Torregrosa, Joan; Zhang, Xiang 7 2016 The embedding flows of \(C^\infty\) hyperbolic diffeomorphisms. Zbl 1221.37101Zhang, Xiang 7 2011 One-dimensional quaternion homogeneous polynomial differential equations. Zbl 1223.34060Gasull, Armengol; Llibre, Jaume; Zhang, Xiang 7 2009 On the algebraic limit cycles of Liénard systems. Zbl 1158.34021Llibre, Jaume; Zhang, Xiang 7 2008 Exponential factors and Darboux integrability for the Rössler system. Zbl 1085.34505Zhang, Xiang 7 2004 Invariant algebraic surfaces of the Rabinovich system. Zbl 1066.34027Xie, Feng; Zhang, Xiang 7 2003 Exponential factors and Darbouxian first integrals of the Lorenz system. Zbl 1060.34004Zhang, Xiang 7 2002 Limit cycles for discontinuous planar piecewise linear differential systems separated by one straight line and having a center. Zbl 1411.34030Llibre, Jaume; Zhang, Xiang 6 2018 Stability loss delay and smoothness of the return map in slow-fast systems. Zbl 1396.34042Wang, Cheng; Zhang, Xiang 6 2018 Eigenstrain based reduced order homogenization for polycrystalline materials. Zbl 1423.74796Zhang, Xiang; Oskay, Caglar 6 2015 Vector fields with homogeneous nonlinearities and many limit cycles. Zbl 1326.34060Gasull, Armengol; Yu, Jiang; Zhang, Xiang 6 2015 Local Darboux first integrals of analytic differential systems. Zbl 1291.34068Llibre, Jaume; Walcher, Sebastian; Zhang, Xiang 6 2014 On the sliding bifurcation of a class of planar Filippov systems. Zbl 1270.34088Pi, Dingheng; Yu, Jiang; Zhang, Xiang 6 2013 The Chen system having an invariant algebraic surface. Zbl 1165.34357Cao, Jinlong; Chen, Cheng; Zhang, Xiang 6 2008 The topological structure of the Rabinovich system having an invariant algebraic surface. Zbl 1141.34028Chen, Cheng; Cao, Jinlong; Zhang, Xiang 6 2008 Invariant algebraic curves and rational first integrals of holomorphic foliations in \(\mathbb C P(2)\). Zbl 1217.37049Zhang, Xiang 6 2003 Polynomial first integrals of quadratic systems. Zbl 1041.34018Llibre, Jaume; Zhang, Xiang 6 2001 Existence of limit cycles in a multiply-connected region. Zbl 0934.34023Zhang, Xiang 6 1999 The completely integrable differential systems are essentially linear differential systems. Zbl 1332.34004Llibre, Jaume; Valls, Claudia; Zhang, Xiang 5 2015 Nonuniform dichotomy spectrum and normal forms for nonautonomous differential systems. Zbl 1306.34083Zhang, Xiang 5 2014 Portfolio selection under DEA-based relative financial strength indicators: Case of US industries. Zbl 1153.90454Edirisinghe, N. C. P.; Zhang, X. 5 2008 Integrals of motion of the Rabinovich system. Zbl 0962.34034Zhang, Xiang 5 2000 Canards, heteroclinic and homoclinic orbits for a slow-fast predator-prey model of generalized Holling type III. Zbl 1418.34103Wang, Cheng; Zhang, Xiang 4 2019 Varieties and analytic normalizations of partially integrable systems. Zbl 1357.34072Du, Zengji; Romanovski, Valery G.; Zhang, Xiang 4 2016 On the analytic integrability of the 5-dimensional Lorenz system for the gravity-wave activity. Zbl 1287.34003Llibre, Jaume; Saghin, Radu; Zhang, Xiang 4 2014 Study of a transition in the qualitative behavior of a simple oscillator with Coulomb friction. Zbl 1279.34064Pratt, Elaine; Léger, Alain; Zhang, Xiang 4 2013 Embedding diffeomorphisms in flows in Banach spaces. Zbl 1177.37026Zhang, Xiang 4 2009 Relaxation oscillations in a slow-fast modified Leslie-Gower model. Zbl 1433.34069Wang, Cheng; Zhang, Xiang 3 2019 Averaging theory of arbitrary order for piecewise smooth differential systems and its application. Zbl 1387.34069Wei, Lijun; Zhang, Xiang 3 2018 Improved coupling of finite element method with material point method based on a particle-to-surface contact algorithm. Zbl 1423.74870Chen, Z. P.; Qiu, X. M.; Zhang, X.; Lian, Y. P. 3 2015 A mesh-grading material point method and its parallelization for problems with localized extreme deformation. Zbl 1423.74901Lian, Y. P.; Yang, P. F.; Zhang, X.; Zhang, F.; Liu, Y.; Huang, P. 3 2015 On polynomial integrability of the Euler equations on \(\mathfrak{so}(4)\). Zbl 1325.34003Llibre, Jaume; Yu, Jiang; Zhang, Xiang 3 2015 Analytic normalization of analytically integrable differential systems near a periodic orbit. Zbl 1297.34055Wu, Kesheng; Zhang, Xiang 3 2014 Embedding smooth diffeomorphisms in flows. Zbl 1194.37074Zhang, Xiang 3 2010 Limit cycles of differential systems via the averaging methods. Zbl 1362.34066Pi, Dingheng; Zhang, Xiang 3 2009 Dynamics of a nonlinear equation modelling the capillary rise. Zbl 1415.34062Zhang, Xiang 2 2018 Limit cycles of the classical Liénard differential systems: a survey on the Lins Neto, de Melo and Pugh’s conjecture. Zbl 1381.34049Llibre, Jaume; Zhang, Xiang 2 2017 Liouvillian integrability versus Darboux polynomials. Zbl 1364.34016Llibre, Jaume; Valls, Claudia; Zhang, Xiang 2 2016 On the limit cycles of linear differential systems with homogeneous nonlinearities. Zbl 1337.34034Llibre, Jaume; Zhang, Xiang 2 2015 Darboux integrability and algebraic limit cycles for a class of polynomial differential systems. Zbl 1308.34040Cao, Jinlong; Llibre, Jaume; Zhang, Xiang 2 2014 Global \({C}^{\infty}\) integrability of cubic-linear polynomial differential systems. Zbl 1319.34009Pan, Yangyou; Wang, Cong; Zhang, Xiang 2 2014 Input/output selection in DEA under expert information, with application to financial markets. Zbl 1206.91019Edirisinghe, N. C. P.; Zhang, X. 2 2010 Integrable Hamiltonian systems with positive topological entropy. Zbl 1194.34015Liu, Fei; Chen, Cheng; Zhang, Xiang 2 2009 Orthogonal separable Hamiltonian systems on \(T^{2}\). Zbl 1136.37031Chen, Cheng; Liu, Fei; Zhang, Xiang 2 2007 Planar analytic systems having locally analytic first integrals at an isolated singular point. Zbl 1056.34047Zhang, Xiang 2 2004 Invariant hyperplanes and Darboux integrability of polynomial vector fields. Zbl 1054.34062Zhang, Xiang 2 2002 Invariant algebraic surfaces of the Belousov-Zhabotinskii systems. Zbl 1127.34328Llibre, Jaume; Zhang, Xiang 2 2001 Ergodicity of limit cycles in quadratic systems. Zbl 0979.34025Zhang, Xiang 2 2001 Determination of the sign of divergence of a quadratic system at critical points. Zbl 0911.34024Zhang, Xiang 2 1997 Uniqueness of limit cycles of quadratic system (III)\(_{m=0}\). Zbl 0883.34036Zhang, Xiang; Ye, Qin 2 1997 Density and gradient estimates for non degenerate Brownian SDEs with unbounded measurable drift. Zbl 07285692Menozzi, S.; Pesce, A.; Zhang, X. 1 2021 The period function of Hamiltonian systems with separable variables. Zbl 07201505Villadelprat, Jordi; Zhang, Xiang 1 2020 Constructing likelihood functions for interval-valued random variables. Zbl 1444.62139Zhang, X.; Beranger, B.; Sisson, S. A. 1 2020 The non-existence, existence and uniqueness of limit cycles for quadratic polynomial differential systems. Zbl 1430.34039Llibre, Jaume; Zhang, Xiang 1 2019 On natural modes in moonpools and gaps in finite depth. Zbl 1419.76346Molin, Bernard; Zhang, X.; Huang, H.; Remy, F. 1 2018 Quadratic differential systems with complex conjugate invariant lines meeting at a finite point. Zbl 1393.37023Schlomiuk, Dana; Zhang, Xiang 1 2018 Dynamics of some three-dimensional Lotka-Volterra systems. Zbl 1376.34030Llibre, Jaume; Zhang, Xiang 1 2017 A note on local integrability of differential systems. Zbl 1385.34004Zhang, Xiang 1 2017 Density and gradient estimates for non degenerate Brownian SDEs with unbounded measurable drift. Zbl 07285692Menozzi, S.; Pesce, A.; Zhang, X. 1 2021 The period function of Hamiltonian systems with separable variables. Zbl 07201505Villadelprat, Jordi; Zhang, Xiang 1 2020 Constructing likelihood functions for interval-valued random variables. Zbl 1444.62139Zhang, X.; Beranger, B.; Sisson, S. A. 1 2020 Canards, heteroclinic and homoclinic orbits for a slow-fast predator-prey model of generalized Holling type III. Zbl 1418.34103Wang, Cheng; Zhang, Xiang 4 2019 Relaxation oscillations in a slow-fast modified Leslie-Gower model. Zbl 1433.34069Wang, Cheng; Zhang, Xiang 3 2019 The non-existence, existence and uniqueness of limit cycles for quadratic polynomial differential systems. Zbl 1430.34039Llibre, Jaume; Zhang, Xiang 1 2019 Bifurcation theory for finitely smooth planar autonomous differential systems. Zbl 1410.34116Han, Maoan; Sheng, Lijuan; Zhang, Xiang 39 2018 Limit cycles for discontinuous planar piecewise linear differential systems separated by one straight line and having a center. Zbl 1411.34030Llibre, Jaume; Zhang, Xiang 6 2018 Stability loss delay and smoothness of the return map in slow-fast systems. Zbl 1396.34042Wang, Cheng; Zhang, Xiang 6 2018 Averaging theory of arbitrary order for piecewise smooth differential systems and its application. Zbl 1387.34069Wei, Lijun; Zhang, Xiang 3 2018 Dynamics of a nonlinear equation modelling the capillary rise. Zbl 1415.34062Zhang, Xiang 2 2018 On natural modes in moonpools and gaps in finite depth. Zbl 1419.76346Molin, Bernard; Zhang, X.; Huang, H.; Remy, F. 1 2018 Quadratic differential systems with complex conjugate invariant lines meeting at a finite point. Zbl 1393.37023Schlomiuk, Dana; Zhang, Xiang 1 2018 Integrability of dynamical systems: algebra and analysis. Zbl 1373.37053Zhang, Xiang 11 2017 Limit cycles of the classical Liénard differential systems: a survey on the Lins Neto, de Melo and Pugh’s conjecture. Zbl 1381.34049Llibre, Jaume; Zhang, Xiang 2 2017 Dynamics of some three-dimensional Lotka-Volterra systems. Zbl 1376.34030Llibre, Jaume; Zhang, Xiang 1 2017 A note on local integrability of differential systems. Zbl 1385.34004Zhang, Xiang 1 2017 Equivalence of the Melnikov function method and the averaging method. Zbl 1377.34056Han, Maoan; Romanovski, Valery G.; Zhang, Xiang 18 2016 Averaging methods of arbitrary order, periodic solutions and integrability. Zbl 1336.34062Giné, Jaume; Llibre, Jaume; Wu, Kesheng; Zhang, Xiang 13 2016 A system of generalized Sylvester quaternion matrix equations and its applications. Zbl 1410.15037Zhang, Xiang 10 2016 Liouvillian integrability of polynomial differential systems. Zbl 1331.34006Zhang, Xiang 10 2016 Limit cycle bifurcations near generalized homoclinic loop in piecewise smooth differential systems. Zbl 1334.37051Wei, Lijun; Zhang, Xiang 9 2016 The number of polynomial solutions of polynomial Riccati equations. Zbl 1359.34020Gasull, Armengol; Torregrosa, Joan; Zhang, Xiang 7 2016 Varieties and analytic normalizations of partially integrable systems. Zbl 1357.34072Du, Zengji; Romanovski, Valery G.; Zhang, Xiang 4 2016 Liouvillian integrability versus Darboux polynomials. Zbl 1364.34016Llibre, Jaume; Valls, Claudia; Zhang, Xiang 2 2016 Normal form and limit cycle bifurcation of piecewise smooth differential systems with a center. Zbl 1344.34029Wei, Lijun; Zhang, Xiang 1 2016 Center of planar quintic quasi-homogeneous polynomial differential systems. Zbl 1327.34054Tang, Yilei; Wang, Long; Zhang, Xiang 11 2015 Eigenstrain based reduced order homogenization for polycrystalline materials. Zbl 1423.74796Zhang, Xiang; Oskay, Caglar 6 2015 Vector fields with homogeneous nonlinearities and many limit cycles. Zbl 1326.34060Gasull, Armengol; Yu, Jiang; Zhang, Xiang 6 2015 The completely integrable differential systems are essentially linear differential systems. Zbl 1332.34004Llibre, Jaume; Valls, Claudia; Zhang, Xiang 5 2015 Improved coupling of finite element method with material point method based on a particle-to-surface contact algorithm. Zbl 1423.74870Chen, Z. P.; Qiu, X. M.; Zhang, X.; Lian, Y. P. 3 2015 A mesh-grading material point method and its parallelization for problems with localized extreme deformation. Zbl 1423.74901Lian, Y. P.; Yang, P. F.; Zhang, X.; Zhang, F.; Liu, Y.; Huang, P. 3 2015 On polynomial integrability of the Euler equations on \(\mathfrak{so}(4)\). Zbl 1325.34003Llibre, Jaume; Yu, Jiang; Zhang, Xiang 3 2015 On the limit cycles of linear differential systems with homogeneous nonlinearities. Zbl 1337.34034Llibre, Jaume; Zhang, Xiang 2 2015 Varieties of local integrability of analytic differential systems and their applications. Zbl 1305.34022Romanovski, Valery G.; Xia, Yonghui; Zhang, Xiang 12 2014 Local Darboux first integrals of analytic differential systems. Zbl 1291.34068Llibre, Jaume; Walcher, Sebastian; Zhang, Xiang 6 2014 Nonuniform dichotomy spectrum and normal forms for nonautonomous differential systems. Zbl 1306.34083Zhang, Xiang 5 2014 On the analytic integrability of the 5-dimensional Lorenz system for the gravity-wave activity. Zbl 1287.34003Llibre, Jaume; Saghin, Radu; Zhang, Xiang 4 2014 Analytic normalization of analytically integrable differential systems near a periodic orbit. Zbl 1297.34055Wu, Kesheng; Zhang, Xiang 3 2014 Darboux integrability and algebraic limit cycles for a class of polynomial differential systems. Zbl 1308.34040Cao, Jinlong; Llibre, Jaume; Zhang, Xiang 2 2014 Global \({C}^{\infty}\) integrability of cubic-linear polynomial differential systems. Zbl 1319.34009Pan, Yangyou; Wang, Cong; Zhang, Xiang 2 2014 On the limit cycles of the polynomial differential systems with a linear node and homogeneous nonlinearities. Zbl 1296.34076Llibre, Jaume; Yu, Jiang; Zhang, Xiang 1 2014 Inverse Jacobian multipliers and Hopf bifurcation on center manifolds. Zbl 1417.34089Zhang, Xiang 1 2014 Bifurcation of limit cycles from generalized homoclinic loops in planar piecewise smooth systems. Zbl 1301.34055Liang, Feng; Han, Maoan; Zhang, Xiang 24 2013 Analytic integrable systems: analytic normalization and embedding flows. Zbl 1335.34072Zhang, Xiang 15 2013 The sliding bifurcations in planar piecewise smooth differential systems. Zbl 1290.34047Pi, Dingheng; Zhang, Xiang 13 2013 Global dynamics of the generalized Lorenz systems having invariant algebraic surfaces. Zbl 1338.37038Wu, Kesheng; Zhang, Xiang 8 2013 On the sliding bifurcation of a class of planar Filippov systems. Zbl 1270.34088Pi, Dingheng; Yu, Jiang; Zhang, Xiang 6 2013 Study of a transition in the qualitative behavior of a simple oscillator with Coulomb friction. Zbl 1279.34064Pratt, Elaine; Léger, Alain; Zhang, Xiang 4 2013 Algebraic aspects of integrability for polynomial differential systems. Zbl 1295.34001Pan, Yangyou; Zhang, Xiang 1 2013 Comment on “On the polynomial integrability of the Kirchhoff equations”. Zbl 1267.34005Zhang, Xiang 1 2013 On the Darboux integrability of polynomial differential systems. Zbl 1266.34002Llibre, Jaume; Zhang, Xiang 23 2012 Darboux polynomials and rational first integrals of the generalized Lorenz systems. Zbl 1246.34018Wu, Kesheng; Zhang, Xiang 14 2012 On the Hopf-zero bifurcation of the Michelson system. Zbl 1220.34070Llibre, Jaume; Zhang, Xiang 13 2011 The 16th Hilbert problem on algebraic limit cycles. Zbl 1365.34064Zhang, Xiang 12 2011 Global structure of quaternion polynomial differential equations. Zbl 1251.34019Zhang, Xiang 9 2011 Generalized rational first integrals of analytic differential systems. Zbl 1232.34004Cong, Wang; Llibre, Jaume; Zhang, Xiang 8 2011 The hyperelliptic limit cycles of the Liénard systems. Zbl 1208.34038Yu, Xiaolan; Zhang, Xiang 8 2011 The embedding flows of \(C^\infty\) hyperbolic diffeomorphisms. Zbl 1221.37101Zhang, Xiang 7 2011 Rational first integrals in the Darboux theory of integrability in \(\mathbb C^n\). Zbl 1190.34003Llibre, Jaume; Zhang, Xiang 26 2010 Embedding smooth diffeomorphisms in flows. Zbl 1194.37074Zhang, Xiang 3 2010 Input/output selection in DEA under expert information, with application to financial markets. Zbl 1206.91019Edirisinghe, N. C. P.; Zhang, X. 2 2010 Integrable natural Hamiltonian systems on the suspensions of toric automorphism. Zbl 1202.37019Liu, Fei; Zhang, Xiang 1 2010 Limit cycles for a class of third-order differential equations. Zbl 1196.37087Llibre, Jaume; Yu, Jiang; Zhang, Xiang 1 2010 Darboux theory of integrability in \(\mathbb C^n\) taking into account the multiplicity. Zbl 1163.34003Llibre, Jaume; Zhang, Xiang 50 2009 Darboux theory of integrability for polynomial vector fields in taking into account the multiplicity at infinity. Zbl 1198.34054Llibre, Jaume; Zhang, Xiang 27 2009 Hopf bifurcation in higher dimensional differential systems via the averaging method. Zbl 1171.34027Llibre, Jaume; Zhang, Xiang 15 2009 One-dimensional quaternion homogeneous polynomial differential equations. Zbl 1223.34060Gasull, Armengol; Llibre, Jaume; Zhang, Xiang 7 2009 Embedding diffeomorphisms in flows in Banach spaces. Zbl 1177.37026Zhang, Xiang 4 2009 Limit cycles of differential systems via the averaging methods. Zbl 1362.34066Pi, Dingheng; Zhang, Xiang 3 2009 Integrable Hamiltonian systems with positive topological entropy. Zbl 1194.34015Liu, Fei; Chen, Cheng; Zhang, Xiang 2 2009 Analytic normalization of analytic integrable systems and the embedding flows. Zbl 1141.34004Zhang, Xiang 28 2008 First integrals and normal forms for germs of analytic vector fields. Zbl 1166.34018Chen, Jian; Yi, Yingfei; Zhang, Xiang 14 2008 On the algebraic limit cycles of Liénard systems. Zbl 1158.34021Llibre, Jaume; Zhang, Xiang 7 2008 The Chen system having an invariant algebraic surface. Zbl 1165.34357Cao, Jinlong; Chen, Cheng; Zhang, Xiang 6 2008 The topological structure of the Rabinovich system having an invariant algebraic surface. Zbl 1141.34028Chen, Cheng; Cao, Jinlong; Zhang, Xiang 6 2008 Portfolio selection under DEA-based relative financial strength indicators: Case of US industries. Zbl 1153.90454Edirisinghe, N. C. P.; Zhang, X. 5 2008 Limit cycles coming from the perturbation of 2-dimensional centers of vector fields in \(\mathbb R^3\). Zbl 1202.37072Llibre, Jaume; Yu, Jiang; Zhang, Xiang 1 2008 Darboux polynomials and algebraic integrability of the Chen system. Zbl 1148.34001Lü, Tinghua; Zhang, Xiang 17 2007 Dynamics of the Lorenz system having an invariant algebraic surface. Zbl 1152.81361Cao, Jinlong; Zhang, Xiang 12 2007 Orthogonal separable Hamiltonian systems on \(T^{2}\). Zbl 1136.37031Chen, Cheng; Liu, Fei; Zhang, Xiang 2 2007 Melnikov functions for period annulus, nondegenerate centers, heteroclinic and homoclinic cycles. Zbl 1052.37015Li, Weigu; Llibre, Jaume; Zhang, Xiang 10 2004 Exponential factors and Darboux integrability for the Rössler system. Zbl 1085.34505Zhang, Xiang 7 2004 Planar analytic systems having locally analytic first integrals at an isolated singular point. Zbl 1056.34047Zhang, Xiang 2 2004 Local first integrals of differential systems and diffeomorphisms. Zbl 1043.37010Li, Weigu; Llibre, Jaume; Zhang, Xiang 26 2003 Local first integrals for systems of differential equations. Zbl 1055.34074Zhang, Xiang 11 2003 Existence of piecewise linear differential systems with exactly \(n\) limit cycles for all \(n\in \mathbb N\). Zbl 1039.34023Llibre, Jaume; Ponce, Enrique; Zhang, Xiang 11 2003 Invariant algebraic surfaces of the Rabinovich system. Zbl 1066.34027Xie, Feng; Zhang, Xiang 7 2003 Invariant algebraic curves and rational first integrals of holomorphic foliations in \(\mathbb C P(2)\). Zbl 1217.37049Zhang, Xiang 6 2003 Polynomial first integrals for quasi-homogeneous polynomials differential systems. Zbl 1024.34001Llibre, Jaume; Zhang, Xiang 38 2002 Invariant algebraic surfaces of the Lorenz system. Zbl 1059.34005Llibre, Jaume; Zhang, Xiang 37 2002 Darboux integrability and invariant algebraic curves for planar polynomial systems. Zbl 1012.34035Christopher, Colin; Llibre, Jaume; Pantazi, Chara; Zhang, Xiang 17 2002 Extension of Floquet’s theory to nonlinear periodic differential systems and embedding diffeomorphisms in differential flows. Zbl 1048.37018Li, Weigu; Llibre, Jaume; Zhang, Xiang 17 2002 On the differentiability of first integrals of two dimensional flows. Zbl 1010.34023Li, Weigu; Llibre, Jaume; Nicolau, Marcel; Zhang, Xiang 15 2002 Darboux integrability of real polynomial vector fields on regular algebraic hypersurfaces. Zbl 1194.34050Zhang, Xiang; Llibre, Jaume 14 2002 Darboux integrability for the Rössler system. Zbl 1047.34002Llibre, Jaume; Zhang, Xiang 12 2002 Exponential factors and Darbouxian first integrals of the Lorenz system. Zbl 1060.34004Zhang, Xiang 7 2002 Invariant hyperplanes and Darboux integrability of polynomial vector fields. Zbl 1054.34062Zhang, Xiang 2 2002 On the number of limit cycles for some perturbed Hamiltonian polynomial systems. Zbl 0992.34021Llibre, Jaume; Zhang, Xiang 14 2001 Planar analytic vector fields with generalized rational first integrals. Zbl 1032.34029Li, Weigu; Llibre, Jaume; Zhang, Xiang 8 2001 ...and 17 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 596 Authors 151 Llibre, Jaume 78 Valls Anglés, Cláudia 65 Zhang, Xiang 33 Han, Maoan 23 Giné, Jaume 16 Algaba, Antonio 13 Romanovski, Valery G. 11 Ferragut, Antoni 11 Pantazi, Chara 11 Shi, Shaoyun 10 Messias, Marcelo 9 García, Isaac A. 9 Rodríguez-Luis, Alejandro J. 8 Huang, Jianfeng 8 Li, Shimin 8 Merino, Manuel 8 Oliveira, Regilene D. S. 8 Wei, Zhouchao 8 Xia, Yonghui 8 Yang, Junmin 7 Fernández-Sánchez, Fernando 7 García, Cristóbal 7 Gasull, Armengol 7 Huang, Chengdai 7 Liang, Haihua 7 Zhao, Yulin 6 Liu, Changjian 6 Ramírez, Rafael O. 6 Walcher, Sebastian 6 Xiong, Yanqin 6 Yang, Jiazhong 6 Zhao, Liqin 5 Cao, Jinlong 5 Chèze, Guillaume 5 García, Belén 5 Giacomini, Hector J. 5 He, ZhuoHeng 5 Hu, Zhaoping 5 Huang, Kaiyin 5 Li, Weigu 5 Li, Wenlei 5 Liang, Feng 5 Pérez del Río, Jesús S. 5 Sadovskaia, Natalia 5 Sheng, Lijuan 5 Tang, Yilei 5 Wei, Lijun 5 Wu, Hao 5 Xu, Zhiguo 5 Yu, Jiang 5 Yu, Pei 4 Bai, Yuzhen 4 Buzzi, Claudio Aguinaldo 4 Cao, Jinde 4 Chen, Hebai 4 Christopher, Colin J. 4 Du, Zengji 4 Li, Chengliang 4 Li, Jibin 4 Ma, Changfeng 4 Novaes, Douglas Duarte 4 Reinol, Alisson C. 4 Reyes, Manuel 4 Vulpe, Nicolae I. 4 Xiao, Min 4 Yang, Jihua 4 Zangeneh, Hamid R. Z. 3 Bolaños, Yudy 3 Buică, Adriana 3 Chavarriga, Javier 3 Corrêa Barros, Maurício Jun. 3 Demina, Maria V. 3 Fernando Mello, Luis 3 Hu, Yanxia 3 Jiang, Jiao 3 Lăzureanu, Cristian 3 Li, Feng 3 Li, Xinli 3 Liu, Yongjian 3 Mahdi, Adam 3 Makhlouf, Ammar 3 Maza, Susanna 3 Medrado, João C. R. 3 Schlomiuk, Dana I. 3 Shafer, Douglas S. 3 Teixeira, Marco Antonio 3 Tudoran, Răzvan Micu 3 Wang, Lei 3 Wang, Zhengxin 3 Wu, Kesheng 3 Yang, Qigui 3 Yang, Xiaosong 3 Zhang, Weinian 2 Acosta Humánez, Primitivo Belén 2 Akram, Muhammad 2 Ali, Ilyas 2 Atabaigi, Ali 2 Augarde, Charles Edward 2 Barreira, Luis Manuel 2 Benterki, Rebiha ...and 496 more Authors all top 5 Cited in 115 Serials 77 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 62 Journal of Differential Equations 38 Journal of Mathematical Analysis and Applications 35 Qualitative Theory of Dynamical Systems 23 Bulletin des Sciences Mathématiques 17 Nonlinear Dynamics 15 Journal of Mathematical Physics 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Journal of Dynamics and Differential Equations 13 Nonlinear Analysis. Real World Applications 12 Applied Mathematics and Computation 12 Applied Mathematics Letters 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Chaos, Solitons and Fractals 10 Discrete and Continuous Dynamical Systems 10 Advances in Difference Equations 9 Computer Methods in Applied Mechanics and Engineering 9 Discrete and Continuous Dynamical Systems. Series B 8 Journal of Geometry and Physics 8 Acta Mathematica Sinica. English Series 7 Computers & Mathematics with Applications 6 Physica D 6 Mathematical Problems in Engineering 6 Journal of Nonlinear Mathematical Physics 6 Dynamical Systems 5 Rocky Mountain Journal of Mathematics 5 Journal of Computational and Applied Mathematics 5 Proceedings of the American Mathematical Society 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Communications in Nonlinear Science and Numerical Simulation 4 Advances in Applied Clifford Algebras 4 Chaos 3 Physics Letters. A 3 European Journal of Operational Research 3 Regular and Chaotic Dynamics 3 Journal of Systems Science and Complexity 3 International Journal of Geometric Methods in Modern Physics 3 Science China. Mathematics 3 Journal of Function Spaces 2 Ergodic Theory and Dynamical Systems 2 Acta Applicandae Mathematicae 2 Journal of Symbolic Computation 2 European Journal of Applied Mathematics 2 Electronic Journal of Differential Equations (EJDE) 2 NoDEA. Nonlinear Differential Equations and Applications 2 Abstract and Applied Analysis 2 Mathematical Physics, Analysis and Geometry 2 Communications in Contemporary Mathematics 2 Advanced Nonlinear Studies 2 SIAM Journal on Applied Dynamical Systems 2 Mediterranean Journal of Mathematics 2 Nonlinear Analysis. Hybrid Systems 2 Advances in Mathematical Physics 2 Journal of Applied Analysis and Computation 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 Communications in Mathematical Physics 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Mathematical Methods in the Applied Sciences 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 Mathematics of Computation 1 Advances in Mathematics 1 Canadian Journal of Mathematics 1 Geometriae Dedicata 1 Journal of Functional Analysis 1 Journal of Pure and Applied Algebra 1 Mathematische Zeitschrift 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Transactions of the American Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Complexity 1 Revista Matemática Iberoamericana 1 Mathematical and Computer Modelling 1 Neural Networks 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 Communications in Statistics. Theory and Methods 1 Journal of Nonlinear Science 1 Topological Methods in Nonlinear Analysis 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Integral Transforms and Special Functions 1 Complexity 1 Engineering Analysis with Boundary Elements 1 Journal of Difference Equations and Applications 1 Mathematics and Mechanics of Solids 1 Differential Equations and Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of Inequalities and Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 DGDS. Differential Geometry – Dynamical Systems 1 Differential Equations 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Foundations of Computational Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris ...and 15 more Serials all top 5 Cited in 41 Fields 472 Ordinary differential equations (34-XX) 202 Dynamical systems and ergodic theory (37-XX) 27 Mechanics of particles and systems (70-XX) 21 Partial differential equations (35-XX) 21 Biology and other natural sciences (92-XX) 16 Numerical analysis (65-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 12 Mechanics of deformable solids (74-XX) 10 Systems theory; control (93-XX) 7 Difference and functional equations (39-XX) 6 Geophysics (86-XX) 6 Operations research, mathematical programming (90-XX) 5 Field theory and polynomials (12-XX) 5 Algebraic geometry (14-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Computer science (68-XX) 5 Fluid mechanics (76-XX) 5 Relativity and gravitational theory (83-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Special functions (33-XX) 4 Operator theory (47-XX) 3 Number theory (11-XX) 3 Commutative algebra (13-XX) 3 Group theory and generalizations (20-XX) 3 Differential geometry (53-XX) 3 Statistics (62-XX) 2 Nonassociative rings and algebras (17-XX) 2 Integral equations (45-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Astronomy and astrophysics (85-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Citations by Year