Edit Profile (opens in new tab) Han, Maoan Co-Author Distance Author ID: han.maoan Published as: Han, Maoan; Han, M.; Han, Mao’an; Han, Mao An; Han, M. A.; Han, Mao-an; Han, Mao-An; Han, Manao more...less External Links: dblp · GND Documents Indexed: 443 Publications since 1984, including 3 Books 1 Contribution as Editor Reviewing Activity: 20 Reviews Co-Authors: 203 Co-Authors with 388 Joint Publications 8,347 Co-Co-Authors all top 5 Co-Authors 55 single-authored 32 Yu, Pei 24 Yang, Junmin 20 Romanovskiĭ, Valeriĭ Georgievich 19 Zhang, Tonghua 17 Xiong, Yanqin 15 Zang, Hong 12 Wu, Yuhai 11 Ding, Wei 10 Bi, Ping 10 Jiang, Katie 10 Li, Jibin 10 Zhu, Deming 9 Liang, Feng 9 Sheng, Lijuan 9 Song, Yongli 9 Xia, Yonghui 9 Xiao, Dongmei 8 Sun, Chengjun 7 Jiang, Jiao 7 Tian, Yun 6 Ke, Ai 6 Li, Weinian 6 Lin, Yiping 6 Liu, Shanshan 6 Liu, Xuanliang 6 Luo, Dingjun 6 Shang, Desheng 6 Yuan, Sanling 5 Cai, Meilan 5 Xie, Feng 5 Zhang, Weijiang 4 Chen, Fengde 4 Chen, Xianfeng 4 Huang, Wenzhang 4 Huang, Zhenkun 4 Li, Zhong 4 Ma, Zhien 4 Peng, Daheng 4 Tian, Huanhuan 4 Wang, Zheng 4 Xing, Yepeng 4 Zhang, Lijun 4 Zhang, Xiang 3 Chen, Guanrong 3 Chen, Xiaoyan 3 Cui, Baotong 3 Hu, Zhaoping 3 Li, Lianzhong 3 Li, Meili 3 Li, Na 3 Liu, Xia 3 Liu, Yuanyuan 3 Meng, Fanwei 3 Shen, Jianhe 3 Shi, Yixia 3 Sun, Xianbo 3 Wang, Xiangrong 3 Wang, Yanqin 3 Wei, Junjie 3 Xiang, Guanghui 3 Xu, Bing 3 Ye, Zhiyong 3 Zhen, Jin 3 Zhuo, Xianglai 2 An, Yulian 2 Bai, Yuzhen 2 Chang, Guifeng 2 Chen, Fengjuan 2 Chen, Jiangbin 2 Gao, Yongxi 2 Geng, Wei 2 Gong, Shuhua 2 Gu, Shengshi 2 Huang, Wentao 2 Khalique, Chaudry Masood 2 Lhotka, Christoph 2 Li, Liangying 2 Liu, Chao 2 Liu, Wenye 2 Liu, Xingbo 2 Ma, Hongyan 2 Mi, Junrong 2 Peng, Yahong 2 Qian, Tifei 2 Su, Jing 2 Wang, Chaoyang 2 Wang, Na 2 Xie, Shenglan 2 Xu, Jianhua 2 Xu, Weijiao 2 Ye, Yanqian 2 Zhang, Jizhou 2 Zhang, Qian 2 Zhu, Huaiping 1 Ahmad, Haroon 1 Balanov, Zalman I. 1 Basov, Vladimir Vladmirovich 1 Boulier, François 1 Cao, Jinde 1 Chen, Hebai ...and 103 more Co-Authors all top 5 Serials 56 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 37 Chaos, Solitons and Fractals 34 Journal of Differential Equations 26 Journal of Mathematical Analysis and Applications 15 Applied Mathematics and Computation 14 Chinese Annals of Mathematics. Series B 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Chinese Annals of Mathematics. Series A 11 Journal of Applied Analysis and Computation 10 Annals of Differential Equations 9 Acta Mathematica Sinica 9 Abstract and Applied Analysis 8 Science in China. Series A 7 Computers & Mathematics with Applications 7 Journal of Shanghai Jiaotong University (Chinese Edition) 7 Discrete and Continuous Dynamical Systems 6 Journal of Nanjing University. Mathematical Biquarterly 6 Bulletin des Sciences Mathématiques 6 Qualitative Theory of Dynamical Systems 6 Nonlinear Analysis. Real World Applications 5 Applied Mathematics Letters 5 Mathematica Applicata 5 Communications in Nonlinear Science and Numerical Simulation 5 Discrete and Continuous Dynamical Systems. Series S 4 Acta Mathematicae Applicatae Sinica 4 Acta Mathematica Sinica. New Series 4 Chinese Science Bulletin 4 Acta Mathematica Sinica. English Series 4 Communications on Pure and Applied Analysis 3 Physics Letters. A 3 Journal of Computational and Applied Mathematics 3 Physica D 3 Applied Mathematics. Series A (Chinese Edition) 3 Dynamics of Continuous, Discrete and Impulsive Systems 3 Discrete and Continuous Dynamical Systems. Series B 3 Acta Mathematica Scientia. Series A. (Chinese Edition) 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Mathematical Biosciences and Engineering 3 Science China. Mathematics 2 Mathematical Biosciences 2 Mathematical Methods in the Applied Sciences 2 Journal of Mathematical Research & Exposition 2 Applied Mathematics and Mechanics. (English Edition) 2 Journal of Systems Science and Mathematical Sciences 2 Acta Mathematicae Applicatae Sinica. English Series 2 Applied Mathematics 2 Computational and Applied Mathematics 2 Nonlinear Dynamics 2 Chaos 2 Advances in Difference Equations 2 Journal of Shanghai Jiaotong University (Science) 2 Nonlinear Analysis. Theory, Methods & Applications 1 Indian Journal of Pure & Applied Mathematics 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 Journal of Geometry and Physics 1 Programming and Computer Software 1 Journal of Nanjing University. Natural Sciences 1 Journal of Symbolic Computation 1 Northeastern Mathematical Journal 1 Journal of Biomathematics 1 Journal of Qufu Normal University. Natural Science 1 Mathematical and Computer Modelling 1 Asymptotic Analysis 1 Aequationes Mathematicae 1 Journal of Physics A: Mathematical and General 1 SIAM Journal on Applied Mathematics 1 Journal of Dynamics and Differential Equations 1 Indagationes Mathematicae. New Series 1 Journal of Nonlinear Science 1 The Canadian Applied Mathematics Quarterly 1 Applied Mathematics. Series B (English Edition) 1 Electronic Journal of Differential Equations (EJDE) 1 Communications on Applied Nonlinear Analysis 1 Journal of Mathematical Chemistry 1 Journal of Shanghai Jiaotong University (English Edition) 1 Journal of Inequalities and Applications 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Discrete Dynamics in Nature and Society 1 International Journal of Theoretical and Applied Finance 1 Journal of Mathematical Study 1 Journal of Dynamical and Control Systems 1 Progress in Natural Science 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Chinese Journal of Contemporary Mathematics 1 MATCH - Communications in Mathematical and in Computer Chemistry 1 Analysis and Applications (Singapore) 1 Applied Mathematical Sciences 1 World Scientific Advanced Series in Dynamical Systems 1 Mathematical Modelling of Natural Phenomena 1 International Journal of Biomathematics 1 Scientia Sinica. Mathematica 1 ISRN Mathematical Analysis 1 Journal of Shanghai Normal University. Natural Sciences all top 5 Fields 380 Ordinary differential equations (34-XX) 145 Dynamical systems and ergodic theory (37-XX) 50 Biology and other natural sciences (92-XX) 29 Partial differential equations (35-XX) 8 Integral equations (45-XX) 7 Difference and functional equations (39-XX) 6 Operator theory (47-XX) 5 Real functions (26-XX) 4 Mechanics of particles and systems (70-XX) 4 Systems theory; control (93-XX) 3 Numerical analysis (65-XX) 2 Commutative algebra (13-XX) 2 Fluid mechanics (76-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 362 Publications have been cited 5,519 times in 2,678 Documents Cited by ▼ Year ▼ On Hopf bifurcation in non-smooth planar systems. Zbl 1198.34059 Han, Maoan; Zhang, Weinian 203 2010 Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays. Zbl 1062.34079 Song, Yongli; Han, Maoan; Wei, Junjie 136 2005 Normal forms, Melnikov functions and bifurcations of limit cycles. Zbl 1252.37002 Han, Maoan; Yu, Pei 119 2012 Bifurcation of limit cycles by perturbing piecewise Hamiltonian systems. Zbl 1193.34082 Liu, Xia; Han, Maoan 114 2010 Dynamics in a ratio-dependent predator–prey model with predator harvesting. Zbl 1122.34035 Xiao, Dongmei; Li, Wenxia; Han, Maoan 107 2006 Limit cycles near homoclinic and heteroclinic loops. Zbl 1165.34016 Han, Maoan; Yang, Junmin; Tarţa, Alexandrina-Alina; Gao, Yang 87 2008 Bifurcation of limit cycles in piecewise smooth systems via Melnikov function. Zbl 1451.37073 Han, Maoan; Sheng, Lijuan 80 2015 Bifurcation theory and methods of dynamical systems. Zbl 0961.37015 Luo, Dingjun; Wang, Xian; Zhu, Deming; Han, Maoan 73 1997 Dynamics of an SIS reaction-diffusion epidemic model for disease transmission. Zbl 1190.35120 Huang, Wenzhang; Han, Maoan; Liu, Kaiyu 73 2010 Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system with a homoclinic loop. Zbl 1264.34073 Liang, Feng; Han, Maoan; Romanovski, Valery G. 73 2012 Stability and Hopf bifurcations in a competitive Lotka–Volterra system with two delays. Zbl 1067.34075 Song, Yongli; Han, Maoan; Peng, Yahong 71 2004 Hopf bifurcations for near-Hamiltonian systems. Zbl 1183.34054 Han, Maoan; Yang, Junmin; Yu, Pei 70 2009 The existence of periodic solutions of the \(n\)-species Lotka-Volterra competition systems with impulsive. Zbl 1058.92046 Zhen, Jin; Ma, Zhien; Han, Maoan 67 2004 Bifurcation theory for finitely smooth planar autonomous differential systems. Zbl 1410.34116 Han, Maoan; Sheng, Lijuan; Zhang, Xiang 64 2018 On Hopf cyclicity of planar systems. Zbl 1054.34052 Han, Maoan 61 2000 On the maximum number of periodic solutions of piecewise smooth periodic equations by average method. Zbl 1474.37050 Han, Maoan 60 2017 Small limit cycles bifurcating from fine focus points in cubic order \(Z_{2}\)-equivariant vector fields. Zbl 1067.34033 Yu, P.; Han, M. 60 2005 Lower bounds for the Hilbert number of polynomial systems. Zbl 1247.34047 Han, Maoan; Li, Jibin 58 2012 Lyapunov constants and Hopf cyclicity of Liénard systems. Zbl 0968.34029 Han, Maoan 56 1999 Limit cycles near generalized homoclinic and double homoclinic loops in piecewise smooth systems. Zbl 1281.34055 Liang, Feng; Han, Maoan 55 2012 Asymptotic expansions of Melnikov functions and limit cycle bifurcations. Zbl 1258.34054 Han, Maoan 54 2012 Non-linear determinacy of minimum wave speed for a Lotka-Volterra competition model. Zbl 1263.92047 Huang, Wenzhang; Han, Maoan 53 2011 Bifurcation of periodic orbits by perturbing high-dimensional piecewise smooth integrable systems. Zbl 1419.37052 Tian, Huanhuan; Han, Maoan 52 2017 Twelve limit cycles in a cubic case of the 16th Hilbert problem. Zbl 1092.34524 Yu, P.; Han, M. 51 2005 Limit cycle bifurcations by perturbing a cuspidal loop in a Hamiltonian system. Zbl 1168.34029 Han, Maoan; Zang, Hong; Yang, Junmin 49 2009 The persistence in a Lotka–Volterra competition systems with impulses. Zbl 1081.34045 Zhen, Jin; Han, Maoan; Li, Guihua 49 2005 Cyclicity of planar homoclinic loops and quadratic integrable systems. Zbl 0930.37035 Han, Maoan 48 1997 Equivalence of the Melnikov function method and the averaging method. Zbl 1377.34056 Han, Maoan; Romanovski, Valery G.; Zhang, Xiang 47 2016 Bifurcation of limit cycles from generalized homoclinic loops in planar piecewise smooth systems. Zbl 1301.34055 Liang, Feng; Han, Maoan; Zhang, Xiang 43 2013 New conditions on the existence and stability of periodic solution in Lotka-Volterra’s population system. Zbl 1181.92084 Xia, Yonghui; Han, Maoan 43 2009 On the number of limit cycles in double homoclinic bifurcations. Zbl 1013.34026 Han, Maoan; Chen, Jian 43 2000 On the stability of double homoclinic and heteroclinic cycles. Zbl 1035.34042 Han, Maoan; Hu, Shouchuan; Liu, Xingbo 43 2003 Periodic boundary value problems for the first order impulsive functional differential equations. Zbl 1081.34081 Ding, Wei; Mi, Junrong; Han, Maoan 40 2005 Twelve limit cycles in a cubic order planar system with \(Z_2\) symmetry. Zbl 1085.34028 Yu, P.; Han, M. 38 2004 Bifurcations of limit cycles for a cubic Hamiltonian system under quartic perturbations. Zbl 1060.37041 Zhang, Tonghua; Han, Maoan; Zang, Hong; Meng, Xinzhu 37 2004 Influence of feedback controls on an autonomous Lotka-Volterra competitive system with infinite delays. Zbl 1268.34147 Li, Zhong; Han, Maoan; Chen, Fengde 37 2013 Global bifurcation of limit cycles in a family of polynomial systems. Zbl 1050.34040 Xiang, Guanghui; Han, Maoan 37 2004 Hopf and homoclinic bifurcations for near-Hamiltonian systems. Zbl 1361.34037 Tian, Yun; Han, Maoan 35 2017 Initial value problem for first-order integro-differential equation of Volterra type on time scales. Zbl 1065.45005 Xing, Yepeng; Han, Maoan; Zheng, Guang 35 2005 Stability and Hopf bifurcation for an epidemic disease model with delay. Zbl 1165.34048 Sun, Chengjun; Lin, Yiping; Han, Maoan 34 2006 Periodic boundary value problem for the second order impulsive functional differential equations. Zbl 1064.34067 Ding, Wei; Han, Maoan 34 2004 Synchronization schemes for coupled identical Yang-Yang type fuzzy cellular neural networks. Zbl 1221.37227 Xia, Yonghui; Yang, Zijiang; Han, Maoan 32 2009 New lower bounds for the Hilbert number of polynomial systems of Liénard type. Zbl 1300.34069 Xiong, Yanqin; Han, Maoan 32 2014 Local and global Hopf bifurcation in a delayed hematopoiesis model. Zbl 1090.37547 Song, Yongli; Wei, Junjie; Han, Maoan 31 2004 Global stability of an SIRS epidemic model with delays. Zbl 1090.92044 Zhen, Jin; Ma, Zhien; Han, Maoan 31 2006 On the number of limit cycles of polynomial Liénard systems. Zbl 1269.34037 Han, Maoan; Romanovski, Valery G. 31 2013 A new analytical method for the linearization of dynamic equation on measure chains. Zbl 1126.34030 Xia, Yonghui; Cao, Jinde; Han, Maoan 31 2007 On the limit cycles of perturbed discontinuous planar systems with 4 switching lines. Zbl 1355.34036 Wang, Yanqin; Han, Maoan; Constantinescu, Dana 30 2016 Bifurcation of limit cycles from a heteroclinic loop with a cusp. Zbl 1218.34045 Sun, Xianbo; Han, Maoan; Yang, Junmin 30 2011 Bifurcations of invariant tori and subharmonic solutions for periodic perturbed systems. Zbl 0823.34042 Han, Maoan 29 1994 Synchronization of delayed fuzzy cellular neural networks based on adaptive control. Zbl 1221.94094 Ding, Wei; Han, Maoan 29 2008 Bifurcations of limit cycles in a cubic system. Zbl 1048.34069 Zhang, Tonghua; Zang, Hong; Han, Maoan 29 2004 Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle. Zbl 1258.34078 Han, Maoan; Yang, Junmin; Xiao, Dongmei 28 2012 On Melnikov functions of a homoclinic loop through a nilpotent saddle for planar near-Hamiltonian systems. Zbl 1155.34026 Zang, Hong; Han, Maoan; Xiao, Dongmei 27 2008 Limit cycle bifurcations of some Liénard systems. Zbl 1200.34036 Yang, Junmin; Han, Maoan; Romanovski, Valery G. 27 2010 Limit cycle bifurcations of some Liénard systems with a cuspidal loop and a homoclinic loop. Zbl 1231.34056 Yang, Junmin; Han, Maoan 27 2011 Periodic boundary value problem for the second-order impulsive functional differential equations. Zbl 1095.34042 Ding, Wei; Han, Maoan; Mi, Junrong 27 2005 Theory of rotated equations and applications to a population model. Zbl 1396.37026 Han, Maoan; Hou, Xiaoyan; Sheng, Lijuan; Wang, Chaoyang 27 2018 Global qualitative analysis for a predator-prey system with delay. Zbl 1145.34042 Sun, Chengjun; Han, Maoan; Lin, Yiping; Chen, Yuanyuan 26 2007 Four limit cycles from perturbing quadratic integrable systems by quadratic polynomials. Zbl 1258.34062 Yu, Pei; Han, Maoan 26 2012 Anti-periodic boundary value problems for first order impulsive functional differential equations. Zbl 1124.34039 Ding, Wei; Xing, Yepeng; Han, Maoan 26 2007 Cyclicity 1 and 2 conditions for a 2-polycycle of integrable systems on the plane. Zbl 0935.34022 Han, Maoan; Zhang, Zhifen 25 1999 Limit cycles in generalized Liénard systems. Zbl 1142.34326 Yu, P.; Han, M. 25 2006 Exponential \(p\)-stability of delayed Cohen-Grossberg-type BAM neural networks with impulses. Zbl 1146.34329 Xia, Yonghui; Huang, Zhenkun; Han, Maoan 25 2008 Global bifurcation of limit cycles in a family of multiparameter systems. Zbl 1070.34066 Xiang, Guanghui; Han, Maoan 25 2004 A study on the existence of limit cycles of a planar system with third-degree polynomials. Zbl 1078.34017 Han, M.; Lin, Y.; Yu, P. 25 2004 Limit cycle bifurcations in a class of near-Hamiltonian systems with multiple parameters. Zbl 1354.34062 Han, Maoan; Xiong, Yanqin 24 2014 Existence and globally exponential stability of equilibrium for BAM neural networks with impulses. Zbl 1144.34347 Xia, Yonghui; Huang, Zhenkun; Han, Maoan 24 2008 Dynamical analysis of a stochastic model for cascaded continuous flow bioreactors. Zbl 1314.92061 Zhang, Tonghua; Chen, Zhenzhen; Han, Maoan 23 2014 Limit cycle bifurcations in a class of perturbed piecewise smooth systems. Zbl 1334.37052 Xiong, Yanqin; Han, Maoan 23 2014 Chaos and Hopf bifurcation analysis for a two species predator-prey system with prey refuge and diffusion. Zbl 1222.34099 Liu, Xia; Han, Maoan 23 2011 Some new delay integral inequalities and their applications. Zbl 1067.26019 Li, Wei Nian; Han, Maoan; Meng, Fan Wei 23 2005 Global stability of a stage-structured predator-prey model with modified Leslie-Gower and Holling-type II schemes. Zbl 1297.92066 Li, Zhong; Han, Maoan; Chen, Fengde 22 2012 The effects of the singular lines on the traveling wave solutions of modified dispersive water wave equations. Zbl 1409.35051 Han, Maoan; Zhang, Lijun; Wang, Yue; Khalique, Chaudry Masood 22 2019 Limit cycle bifurcations in near-Hamiltonian systems by perturbing a nilpotent center. Zbl 1165.34333 Han, Maoan; Jiang, Jiao; Zhu, Huaiping 22 2008 The loop quantities and bifurcations of homoclinic loops. Zbl 1120.34032 Han, Maoan; Zhu, Huaiping 22 2007 Bifurcation methods of periodic orbits for piecewise smooth systems. Zbl 1461.34028 Liu, Shanshan; Han, Maoan; Li, Jibin 22 2021 Travelling wavefronts in the diffusive single species model with Allee effect and distributed delay. Zbl 1041.92027 Song, Yongli; Peng, Yahong; Han, Maoan 22 2004 A new approach to stability of impulsive functional differential equations. Zbl 1057.34103 Xing, Yepeng; Han, Maoan 21 2004 Global stability of a predator-prey system with stage structure and mutual interference. Zbl 1287.34071 Li, Zhong; Han, Maoan; Chen, Fengde 20 2014 Bifurcations of periodic orbits, subharmonic solutions and invariant tori of high-dimensional systems. Zbl 0922.34035 Han, Maoan; Jiang, Katie; Green, David jun. 20 1999 Four small limit cycles around a Hopf singular point in 3-dimensional competitive Lotka-Volterra systems. Zbl 1334.34072 Yu, Pei; Han, Maoan; Xiao, Dongmei 20 2016 Hopf bifurcation for nonsmooth Liénard systems. Zbl 1176.34047 Liu, Xia; Han, Maoan 20 2009 On the number of limit cycles in near-Hamiltonian polynomial systems. Zbl 1157.34025 Han, Maoan; Chen, Guanrong; Sun, Chengjun 20 2007 On Hopf bifurcations of piecewise planar Hamiltonian systems. Zbl 1222.34042 Yang, Junmin; Han, Maoan; Huang, Wenzhang 20 2011 Analysis of stability and Hopf bifurcation for a delayed logistic equation. Zbl 1336.34101 Sun, Chengjun; Han, Maoan; Lin, Yiping 19 2007 Exponential lag synchronization of delayed fuzzy cellular neural networks with impulses. Zbl 1228.34075 Ding, Wei; Han, Maoan; Li, Meili 19 2009 On the number and distribution of limit cycles in a cubic system. Zbl 1090.34025 Han, Maoan; Zhang, Tonghua; Zang, Hong 19 2004 Existence of almost periodic solutions for forced perturbed systems with piecewise constant argument. Zbl 1124.34045 Xia, Yonghui; Huang, Zhenkun; Han, Maoan 19 2007 Competition in the chemostat: convergence of a model with delayed response in growth. Zbl 1036.92037 Yuan, Sanling; Han, Maoan; Ma, Zhien 19 2003 On the coefficients appearing in the expansion of Mel’nikov functions in homoclinic bifurcations. Zbl 0968.34028 Han, Maoan; Ye, Yanqian 19 1998 Existence of periodic orbits and invariant tori in codimension two and bifurcations of three-dimensional systems. Zbl 0934.34030 Han, Maoan 18 1998 Ten limit cycles around a center-type singular point in a 3-d quadratic system with quadratic perturbation. Zbl 1336.34051 Yu, Pei; Han, Maoan 18 2015 Small-amplitude limit cycles of polynomial Liénard systems. Zbl 1355.34068 Han, Maoan; Tian, Yun; Yu, Pei 18 2013 Some bifurcation methods of finding limit cycles. Zbl 1136.34307 Han, Maoan; Zhang, Tonghua 18 2006 Normal forms of integrable systems at a resonant saddle. Zbl 0967.34032 Han, Maoan; Jiang, Katie 18 1998 Limit cycle bifurcations near homoclinic and heteroclinic loops via stability-changing of a homoclinic loop. Zbl 1353.34039 Xiong, Yanqin; Han, Maoan 17 2015 Upper estimates for the number of periodic solutions to multi-dimensional systems. Zbl 1459.34103 Han, Maoan; Sun, Hao; Balanov, Zalman 17 2019 Bifurcations of small limit cycles in Liénard systems with cubic restoring terms. Zbl 1459.34098 Tian, Yun; Han, Maoan; Xu, Fangfang 17 2019 Hopf bifurcation for two types of Liénard systems. Zbl 1228.34059 Tian, Yun; Han, Maoan 17 2011 Some properties of Melnikov functions near a cuspidal loop. Zbl 07827579 Yang, Junmin; Han, Maoan 2 2024 Bifurcation theory of limit cycles by higher order Melnikov functions and applications. Zbl 07869051 Liu, Shanshan; Han, Maoan 1 2024 Limit cycle bifurcations near a double 2-polycycle on the cylinder. Zbl 1533.34034 Cai, Meilan; Han, Maoan 1 2024 General study on limit cycle bifurcation near a double homoclinic loop. Zbl 1516.34068 Han, Maoan; Yang, Junmin; Li, Jibin 4 2023 Computation and convergence of fixed points in graphical spaces with an application to elastic beam deformations. Zbl 1541.65036 Younis, Mudasir; Ahmad, Haroon; Chen, Lili; Han, Maoan 4 2023 Limit cycle bifurcations of near-Hamiltonian systems with multiple switching curves and applications. Zbl 1521.37056 Liu, Wenye; Han, Maoan 3 2023 Existence of periodic waves in a perturbed generalized BBM equation. Zbl 1544.35084 Dai, Yanfei; Wei, Minzhi; Han, Maoan 2 2023 Heteroclinic bifurcation of limit cycles in perturbed cubic Hamiltonian systems by higher-order analysis. Zbl 1520.34034 Geng, Wei; Han, Maoan; Tian, Yun; Ke, Ai 1 2023 Bifurcation of limit cycles by perturbing piecewise linear Hamiltonian systems with piecewise polynomials. Zbl 1544.37046 Chen, Jiangbin; Han, Maoan 1 2023 On the number of limit cycles of a class of Liénard-Rayleigh oscillators. Zbl 1514.34056 Yuan, Zhen; Ke, Ai; Han, Maoan 5 2022 An estimate of the number of limit cycles bifurcating from a planar integrable system. Zbl 1498.37082 Gong, Shuhua; Han, Maoan 4 2022 Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system. Zbl 1525.34041 Chen, Jiangbin; Han, Maoan 3 2022 Planar integrable nonlinear oscillators having a stable limit cycle. Zbl 07885978 Jibin, Li; Han, Maoan 2 2022 The number of limit cycles for a class of cubic systems with multiple parameters. Zbl 1504.34081 Cai, Meilan; Han, Maoan 2 2022 The number of limit cycles from the perturbation of a quadratic isochronous system with two switching lines. Zbl 1537.34050 Ke, Ai; Han, Maoan; Geng, Wei 2 2022 Periodic peakons and compacton families of the Hirota-type peakon equation. Zbl 1541.35457 Han, Maoan; Chen, Guanrong; Li, Jibin 1 2022 Bifurcation methods of periodic orbits for piecewise smooth systems. Zbl 1461.34028 Liu, Shanshan; Han, Maoan; Li, Jibin 22 2021 Eighteen limit cycles around two symmetric foci in a cubic planar switching polynomial system. Zbl 1482.34099 Yu, Pei; Han, Maoan; Zhang, Xiang 9 2021 Limit cycle bifurcations of piecewise smooth near-Hamiltonian systems with a switching curve. Zbl 1486.37031 Tian, Huanhuan; Han, Maoan 9 2021 Homoclinic bifurcation of limit cycles in near-Hamiltonian systems on the cylinder. Zbl 1517.34052 Shi, Yixia; Han, Maoan; Zhang, Lijun 8 2021 Number of limit cycles from a class of perturbed piecewise polynomial systems. Zbl 1512.34072 Chen, Xiaoyan; Han, Maoan 5 2021 The maximal number of limit cycles bifurcating from a Hamiltonian triangle in quadratic systems. Zbl 1466.34033 Xiong, Yanqin; Han, Maoan; Xiao, Dongmei 5 2021 On the Melnikov functions and limit cycles near a double homoclinic loop with a nilpotent saddle of order \(\hat{m} \). Zbl 1471.37055 Yang, Junmin; Yu, Pei; Han, Maoan 4 2021 Limit cycles appearing from a generalized heteroclinic loop with a cusp and a nilpotent saddle. Zbl 1489.34051 Xiong, Yanqin; Han, Maoan 3 2021 Limit cycle bifurcations in a class of piecewise smooth cubic systems with multiple parameters. Zbl 1465.34036 Cai, Meilan; Han, Maoan 3 2021 Bifurcation of limit cycles in a piecewise smooth near-integrable system. Zbl 1483.34055 Tian, Yun; Shang, Xinyu; Han, Maoan 2 2021 Limit cycle bifurcations of a planar near-integrable system with two small parameters. Zbl 1513.34149 Liang, Feng; Han, Maoan; Jiang, Chaoyuan 2 2021 Limit cycles from perturbing a piecewise smooth system with a center and a homoclinic loop. Zbl 1489.34050 Ke, Ai; Han, Maoan 1 2021 On the number of limit cycles of a quartic polynomial system. Zbl 1485.34101 Li, Min; Han, Maoan 1 2021 Limit cycle bifurcations in discontinuous planar systems with multiple lines. Zbl 1457.34050 Xiong, Yanqin; Han, Maoan 15 2020 A new type of solitary wave solution of the mKdV equation under singular perturbations. Zbl 1451.35178 Zhang, Lijun; Han, Maoan; Zhang, Mingji; Khalique, Chaudry Masood 14 2020 Hopf bifurcation of limit cycles by perturbing piecewise integrable systems. Zbl 1448.34080 Han, Maoan; Lu, Wen 11 2020 A linear estimate of the number of limit cycles for a piecewise smooth near-Hamiltonian system. Zbl 1455.34037 Chen, Xiaoyan; Han, Maoan 10 2020 Further studies on limit cycle bifurcations for piecewise smooth near-Hamiltonian systems with multiple parameters. Zbl 1455.37045 Han, Maoan; Liu, Shanshan 8 2020 Bifurcation of limit cycles in a family of piecewise smooth systems via averaging theory. Zbl 1479.37050 Liu, Shanshan; Han, Maoan 6 2020 Bifurcation of periodic orbits of periodic equations with multiple parameters by averaging method. Zbl 1450.34028 Sheng, Lijuan; Wang, Shanshan; Li, Xueli; Han, Maoan 6 2020 On the number of limit cycles bifurcating from a compound polycycle. Zbl 1451.34034 Sheng, Lijuan; Han, Maoan; Tian, Yun 6 2020 Exact peakon solutions given by the generalized hyperbolic functions for some nonlinear wave equations. Zbl 1459.35069 Li, Jibin; Han, Maoan 6 2020 Limit cycle bifurcations in a planar piecewise quadratic system with multiple parameters. Zbl 1485.34097 Gong, Shuhua; Han, Maoan 5 2020 Limit cycle bifurcations by perturbing a class of planar quintic vector fields. Zbl 1454.34057 Xiong, Yanqin; Han, Maoan 3 2020 On the maximum number of limit cycles for a piecewise smooth differential system. Zbl 1459.34086 Shi, Hongwei; Bai, Yuzhen; Han, Maoan 2 2020 Smooth and singular traveling wave solutions for the Serre-Green-Naghdi equations. Zbl 1455.35041 Zhang, Lijun; Shi, Yixia; Han, Maoan 2 2020 Existence of generalized homoclinic solutions for a modified Swift-Hohenberg equation. Zbl 1469.34061 Shi, Yixia; Han, Maoan 1 2020 The dynamics of a kind of Liénard system with sixth degree and its limit cycle bifurcations under perturbations. Zbl 1447.34032 Han, Maoan; Yang, Junmin 1 2020 Multiple recurrent outbreak cycles in an autonomous epidemiological model due to multiple limit cycle bifurcation. Zbl 1460.92227 Yu, Pei; Han, Maoan; Zhang, Wenjing 1 2020 The effects of the singular lines on the traveling wave solutions of modified dispersive water wave equations. Zbl 1409.35051 Han, Maoan; Zhang, Lijun; Wang, Yue; Khalique, Chaudry Masood 22 2019 Upper estimates for the number of periodic solutions to multi-dimensional systems. Zbl 1459.34103 Han, Maoan; Sun, Hao; Balanov, Zalman 17 2019 Bifurcations of small limit cycles in Liénard systems with cubic restoring terms. Zbl 1459.34098 Tian, Yun; Han, Maoan; Xu, Fangfang 17 2019 Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle of order \(m\). Zbl 1406.34068 Yang, Junmin; Yu, Pei; Han, Maoan 11 2019 Bifurcation of limit cycles from a compound loop with five saddles. Zbl 1459.34085 Sheng, Lijuan; Han, Maoan 5 2019 A regime switching model for species subject to environmental noises and additive Allee effect. Zbl 07568320 Xu, Junyan; Zhang, Tonghua; Han, Maoan 5 2019 Bifurcation of periodic orbits of a three-dimensional piecewise smooth system. Zbl 1431.34021 Xie, Shenglan; Han, Maoan; Zhao, Xuepeng 1 2019 Bifurcation theory for finitely smooth planar autonomous differential systems. Zbl 1410.34116 Han, Maoan; Sheng, Lijuan; Zhang, Xiang 64 2018 Theory of rotated equations and applications to a population model. Zbl 1396.37026 Han, Maoan; Hou, Xiaoyan; Sheng, Lijuan; Wang, Chaoyang 27 2018 Simple paratransgenic mosquitoes models and their dynamics. Zbl 1411.34067 Li, Jia; Han, Maoan; Yu, Jianshe 15 2018 An improvement on the number of limit cycles bifurcating from a nondegenerate center of homogeneous polynomial systems. Zbl 1394.34075 Yu, Pei; Han, Maoan; Li, Jibin 14 2018 Bifurcation of critical periods of a quintic system. Zbl 1391.34075 Romanovski, Valery G.; Han, Maoan; Huang, Wentao 13 2018 Reversibility in polynomial systems of ODE’s. Zbl 1427.34026 Han, Maoan; Petek, Tatjana; Romanovski, Valery G. 10 2018 On uniqueness of limit cycles in general Bogdanov-Takens bifurcation. Zbl 1401.34045 Han, Maoan; Llibre, Jaume; Yang, Junmin 10 2018 On the number of periodic solutions of delay differential equations. Zbl 1391.34115 Han, Maoan; Xu, Bing; Tian, Huanhuan; Bai, Yuzhen 9 2018 Relaxation oscillations in predator-prey model with distributed delay. Zbl 1400.34131 Wang, Na; Han, Maoan 7 2018 Limit cycles of a Liénard system with symmetry allowing for discontinuity. Zbl 1452.34041 Chen, Hebai; Han, Maoan; Xia, Yong-Hui 7 2018 Bifurcation of critical periods of a quartic system. Zbl 1413.34147 Huang, Wentao; Basov, Vladimir; Han, Maoan; Romanovski, Valery 2 2018 Dynamics of an autocatalator model. Zbl 1404.37113 Romanovski, Valery G.; Han, Maoan; Maćešić, Stevan; Tang, Yilei 1 2018 On the maximum number of periodic solutions of piecewise smooth periodic equations by average method. Zbl 1474.37050 Han, Maoan 60 2017 Bifurcation of periodic orbits by perturbing high-dimensional piecewise smooth integrable systems. Zbl 1419.37052 Tian, Huanhuan; Han, Maoan 52 2017 Hopf and homoclinic bifurcations for near-Hamiltonian systems. Zbl 1361.34037 Tian, Yun; Han, Maoan 35 2017 Bifurcation theory of limit cycles. Zbl 1415.34001 Han, Mao’an 15 2017 The maximal number of limit cycles in perturbations of piecewise linear Hamiltonian systems with two saddles. Zbl 1377.34042 Xiong, Yanqin; Han, Maoan; Romanovski, Valery G. 14 2017 Traveling wave solutions for a delayed diffusive SIR epidemic model with nonlinear incidence rate and external supplies. Zbl 1362.92088 Zhou, Kai; Han, Maoan; Wang, Qiru 7 2017 Numerical proof for chemostat chaos of Shilnikov’s type. Zbl 1390.34127 Deng, Bo; Han, Maoan; Hsu, Sze-Bi 6 2017 Periodic solutions of one dimensional \(T\)-periodic differential equations. Zbl 1499.34248 Sheng, Lijuan; Han, Mao’an 3 2017 Equivalence of the Melnikov function method and the averaging method. Zbl 1377.34056 Han, Maoan; Romanovski, Valery G.; Zhang, Xiang 47 2016 On the limit cycles of perturbed discontinuous planar systems with 4 switching lines. Zbl 1355.34036 Wang, Yanqin; Han, Maoan; Constantinescu, Dana 30 2016 Four small limit cycles around a Hopf singular point in 3-dimensional competitive Lotka-Volterra systems. Zbl 1334.34072 Yu, Pei; Han, Maoan; Xiao, Dongmei 20 2016 Planar quasi-homogeneous polynomial systems with a given weight degree. Zbl 1342.34049 Xiong, Yanqin; Han, Maoan 7 2016 Limit cycle bifurcations by perturbing a quadratic integrable system with a triangle. Zbl 1339.34052 Xiong, Yanqin; Han, Maoan; Xiao, Dongmei 7 2016 On the number of limit cycles by perturbing a piecewise smooth Liénard model. Zbl 1352.34045 Sheng, Lijuan; Han, Maoan; Romanovsky, Valery 6 2016 On the number of limit cycles in small perturbations of a piecewise linear Hamiltonian system with a heteroclinic loop. Zbl 1342.34051 Liang, Feng; Han, Maoan 5 2016 Slow-fast dynamics of Hopfield spruce-budworm model with memory effects. Zbl 1419.34238 Wang, Na; Han, Maoan 5 2016 Bifurcation of limit cycles in piecewise smooth systems via Melnikov function. Zbl 1451.37073 Han, Maoan; Sheng, Lijuan 80 2015 Ten limit cycles around a center-type singular point in a 3-d quadratic system with quadratic perturbation. Zbl 1336.34051 Yu, Pei; Han, Maoan 18 2015 Limit cycle bifurcations near homoclinic and heteroclinic loops via stability-changing of a homoclinic loop. Zbl 1353.34039 Xiong, Yanqin; Han, Maoan 17 2015 On the number of limit cycles near a homoclinic loop with a nilpotent singular point. Zbl 1332.34059 An, Yulian; Han, Maoan 13 2015 Cyclicity of some Liénard systems. Zbl 1332.34068 Li, Na; Han, Maoan; Romanovski, Valery G. 8 2015 On the number of limit cycles of a \(\mathbb{Z}_4\)-equivariant quintic near-Hamiltonian system. Zbl 1351.34035 Sun, Xian Bo; Han, Mao An 7 2015 Center problems and limit cycle bifurcations in a class of quasi-homogeneous systems. Zbl 1326.34069 Xiong, Yanqin; Han, Maoan; Wang, Yong 6 2015 Some bifurcation analysis in a family of nonsmooth Liénard systems. Zbl 1314.34083 Liu, Yuanyuan; Han, Maoan; Romanovski, Valery G. 4 2015 Qualitative investigation of a gene model using computer algebra algorithms. Zbl 1339.92049 Boulier, Francois; Han, M.; Lemaire, Francois; Romanovski, Valery G. 3 2015 Limit cycles near a homoclinic loop by perturbing a class of integrable systems. Zbl 1343.34079 Xiong, Yanqin; Han, Maoan 2 2015 Critical period bifurcation by perturbing a reversible rigidly isochronous center with multiple parameters. Zbl 1317.34037 Li, Na; Han, Maoan 1 2015 New lower bounds for the Hilbert number of polynomial systems of Liénard type. Zbl 1300.34069 Xiong, Yanqin; Han, Maoan 32 2014 Limit cycle bifurcations in a class of near-Hamiltonian systems with multiple parameters. Zbl 1354.34062 Han, Maoan; Xiong, Yanqin 24 2014 Dynamical analysis of a stochastic model for cascaded continuous flow bioreactors. Zbl 1314.92061 Zhang, Tonghua; Chen, Zhenzhen; Han, Maoan 23 2014 Limit cycle bifurcations in a class of perturbed piecewise smooth systems. Zbl 1334.37052 Xiong, Yanqin; Han, Maoan 23 2014 Global stability of a predator-prey system with stage structure and mutual interference. Zbl 1287.34071 Li, Zhong; Han, Maoan; Chen, Fengde 20 2014 Limit cycle bifurcations near a 2-polycycle or double 2-polycycle of planar systems. Zbl 1288.34037 Yang, Junmin; Xiong, Yanqin; Han, Maoan 14 2014 Almost periodic solutions of a discrete almost periodic logistic equation with delay. Zbl 1410.39025 Li, Zhong; Han, Maoan; Chen, Fengde 14 2014 Bifurcation of critical periods from the reversible rigidly isochronous centers. Zbl 1309.34067 Liu, Chao; Han, Maoan 12 2014 Bifurcation of limit cycles from a heteroclinic loop with two cusps. Zbl 1348.37084 Li, Jiao; Zhang, Tonghua; Han, Maoan 8 2014 ...and 262 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,860 Authors 230 Han, Maoan 99 Llibre, Jaume 74 Yu, Pei 46 Xia, Yonghui 40 Zhang, Tonghua 36 Romanovskiĭ, Valeriĭ Georgievich 36 Xiong, Yanqin 33 Yang, Junmin 32 Chen, Fengde 30 Torregrosa, Joan 26 Huang, Wentao 26 Li, Jibin 26 Sun, Xianbo 25 Cao, Jinde 25 Liu, Yirong 24 Sun, Ji Tao 24 Zhao, Liqin 23 Xu, Changjin 22 Li, Feng 22 Yang, Jihua 20 Zang, Hong 20 Zhang, Xiang 19 Chen, Xingwu 19 Giné, Jaume 19 Song, Yongli 19 Teng, Zhi-dong 18 Li, Yongkun 18 Liu, Xingbo 18 Tian, Lixin 18 Tian, Yun 18 Xiao, Dongmei 18 Yu, Jiang 18 Yuan, Sanling 17 Li, Xiaodi 17 Li, Zhong 17 Valls Anglés, Cláudia 17 Wu, Yuhai 16 Chen, Hebai 16 Du, Chaoxiong 16 Huang, Lihong 16 Liu, Changjian 16 Zhu, Deming 15 Li, Shimin 15 Liang, Feng 14 Gasull, Armengol 14 Li, Wan-Tong 14 Wei, Junjie 14 Xu, Rui 14 Yang, Xiaosong 13 Algaba, Antonio 13 Chen, Lansun 13 Ding, Wei 13 Novaes, Douglas Duarte 13 Shen, Jianhua 13 Teixeira, Marco Antonio 13 Wei, Minzhi 13 Zhang, Wei 12 Gan, Qintao 12 Huang, Bo 12 Huang, Chengdai 12 Huo, Hai-Feng 12 Lin, Yiping 12 Liu, Zhijun 12 Ou, Chunhua 12 Wang, Qinlong 12 Zhang, Lijun 12 Zhang, Weinian 11 Asheghi, Rasoul 11 Bai, Yuzhen 11 Chen, Haibo 11 García, Cristóbal 11 Li, Tao 11 Liu, Xia 11 Wu, Yusen 11 Xie, Xiangdong 11 Xu, Wei 11 Zhang, Yu 10 Jiang, Daqing 10 Jiang, Jiao 10 Kazemi, Rasool 10 Lin, Zhigui 10 Meng, Xinzhu 10 Yan, Jurang 10 Zhao, Yulin 10 Zhu, Zhenliang 9 Benterki, Rebiha 9 Dai, Binxiang 9 Du, Zhengdong 9 He, Mengxin 9 Jankowski, Tadeusz 9 Jiang, Fangfang 9 Jiang, Haijun 9 Jin, Yinlai 9 Li, Jing 9 Liao, Maoxin 9 Liu, Yuanyuan 9 Meng, Fanwei 9 Peng, Linping 9 Sheng, Lijuan 9 Wang, Jiafu ...and 2,760 more Authors all top 5 Cited in 259 Serials 275 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 170 Chaos, Solitons and Fractals 137 Applied Mathematics and Computation 127 Journal of Differential Equations 121 Journal of Mathematical Analysis and Applications 94 Journal of Applied Analysis and Computation 91 Communications in Nonlinear Science and Numerical Simulation 88 Advances in Difference Equations 83 Qualitative Theory of Dynamical Systems 81 Nonlinear Dynamics 80 Nonlinear Analysis. 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JMCS 3 ISRN Applied Mathematics ...and 159 more Serials all top 5 Cited in 48 Fields 2,007 Ordinary differential equations (34-XX) 936 Biology and other natural sciences (92-XX) 704 Dynamical systems and ergodic theory (37-XX) 320 Partial differential equations (35-XX) 148 Systems theory; control (93-XX) 97 Operator theory (47-XX) 68 Difference and functional equations (39-XX) 65 Numerical analysis (65-XX) 55 Real functions (26-XX) 53 Integral equations (45-XX) 42 Mechanics of particles and systems (70-XX) 41 Probability theory and stochastic processes (60-XX) 37 Computer science (68-XX) 35 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Information and communication theory, circuits (94-XX) 17 Statistical mechanics, structure of matter (82-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 14 Global analysis, analysis on manifolds (58-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Fluid mechanics (76-XX) 8 Mechanics of deformable solids (74-XX) 7 Algebraic geometry (14-XX) 7 Operations research, mathematical programming (90-XX) 5 Commutative algebra (13-XX) 4 Combinatorics (05-XX) 4 Approximations and expansions (41-XX) 4 Statistics (62-XX) 3 Nonassociative rings and algebras (17-XX) 3 Topological groups, Lie groups (22-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 3 General topology (54-XX) 3 Quantum theory (81-XX) 2 Abstract harmonic analysis (43-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year