Edit Profile (opens in new tab) Zhang, Xiang Compute Distance To: Compute Author ID: zhang.xiang Published as: Zhang, Xiang Homepage: http://math.sjtu.edu.cn/faculty/zhangxiang/Homepage%20English.html External Links: ORCID · ResearchGate Documents Indexed: 197 Publications since 1990, including 2 Books 1 Contribution as Editor Reviewing Activity: 32 Reviews Co-Authors: 49 Co-Authors with 100 Joint Publications 2,012 Co-Co-Authors all top 5 Co-Authors 48 single-authored 46 Llibre, Jaume 7 Wei, Lijun 7 Yu, Jiang 5 Li, Weigu 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 Edirisinghe, N. Chanaka P. 3 Oskay, Caglar 3 Pi, Dingheng 3 Walcher, Sebastian 2 Brandyberry, David R. 2 Gao, Wen 2 Geubelle, Philippe H. 2 Liang, Haihua 2 Ma, Siwei 2 Tang, Yilei 2 Torregrosa, Joan 2 Valls Anglés, Cláudia 2 Wang, Shiqi 2 Weng, Shiliang 2 Xu, Yuxing 2 Yi, Yingfei 1 ADNI 1 Alshal, Hassan 1 Bai, Yuzhen 1 Baral, Purna C. 1 Beranger, Boris 1 Boyadzhiyska, Simona 1 Chen, Jian 1 Chen, Nathan 1 Chen, Shuhang 1 Chen, Songlin 1 Chen, Xianfeng 1 Chen, Xiu 1 Christopher, Colin J. 1 Coenen, Wilfried 1 Cong, Wang 1 Curtright, Thomas L. 1 Du, Zengji 1 Dutta, Niloy K. 1 Giné, Jaume 1 He, Guowei 1 He, Zecen 1 Huang, Yifan 1 Kruff, Niclas 1 Lange, Karen 1 Léger, Alain 1 Li, Lexin 1 Li, Lingfei 1 Li, Shimin 1 Liang, Feng 1 Lin, Zhouchen 1 Lin, Zixing 1 Liu, Xi 1 Long, Min 1 Lü, Tinghua 1 Mo, Jiaqi 1 Molin, Bernard 1 Nicolau, Marcel 1 Pan, Wenfeng 1 Pantazi, Chara 1 Peng, Fei 1 Ponce, Enrique 1 Pratt, Elaine 1 Qiao, Z. X. 1 Quadrio, Maurizio 1 Rémy, Frédérique 1 Rey, David 1 Saghin, Radu 1 Sánchez, Antonio L. 1 Scanlon, R. 1 Schlomiuk, Dana I. 1 Shen, Dinggang 1 Shen, Jianhe 1 Shen, Xiang 1 Sheng, Lijuan 1 Shi, Hua 1 Shi, Juanrong 1 Sisson, Scott A. 1 Sun, Huifang 1 Sun, Jiarui 1 Tamang, Karan 1 Villadelprat, Jordi 1 Wallbaum, John 1 Wang, Cong 1 Wang, Jinhuan 1 Wang, Long 1 Wang, Shizhao 1 Wang, Weixia 1 Wang, Yiwen 1 Wang, Yueming 1 Wu, Qinkuan 1 Xia, Damin 1 Xia, Yonghui ...and 15 more Co-Authors all top 5 Serials 25 Journal of Differential Equations 10 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Qualitative Theory of Dynamical Systems 6 Computer Methods in Applied Mechanics and Engineering 6 Nonlinearity 6 Journal of Physics A: Mathematical and General 6 Bulletin des Sciences Mathématiques 5 Discrete and Continuous Dynamical Systems 4 Journal of Fluid Mechanics 4 Journal of Mathematical Physics 4 Proceedings of the American Mathematical Society 4 Applied Mathematics and Mechanics. (English Edition) 4 Physica D 4 Mathematica Applicata 4 Journal of Dynamics and Differential Equations 4 Nonlinear Analysis. Real World Applications 3 Journal of Mathematical Analysis and Applications 3 Annals of Differential Equations 3 European Journal of Operational Research 2 Rocky Mountain Journal of Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Biometrika 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 Science in China. Series A 2 Expositiones Mathematicae 2 Journal of Anhui Normal University. Natural Science 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 2 IEEE Transactions on Image Processing 2 Science China. Mathematics 1 Archives of Mechanics 1 Communications in Mathematical Physics 1 European Journal of Physics 1 Houston Journal of Mathematics 1 Scandinavian Journal of Statistics 1 Ukrainian Mathematical Journal 1 Journal of Geometry and Physics 1 Algebra and Logic 1 American Journal of Mathematics 1 Applied Mathematics and Computation 1 Canadian Mathematical Bulletin 1 Journal of Functional Analysis 1 Journal of the Operational Research Society 1 Journal of Optimization Theory and Applications 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Studies in Applied Mathematics 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 Optimization 1 Journal of Jiangxi Normal University. Natural Science Edition 1 Computational Mechanics 1 Applied Mathematics Letters 1 Systems Science and Mathematical Sciences 1 Neural Computation 1 International Journal of Adaptive Control and Signal Processing 1 Dynamic Systems and Applications 1 Journal of Statistical Computation and Simulation 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 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 Journal of Lie Theory 1 Statistica Sinica 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 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Systems Science and Complexity 1 SIAM Journal on Applied Dynamical Systems 1 Mediterranean Journal of Mathematics 1 Networks and Spatial Economics 1 Developments in Mathematics 1 Journal of Biological Dynamics 1 Discrete and Continuous Dynamical Systems. Series S 1 IET Control Theory & Applications 1 International Journal of Mathematics in Operational Research 1 Journal of Applied Analysis and Computation 1 Journal of Shanghai Normal University. Natural Sciences all top 5 Fields 142 Ordinary differential equations (34-XX) 57 Dynamical systems and ergodic theory (37-XX) 10 Partial differential equations (35-XX) 10 Mechanics of deformable solids (74-XX) 8 Operations research, mathematical programming (90-XX) 8 Biology and other natural sciences (92-XX) 6 Statistics (62-XX) 5 Mechanics of particles and systems (70-XX) 5 Fluid mechanics (76-XX) 4 Integral equations (45-XX) 4 Information and communication theory, circuits (94-XX) 3 Numerical analysis (65-XX) 3 Optics, electromagnetic theory (78-XX) 3 Systems theory; control (93-XX) 2 Number theory (11-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 137 Publications have been cited 1,240 times in 664 Documents Cited by ▼ Year ▼ Darboux theory of integrability in \(\mathbb C^n\) taking into account the multiplicity. Zbl 1163.34003Llibre, Jaume; Zhang, Xiang 56 2009 Bifurcation theory for finitely smooth planar autonomous differential systems. Zbl 1410.34116Han, Maoan; Sheng, Lijuan; Zhang, Xiang 49 2018 Invariant algebraic surfaces of the Lorenz system. Zbl 1059.34005Llibre, Jaume; Zhang, Xiang 44 2002 Polynomial first integrals for quasi-homogeneous polynomials differential systems. Zbl 1024.34001Llibre, Jaume; Zhang, Xiang 40 2002 Darboux theory of integrability for polynomial vector fields in taking into account the multiplicity at infinity. Zbl 1198.34054Llibre, Jaume; Zhang, Xiang 34 2009 Bifurcation of limit cycles from generalized homoclinic loops in planar piecewise smooth systems. Zbl 1301.34055Liang, Feng; Han, Maoan; Zhang, Xiang 33 2013 Equivalence of the Melnikov function method and the averaging method. Zbl 1377.34056Han, Maoan; Romanovski, Valery G.; Zhang, Xiang 32 2016 Analytic normalization of analytic integrable systems and the embedding flows. Zbl 1141.34004Zhang, Xiang 30 2008 Rational first integrals in the Darboux theory of integrability in \(\mathbb C^n\). Zbl 1190.34003Llibre, Jaume; Zhang, Xiang 28 2010 On the Darboux integrability of polynomial differential systems. Zbl 1266.34002Llibre, Jaume; Zhang, Xiang 27 2012 Invariant algebraic surfaces of the Rikitake system. Zbl 0967.34002Llibre, Jaume; Zhang, Xiang 26 2000 Local first integrals of differential systems and diffeomorphisms. Zbl 1043.37010Li, Weigu; Llibre, Jaume; Zhang, Xiang 25 2003 Darboux integrability and invariant algebraic curves for planar polynomial systems. Zbl 1012.34035Christopher, Colin; Llibre, Jaume; Pantazi, Chara; Zhang, Xiang 21 2002 Darboux polynomials and algebraic integrability of the Chen system. Zbl 1148.34001Lü, Tinghua; Zhang, Xiang 20 2007 The sliding bifurcations in planar piecewise smooth differential systems. Zbl 1290.34047Pi, Dingheng; Zhang, Xiang 19 2013 On the differentiability of first integrals of two dimensional flows. Zbl 1010.34023Li, Weigu; Llibre, Jaume; Nicolau, Marcel; Zhang, Xiang 18 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 18 2002 Averaging methods of arbitrary order, periodic solutions and integrability. Zbl 1336.34062Giné, Jaume; Llibre, Jaume; Wu, Kesheng; Zhang, Xiang 17 2016 Integrability of dynamical systems: algebra and analysis. Zbl 1373.37053Zhang, Xiang 17 2017 Analytic integrable systems: analytic normalization and embedding flows. Zbl 1335.34072Zhang, Xiang 17 2013 Hopf bifurcation in higher dimensional differential systems via the averaging method. Zbl 1171.34027Llibre, Jaume; Zhang, Xiang 17 2009 Canards, heteroclinic and homoclinic orbits for a slow-fast predator-prey model of generalized Holling type III. Zbl 1418.34103Wang, Cheng; Zhang, Xiang 16 2019 Liouvillian integrability of polynomial differential systems. Zbl 1331.34006Zhang, Xiang 16 2016 On the Hopf-zero bifurcation of the Michelson system. Zbl 1220.34070Llibre, Jaume; Zhang, Xiang 16 2011 The 16th Hilbert problem on algebraic limit cycles. Zbl 1365.34064Zhang, Xiang 16 2011 Limit cycles for discontinuous planar piecewise linear differential systems separated by one straight line and having a center. Zbl 1411.34030Llibre, Jaume; Zhang, Xiang 15 2018 Global structure of quaternion polynomial differential equations. Zbl 1251.34019Zhang, Xiang 15 2011 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 15 2003 Darboux polynomials and rational first integrals of the generalized Lorenz systems. Zbl 1246.34018Wu, Kesheng; Zhang, Xiang 15 2012 Dynamics of the Lorenz system having an invariant algebraic surface. Zbl 1152.81361Cao, Jinlong; Zhang, Xiang 15 2007 Darboux integrability of real polynomial vector fields on regular algebraic hypersurfaces. Zbl 1194.34050Zhang, Xiang; Llibre, Jaume 14 2002 Varieties of local integrability of analytic differential systems and their applications. Zbl 1305.34022Romanovski, Valery G.; Xia, Yonghui; Zhang, Xiang 14 2014 First integrals and normal forms for germs of analytic vector fields. Zbl 1166.34018Chen, Jian; Yi, Yingfei; Zhang, Xiang 14 2008 Limit cycle bifurcations near generalized homoclinic loop in piecewise smooth differential systems. Zbl 1334.37051Wei, Lijun; Zhang, Xiang 13 2016 On the number of limit cycles for some perturbed Hamiltonian polynomial systems. Zbl 0992.34021Llibre, Jaume; Zhang, Xiang 13 2001 One-dimensional quaternion homogeneous polynomial differential equations. Zbl 1223.34060Gasull, Armengol; Llibre, Jaume; Zhang, Xiang 13 2009 Limit cycles for discontinuous planar piecewise linear differential systems separated by an algebraic curve. Zbl 1414.34023Llibre, Jaume; Zhang, Xiang 12 2019 Local first integrals for systems of differential equations. Zbl 1055.34074Zhang, Xiang 12 2003 Center of planar quintic quasi-homogeneous polynomial differential systems. Zbl 1327.34054Tang, Yilei; Wang, Long; Zhang, Xiang 12 2015 Darboux integrability for the Rössler system. Zbl 1047.34002Llibre, Jaume; Zhang, Xiang 12 2002 A system of generalized Sylvester quaternion matrix equations and its applications. Zbl 1410.15037Zhang, Xiang 11 2016 Melnikov functions for period annulus, nondegenerate centers, heteroclinic and homoclinic cycles. Zbl 1052.37015Li, Weigu; Llibre, Jaume; Zhang, Xiang 11 2004 Global dynamics of the generalized Lorenz systems having invariant algebraic surfaces. Zbl 1338.37038Wu, Kesheng; Zhang, Xiang 11 2013 On the algebraic limit cycles of Liénard systems. Zbl 1158.34021Llibre, Jaume; Zhang, Xiang 11 2008 Averaging theory of arbitrary order for piecewise smooth differential systems and its application. Zbl 1387.34069Wei, Lijun; Zhang, Xiang 10 2018 Stability loss delay and smoothness of the return map in slow-fast systems. Zbl 1396.34042Wang, Cheng; Zhang, Xiang 10 2018 Generalized rational first integrals of analytic differential systems. Zbl 1232.34004Cong, Wang; Llibre, Jaume; Zhang, Xiang 10 2011 The hyperelliptic limit cycles of the Liénard systems. Zbl 1208.34038Yu, Xiaolan; Zhang, Xiang 10 2011 Invariant algebraic surfaces of the Rabinovich system. Zbl 1066.34027Xie, Feng; Zhang, Xiang 10 2003 The topological structure of the Rabinovich system having an invariant algebraic surface. Zbl 1141.34028Chen, Cheng; Cao, Jinlong; Zhang, Xiang 10 2008 Relaxation oscillations in a slow-fast modified Leslie-Gower model. Zbl 1433.34069Wang, Cheng; Zhang, Xiang 9 2019 Planar analytic vector fields with generalized rational first integrals. Zbl 1032.34029Li, Weigu; Llibre, Jaume; Zhang, Xiang 9 2001 On the sliding bifurcation of a class of planar Filippov systems. Zbl 1270.34088Pi, Dingheng; Yu, Jiang; Zhang, Xiang 9 2013 Vector fields with homogeneous nonlinearities and many limit cycles. Zbl 1326.34060Gasull, Armengol; Yu, Jiang; Zhang, Xiang 9 2015 Exponential factors and Darbouxian first integrals of the Lorenz system. Zbl 1060.34004Zhang, Xiang 8 2002 Eigenstrain based reduced order homogenization for polycrystalline materials. Zbl 1423.74796Zhang, Xiang; Oskay, Caglar 8 2015 The Chen system having an invariant algebraic surface. Zbl 1165.34357Cao, Jinlong; Chen, Cheng; Zhang, Xiang 8 2008 Nonuniform dichotomy spectrum and normal forms for nonautonomous differential systems. Zbl 1306.34083Zhang, Xiang 8 2014 The number of polynomial solutions of polynomial Riccati equations. Zbl 1359.34020Gasull, Armengol; Torregrosa, Joan; Zhang, Xiang 8 2016 The embedding flows of \(C^\infty\) hyperbolic diffeomorphisms. Zbl 1221.37101Zhang, Xiang 7 2011 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. 7 2015 Local Darboux first integrals of analytic differential systems. Zbl 1291.34068Llibre, Jaume; Walcher, Sebastian; Zhang, Xiang 7 2014 Integrals of motion of the Rabinovich system. Zbl 0962.34034Zhang, Xiang 7 2000 Invariant algebraic curves and rational first integrals of holomorphic foliations in \(\mathbb C P(2)\). Zbl 1217.37049Zhang, Xiang 7 2003 Exponential factors and Darboux integrability for the Rössler system. Zbl 1085.34505Zhang, Xiang 7 2004 Existence of limit cycles in a multiply-connected region. Zbl 0934.34023Zhang, Xiang 6 1999 Polynomial first integrals of quadratic systems. Zbl 1041.34018Llibre, Jaume; Zhang, Xiang 6 2001 On polynomial integrability of the Euler equations on \(\mathfrak{so}(4)\). Zbl 1325.34003Llibre, Jaume; Yu, Jiang; Zhang, Xiang 6 2015 The completely integrable differential systems are essentially linear differential systems. Zbl 1332.34004Llibre, Jaume; Valls, Claudia; Zhang, Xiang 6 2015 Study of a transition in the qualitative behavior of a simple oscillator with Coulomb friction. Zbl 1279.34064Pratt, Elaine; Léger, Alain; Zhang, Xiang 5 2013 On the analytic integrability of the 5-dimensional Lorenz system for the gravity-wave activity. Zbl 1287.34003Llibre, Jaume; Saghin, Radu; Zhang, Xiang 5 2014 Varieties and analytic normalizations of partially integrable systems. Zbl 1357.34072Du, Zengji; Romanovski, Valery G.; Zhang, Xiang 5 2016 Portfolio selection under DEA-based relative financial strength indicators: Case of US industries. Zbl 1153.90454Edirisinghe, N. C. P.; Zhang, X. 5 2008 Quadratic differential systems with complex conjugate invariant lines meeting at a finite point. Zbl 1393.37023Schlomiuk, Dana; Zhang, Xiang 5 2018 The period function of Hamiltonian systems with separable variables. Zbl 1451.37085Villadelprat, Jordi; Zhang, Xiang 4 2020 Normal form and limit cycle bifurcation of piecewise smooth differential systems with a center. Zbl 1344.34029Wei, Lijun; Zhang, Xiang 4 2016 Embedding diffeomorphisms in flows in Banach spaces. Zbl 1177.37026Zhang, Xiang 4 2009 On natural modes in moonpools and gaps in finite depth. Zbl 1419.76346Molin, Bernard; Zhang, X.; Huang, H.; Remy, F. 3 2018 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 Dynamics of a nonlinear equation modelling the capillary rise. Zbl 1415.34062Zhang, Xiang 3 2018 Sparse and scalable eigenstrain-based reduced order homogenization models for polycrystal plasticity. Zbl 1439.74328Zhang, Xiang; Oskay, Caglar 3 2017 Constructing likelihood functions for interval-valued random variables. Zbl 1444.62139Zhang, X.; Beranger, B.; Sisson, S. A. 3 2020 On the limit cycles of the polynomial differential systems with a linear node and homogeneous nonlinearities. Zbl 1296.34076Llibre, Jaume; Yu, Jiang; Zhang, Xiang 3 2014 Analytic normalization of analytically integrable differential systems near a periodic orbit. Zbl 1297.34055Wu, Kesheng; Zhang, Xiang 3 2014 An algorithm for solving the minimum-norm point problem over the intersection of a polytope and an affine set. Zbl 0986.90028Fujishige, S.; Liu, Xiaojun; Zhang, X. 3 2000 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 A note on local integrability of differential systems. Zbl 1385.34004Zhang, Xiang 3 2017 Limit cycles created by piecewise linear centers. Zbl 07067905Llibre, Jaume; Zhang, Xiang 2 2019 The non-existence, existence and uniqueness of limit cycles for quadratic polynomial differential systems. Zbl 1430.34039Llibre, Jaume; Zhang, Xiang 2 2019 Determination of the sign of divergence of a quadratic system at critical points. Zbl 0911.34024Zhang, Xiang 2 1997 Testing conditional mean independence for functional data. Zbl 1441.62108Lee, C. E.; Zhang, X.; Shao, X. 2 2020 Piecewise linear differential systems with an algebraic line of separation. Zbl 1440.34032Gasull, Armengol; Torregrosa, Joan; Zhang, Xiang 2 2020 Global \({C}^{\infty}\) integrability of cubic-linear polynomial differential systems. Zbl 1319.34009Pan, Yangyou; Wang, Cong; Zhang, Xiang 2 2014 Darboux integrability and algebraic limit cycles for a class of polynomial differential systems. Zbl 1308.34040Cao, Jinlong; Llibre, Jaume; Zhang, Xiang 2 2014 On the limit cycles of linear differential systems with homogeneous nonlinearities. Zbl 1337.34034Llibre, Jaume; Zhang, Xiang 2 2015 Liouvillian integrability versus Darboux polynomials. Zbl 1364.34016Llibre, Jaume; Valls, Claudia; Zhang, Xiang 2 2016 Ergodicity of limit cycles in quadratic systems. Zbl 0979.34025Zhang, Xiang 2 2001 Input/output selection in DEA under expert information, with application to financial markets. Zbl 1206.91019Edirisinghe, N. C. P.; Zhang, X. 2 2010 Invariant hyperplanes and Darboux integrability of polynomial vector fields. Zbl 1054.34062Zhang, Xiang 2 2002 Limit cycles and global dynamics of planar piecewise linear refracting systems of focus-focus type. Zbl 1457.34031Liang, Haihua; Li, Shimin; Zhang, Xiang 1 2021 Eighteen limit cycles around two symmetric foci in a cubic planar switching polynomial system. Zbl 1482.34099Yu, Pei; Han, Maoan; Zhang, Xiang 1 2021 Polynomial differential equations over the quaternions. Zbl 1466.34036Walcher, Sebastian; Zhang, Xiang 1 2021 Complex planar Hamiltonian systems: linearization and dynamics. Zbl 1478.37061Shi, Hua; Zhang, Xiang; Zhang, Yuyan 1 2021 Lubrication analysis of peristaltic motion in non-axisymmetric annular tubes. Zbl 07392412Coenen, W.; Zhang, X.; Sánchez, A. L. 1 2021 The period function of Hamiltonian systems with separable variables. Zbl 1451.37085Villadelprat, Jordi; Zhang, Xiang 4 2020 Constructing likelihood functions for interval-valued random variables. Zbl 1444.62139Zhang, X.; Beranger, B.; Sisson, S. A. 3 2020 Testing conditional mean independence for functional data. Zbl 1441.62108Lee, C. E.; Zhang, X.; Shao, X. 2 2020 Piecewise linear differential systems with an algebraic line of separation. Zbl 1440.34032Gasull, Armengol; Torregrosa, Joan; Zhang, Xiang 2 2020 Limit cycles bifurcating from periodic orbits near a centre and a homoclinic loop with a nilpotent singularity of Hamiltonian systems. Zbl 1444.34058Wei, Lijun; Zhang, Xiang 1 2020 Envelopes in multivariate regression models with nonlinearity and heteroscedasticity. Zbl 1457.62174Zhang, X.; Lee, C. E.; Shao, X. 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 16 2019 Limit cycles for discontinuous planar piecewise linear differential systems separated by an algebraic curve. Zbl 1414.34023Llibre, Jaume; Zhang, Xiang 12 2019 Relaxation oscillations in a slow-fast modified Leslie-Gower model. Zbl 1433.34069Wang, Cheng; Zhang, Xiang 9 2019 Limit cycles created by piecewise linear centers. Zbl 07067905Llibre, Jaume; Zhang, Xiang 2 2019 The non-existence, existence and uniqueness of limit cycles for quadratic polynomial differential systems. Zbl 1430.34039Llibre, Jaume; Zhang, Xiang 2 2019 The conducting ring viewed as a wormhole. Zbl 1421.78009Curtright, T.; Alshal, H.; Baral, P.; Huang, S.; Liu, J.; Tamang, K.; Zhang, X.; Zhang, Y. 1 2019 Tensor generalized estimating equations for longitudinal imaging analysis. Zbl 1432.62196Zhang, Xiang; Li, Lexin; Zhou, Hua; Zhou, Yeqing; Shen, Dinggang; ADNI 1 2019 Limit cycles of polynomial Liénard systems via the averaging method. Zbl 07030124Shi, Juanrong; Wang, Weixia; Zhang, Xiang 1 2019 IGFEM-based shape sensitivity analysis of the transverse failure of a composite laminate. Zbl 1464.74155Zhang, Xiang; Brandyberry, David R.; Geubelle, Philippe H. 1 2019 Bifurcation theory for finitely smooth planar autonomous differential systems. Zbl 1410.34116Han, Maoan; Sheng, Lijuan; Zhang, Xiang 49 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 15 2018 Averaging theory of arbitrary order for piecewise smooth differential systems and its application. Zbl 1387.34069Wei, Lijun; Zhang, Xiang 10 2018 Stability loss delay and smoothness of the return map in slow-fast systems. Zbl 1396.34042Wang, Cheng; Zhang, Xiang 10 2018 Quadratic differential systems with complex conjugate invariant lines meeting at a finite point. Zbl 1393.37023Schlomiuk, Dana; Zhang, Xiang 5 2018 On natural modes in moonpools and gaps in finite depth. Zbl 1419.76346Molin, Bernard; Zhang, X.; Huang, H.; Remy, F. 3 2018 Dynamics of a nonlinear equation modelling the capillary rise. Zbl 1415.34062Zhang, Xiang 3 2018 Integrability of dynamical systems: algebra and analysis. Zbl 1373.37053Zhang, Xiang 17 2017 Sparse and scalable eigenstrain-based reduced order homogenization models for polycrystal plasticity. Zbl 1439.74328Zhang, Xiang; Oskay, Caglar 3 2017 A note on local integrability of differential systems. Zbl 1385.34004Zhang, Xiang 3 2017 Generalized involutive symmetry and its application in integrability of differential systems. Zbl 1383.34056Wei, Lijun; Romanovski, Valery; Zhang, Xiang 2 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 2 2017 Equivalence of the Melnikov function method and the averaging method. Zbl 1377.34056Han, Maoan; Romanovski, Valery G.; Zhang, Xiang 32 2016 Averaging methods of arbitrary order, periodic solutions and integrability. Zbl 1336.34062Giné, Jaume; Llibre, Jaume; Wu, Kesheng; Zhang, Xiang 17 2016 Liouvillian integrability of polynomial differential systems. Zbl 1331.34006Zhang, Xiang 16 2016 Limit cycle bifurcations near generalized homoclinic loop in piecewise smooth differential systems. Zbl 1334.37051Wei, Lijun; Zhang, Xiang 13 2016 A system of generalized Sylvester quaternion matrix equations and its applications. Zbl 1410.15037Zhang, Xiang 11 2016 The number of polynomial solutions of polynomial Riccati equations. Zbl 1359.34020Gasull, Armengol; Torregrosa, Joan; Zhang, Xiang 8 2016 Varieties and analytic normalizations of partially integrable systems. Zbl 1357.34072Du, Zengji; Romanovski, Valery G.; Zhang, Xiang 5 2016 Normal form and limit cycle bifurcation of piecewise smooth differential systems with a center. Zbl 1344.34029Wei, Lijun; Zhang, Xiang 4 2016 Liouvillian integrability versus Darboux polynomials. Zbl 1364.34016Llibre, Jaume; Valls, Claudia; Zhang, Xiang 2 2016 Integrability of vector fields versus inverse Jacobian multipliers and normalizers. Zbl 1373.34003Weng, Shiliang; Zhang, Xiang 1 2016 Center of planar quintic quasi-homogeneous polynomial differential systems. Zbl 1327.34054Tang, Yilei; Wang, Long; Zhang, Xiang 12 2015 Vector fields with homogeneous nonlinearities and many limit cycles. Zbl 1326.34060Gasull, Armengol; Yu, Jiang; Zhang, Xiang 9 2015 Eigenstrain based reduced order homogenization for polycrystalline materials. Zbl 1423.74796Zhang, Xiang; Oskay, Caglar 8 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. 7 2015 On polynomial integrability of the Euler equations on \(\mathfrak{so}(4)\). Zbl 1325.34003Llibre, Jaume; Yu, Jiang; Zhang, Xiang 6 2015 The completely integrable differential systems are essentially linear differential systems. Zbl 1332.34004Llibre, Jaume; Valls, Claudia; Zhang, Xiang 6 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 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 14 2014 Nonuniform dichotomy spectrum and normal forms for nonautonomous differential systems. Zbl 1306.34083Zhang, Xiang 8 2014 Local Darboux first integrals of analytic differential systems. Zbl 1291.34068Llibre, Jaume; Walcher, Sebastian; Zhang, Xiang 7 2014 On the analytic integrability of the 5-dimensional Lorenz system for the gravity-wave activity. Zbl 1287.34003Llibre, Jaume; Saghin, Radu; Zhang, Xiang 5 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 3 2014 Analytic normalization of analytically integrable differential systems near a periodic orbit. Zbl 1297.34055Wu, Kesheng; Zhang, Xiang 3 2014 Global \({C}^{\infty}\) integrability of cubic-linear polynomial differential systems. Zbl 1319.34009Pan, Yangyou; Wang, Cong; Zhang, Xiang 2 2014 Darboux integrability and algebraic limit cycles for a class of polynomial differential systems. Zbl 1308.34040Cao, Jinlong; Llibre, Jaume; Zhang, Xiang 2 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 33 2013 The sliding bifurcations in planar piecewise smooth differential systems. Zbl 1290.34047Pi, Dingheng; Zhang, Xiang 19 2013 Analytic integrable systems: analytic normalization and embedding flows. Zbl 1335.34072Zhang, Xiang 17 2013 Global dynamics of the generalized Lorenz systems having invariant algebraic surfaces. Zbl 1338.37038Wu, Kesheng; Zhang, Xiang 11 2013 On the sliding bifurcation of a class of planar Filippov systems. Zbl 1270.34088Pi, Dingheng; Yu, Jiang; Zhang, Xiang 9 2013 Study of a transition in the qualitative behavior of a simple oscillator with Coulomb friction. Zbl 1279.34064Pratt, Elaine; Léger, Alain; Zhang, Xiang 5 2013 Comment on “On the polynomial integrability of the Kirchhoff equations”. Zbl 1267.34005Zhang, Xiang 1 2013 Algebraic aspects of integrability for polynomial differential systems. Zbl 1295.34001Pan, Yangyou; Zhang, Xiang 1 2013 On the Darboux integrability of polynomial differential systems. Zbl 1266.34002Llibre, Jaume; Zhang, Xiang 27 2012 Darboux polynomials and rational first integrals of the generalized Lorenz systems. Zbl 1246.34018Wu, Kesheng; Zhang, Xiang 15 2012 On the Hopf-zero bifurcation of the Michelson system. Zbl 1220.34070Llibre, Jaume; Zhang, Xiang 16 2011 The 16th Hilbert problem on algebraic limit cycles. Zbl 1365.34064Zhang, Xiang 16 2011 Global structure of quaternion polynomial differential equations. Zbl 1251.34019Zhang, Xiang 15 2011 Generalized rational first integrals of analytic differential systems. Zbl 1232.34004Cong, Wang; Llibre, Jaume; Zhang, Xiang 10 2011 The hyperelliptic limit cycles of the Liénard systems. Zbl 1208.34038Yu, Xiaolan; Zhang, Xiang 10 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 28 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 Limit cycles for a class of third-order differential equations. Zbl 1196.37087Llibre, Jaume; Yu, Jiang; Zhang, Xiang 1 2010 Integrable natural Hamiltonian systems on the suspensions of toric automorphism. Zbl 1202.37019Liu, Fei; Zhang, Xiang 1 2010 Darboux theory of integrability in \(\mathbb C^n\) taking into account the multiplicity. Zbl 1163.34003Llibre, Jaume; Zhang, Xiang 56 2009 Darboux theory of integrability for polynomial vector fields in taking into account the multiplicity at infinity. Zbl 1198.34054Llibre, Jaume; Zhang, Xiang 34 2009 Hopf bifurcation in higher dimensional differential systems via the averaging method. Zbl 1171.34027Llibre, Jaume; Zhang, Xiang 17 2009 One-dimensional quaternion homogeneous polynomial differential equations. Zbl 1223.34060Gasull, Armengol; Llibre, Jaume; Zhang, Xiang 13 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 30 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 11 2008 The topological structure of the Rabinovich system having an invariant algebraic surface. Zbl 1141.34028Chen, Cheng; Cao, Jinlong; Zhang, Xiang 10 2008 The Chen system having an invariant algebraic surface. Zbl 1165.34357Cao, Jinlong; Chen, Cheng; Zhang, Xiang 8 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 20 2007 Dynamics of the Lorenz system having an invariant algebraic surface. Zbl 1152.81361Cao, Jinlong; Zhang, Xiang 15 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 11 2004 Exponential factors and Darboux integrability for the Rössler system. Zbl 1085.34505Zhang, Xiang 7 2004 ...and 37 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 594 Authors 172 Llibre, Jaume 80 Valls Anglés, Cláudia 68 Zhang, Xiang 43 Han, Maoan 23 Giné, Jaume 20 Algaba, Antonio 15 Pantazi, Chara 13 Romanovski, Valery G. 11 Ferragut, Antoni 11 Shi, Shaoyun 11 Xia, Yonghui 10 García, Cristóbal 10 García, Isaac A. 10 Merino, Manuel 10 Messias, Marcelo 10 Rodríguez-Luis, Alejandro J. 10 Xiong, Yanqin 9 Huang, Jianfeng 9 Li, Shimin 9 Liang, Haihua 9 Oliveira, Regilene D. S. 9 Zhao, Liqin 8 Gasull, Armengol 8 Liu, Changjian 8 Walcher, Sebastian 8 Wei, Zhouchao 8 Yang, Junmin 8 Yu, Jiang 7 Demina, Maria V. 7 Fernández-Sánchez, Fernando 7 Huang, Chengdai 7 Wei, Lijun 7 Yang, Jiazhong 6 Li, Tao 6 Ma, Changfeng 6 Novaes, Douglas Duarte 6 Ramírez, Rafael O. 6 Wang, Lei 6 Yang, Jihua 6 Yang, Xiaosong 6 Zhao, Yulin 5 Buzzi, Claudio Aguinaldo 5 Cao, Jinlong 5 Chèze, Guillaume 5 Christopher, Colin J. 5 García, Belén 5 Giacomini, Hector J. 5 Hu, Zhaoping 5 Huang, Kaiyin 5 Li, Weigu 5 Li, Wenlei 5 Liang, Feng 5 Pérez del Río, Jesús S. 5 Reyes, Manuel 5 Sadovskaia, Natalia 5 Sheng, Lijuan 5 Tang, Yilei 5 Tian, Yuzhou 5 Xu, Zhiguo 4 Aziz, Waleed 4 Bai, Yuzhen 4 Benterki, Rebiha 4 Cao, Jinde 4 Chen, Hebai 4 Chen, Xingwu 4 Huang, Lihong 4 Lăzureanu, Cristian 4 Li, Chengliang 4 Li, Feng 4 Li, Jibin 4 Pi, Dingheng 4 Reinol, Alisson C. 4 Teixeira, Marco Antonio 4 Torregrosa, Joan 4 Vulpe, Nicolae I. 4 Wang, Jiafu 4 Wu, Hao 4 Xiao, Min 4 Yu, Pei 3 Bolaños, Yudy 3 Buică, Adriana 3 Chavarriga, Javier 3 Chen, Aiyong 3 Corrêa Barros, Maurício Jun. 3 Da Silva, Paulo Ricardo 3 Du, Zhengdong 3 Freire Macías, Emilio 3 Gamero, Estanislao 3 Hu, Yanxia 3 Huan, Songmei 3 Huang, Bo 3 Kruff, Niclas 3 Li, Xianyi 3 Li, Xinli 3 Liu, Shanshan 3 Liu, Yongjian 3 Lombardero, Antón 3 Mahdi, Adam 3 Makhlouf, Ammar 3 Maza, Susanna ...and 494 more Authors all top 5 Cited in 125 Serials 94 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 69 Journal of Differential Equations 47 Qualitative Theory of Dynamical Systems 41 Journal of Mathematical Analysis and Applications 23 Bulletin des Sciences Mathématiques 17 Journal of Mathematical Physics 17 Nonlinear Dynamics 15 Chaos, Solitons and Fractals 14 Discrete and Continuous Dynamical Systems. Series B 14 Journal of Applied Analysis and Computation 13 Applied Mathematics and Computation 13 Journal of Dynamics and Differential Equations 13 Nonlinear Analysis. Real World Applications 12 Advances in Difference Equations 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Discrete and Continuous Dynamical Systems 10 Applied Mathematics Letters 9 Physica D 9 Acta Mathematica Sinica. English Series 8 Journal of Geometry and Physics 8 Dynamical Systems 7 Rendiconti del Circolo Matemàtico di Palermo. Serie II 7 Communications in Nonlinear Science and Numerical Simulation 6 Journal of Nonlinear Mathematical Physics 5 Rocky Mountain Journal of Mathematics 5 Journal of Computational and Applied Mathematics 5 Proceedings of the American Mathematical Society 5 Chaos 5 Nonlinear Analysis. Hybrid Systems 3 Computers & Mathematics with Applications 3 Physics Letters. A 3 Acta Applicandae Mathematicae 3 Journal of Symbolic Computation 3 Mathematical Problems in Engineering 3 Mathematical Physics, Analysis and Geometry 3 Regular and Chaotic Dynamics 3 Journal of Dynamical and Control Systems 3 Communications in Contemporary Mathematics 3 Journal of Systems Science and Complexity 3 Communications on Pure and Applied Analysis 3 International Journal of Geometric Methods in Modern Physics 3 Mediterranean Journal of Mathematics 3 Advances in Mathematical Physics 3 Science China. Mathematics 3 Journal of Function Spaces 2 Journal of Pure and Applied Algebra 2 Mathematische Zeitschrift 2 Ergodic Theory and Dynamical Systems 2 European Journal of Applied Mathematics 2 Expositiones Mathematicae 2 Electronic Journal of Differential Equations (EJDE) 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of Difference Equations and Applications 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Advanced Nonlinear Studies 2 SIAM Journal on Applied Dynamical Systems 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Journal of Siberian Federal University. Mathematics & Physics 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Classical and Quantum Gravity 1 Computers and Fluids 1 Communications in Mathematical Physics 1 Journal of the Franklin Institute 1 Mathematical Methods in the Applied Sciences 1 Physica A 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 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 The Journal of Geometric Analysis 1 Applications of Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Statistics. Theory and Methods 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Nonlinear Science 1 Tatra Mountains Mathematical Publications 1 Topological Methods in Nonlinear Analysis 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Advances in Applied Clifford Algebras 1 Journal of Lie Theory 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Integral Transforms and Special Functions 1 The Ramanujan Journal 1 Differential Equations and Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Abstract and Applied Analysis ...and 25 more Serials all top 5 Cited in 40 Fields 566 Ordinary differential equations (34-XX) 243 Dynamical systems and ergodic theory (37-XX) 29 Mechanics of particles and systems (70-XX) 26 Biology and other natural sciences (92-XX) 18 Partial differential equations (35-XX) 11 Systems theory; control (93-XX) 10 Numerical analysis (65-XX) 9 Difference and functional equations (39-XX) 6 Operator theory (47-XX) 6 Computer science (68-XX) 6 Relativity and gravitational theory (83-XX) 5 Field theory and polynomials (12-XX) 5 Algebraic geometry (14-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Geophysics (86-XX) 4 Commutative algebra (13-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Special functions (33-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Number theory (11-XX) 3 Nonassociative rings and algebras (17-XX) 3 Group theory and generalizations (20-XX) 3 Functions of a complex variable (30-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Optics, electromagnetic theory (78-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 2 Astronomy and astrophysics (85-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral equations (45-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Citations by Year