## Han, Maoan

Compute Distance To:
 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: 422 Publications since 1984, including 4 Books 1 Contribution as Editor Reviewing Activity: 20 Reviews Co-Authors: 187 Co-Authors with 367 Joint Publications 7,929 Co-Co-Authors
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### Co-Authors

 55 single-authored 31 Yu, Pei 22 Yang, Junmin 20 Romanovskiĭ, Valeriĭ Georgievich 19 Zhang, Tonghua 17 Xiong, Yanqin 15 Zang, Hong 12 Wu, Yuhai 11 Ding, Wei 11 Zhu, Deming 10 Bi, Ping 10 Jiang, Katie 9 Liang, Feng 9 Sheng, Lijuan 9 Song, Yongli 9 Xia, Yonghui 9 Xiao, Dongmei 8 Sun, Chengjun 7 Jiang, Jiao 7 Luo, Dingjun 6 Li, Jibin 6 Li, Weinian 6 Lin, Yiping 6 Liu, Xuanliang 6 Shang, Desheng 6 Tian, Yun 6 Yuan, Sanling 5 Xie, Feng 5 Zhang, Weijiang 4 Cai, Meilan 4 Chen, Fengde 4 Chen, Xianfeng 4 Huang, Wenzhang 4 Huang, Zhenkun 4 Li, Meili 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 Cui, Baotong 3 Hu, Zhaoping 3 Ke, Ai 3 Li, Lianzhong 3 Li, Na 3 Liu, Shanshan 3 Liu, Xia 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, Xiaoyan 2 Gao, Yongxi 2 Gong, Shuhua 2 Gu, Shengshi 2 Huang, Wentao 2 Khalique, Chaudry Masood 2 Lhotka, Christoph 2 Li, Liangying 2 Liu, Chao 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 Wang, Xian 2 Xie, Shenglan 2 Xu, Jianhua 2 Xu, Weijiao 2 Ye, Yanqian 2 Zhang, Jizhou 2 Zhang, Qian 2 Zhu, Huaiping 1 Balanov, Zalman I. 1 Boulier, François 1 Cao, Jinde 1 Chen, Guanrong 1 Chen, Hebai 1 Chen, Hua 1 Chen, Jian 1 Chen, Jiangbin 1 Chen, Wencheng 1 Chen, Yuanyuan ...and 87 more Co-Authors
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### Serials

 52 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 37 Chaos, Solitons and Fractals 31 Journal of Differential Equations 24 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 10 Annals of Differential Equations 9 Acta Mathematica Sinica 9 Abstract and Applied Analysis 9 Journal of Applied Analysis and Computation 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 Qualitative Theory of Dynamical Systems 6 Nonlinear Analysis. Real World Applications 5 Applied Mathematics Letters 5 Mathematica Applicata 5 Bulletin des Sciences Mathématiques 4 Acta Mathematicae Applicatae Sinica 4 Acta Mathematica Sinica. New Series 4 Chinese Science Bulletin 4 Communications on Pure and Applied Analysis 4 Discrete and Continuous Dynamical Systems. Series S 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 Acta Mathematica Sinica. English Series 3 Communications in Nonlinear Science and Numerical Simulation 3 Discrete and Continuous Dynamical Systems. Series B 3 Acta Mathematica Scientia. Series A. (Chinese Edition) 3 Mathematical Biosciences and Engineering 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 Nonlinear Dynamics 2 Chaos 2 Acta Mathematica Scientia. Series B. (English Edition) 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 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 Computational and Applied Mathematics 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 Analysis and Applications (Singapore) 1 Applied Mathematical Sciences 1 Mathematical Modelling of Natural Phenomena 1 International Journal of Biomathematics 1 Science China. Mathematics 1 Scientia Sinica. Mathematica 1 ISRN Mathematical Analysis 1 Journal of Shanghai Normal University. Natural Sciences
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### Fields

 364 Ordinary differential equations (34-XX) 129 Dynamical systems and ergodic theory (37-XX) 48 Biology and other natural sciences (92-XX) 24 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) 2 Commutative algebra (13-XX) 2 Numerical analysis (65-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

328 Publications have been cited 4,350 times in 2,153 Documents Cited by Year
On Hopf bifurcation in non-smooth planar systems. Zbl 1198.34059
Han, Maoan; Zhang, Weinian
2010
Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays. Zbl 1062.34079
Song, Yongli; Han, Maoan; Wei, Junjie
2005
Dynamics in a ratio-dependent predator–prey model with predator harvesting. Zbl 1122.34035
Xiao, Dongmei; Li, Wenxia; Han, Maoan
2006
Bifurcation of limit cycles by perturbing piecewise Hamiltonian systems. Zbl 1193.34082
Liu, Xia; Han, Maoan
2010
Normal forms, Melnikov functions and bifurcations of limit cycles. Zbl 1252.37002
Han, Maoan; Yu, Pei
2012
Limit cycles near homoclinic and heteroclinic loops. Zbl 1165.34016
Han, Maoan; Yang, Junmin; Tarţa, Alexandrina-Alina; Gao, Yang
2008
Stability and Hopf bifurcations in a competitive Lotka–Volterra system with two delays. Zbl 1067.34075
Song, Yongli; Han, Maoan; Peng, Yahong
2004
Hopf bifurcations for near-Hamiltonian systems. Zbl 1183.34054
Han, Maoan; Yang, Junmin; Yu, Pei
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
2004
Small limit cycles bifurcating from fine focus points in cubic order $$Z_{2}$$-equivariant vector fields. Zbl 1067.34033
Yu, P.; Han, M.
2005
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.
2012
Dynamics of an SIS reaction-diffusion epidemic model for disease transmission. Zbl 1190.35120
Huang, Wenzhang; Han, Maoan; Liu, Kaiyu
2010
On Hopf cyclicity of planar systems. Zbl 1054.34052
Han, Maoan
2000
Bifurcation theory for finitely smooth planar autonomous differential systems. Zbl 1410.34116
Han, Maoan; Sheng, Lijuan; Zhang, Xiang
2018
Limit cycles near generalized homoclinic and double homoclinic loops in piecewise smooth systems. Zbl 1281.34055
Liang, Feng; Han, Maoan
2012
Twelve limit cycles in a cubic case of the 16th Hilbert problem. Zbl 1092.34524
Yu, P.; Han, M.
2005
Bifurcation of periodic orbits by perturbing high-dimensional piecewise smooth integrable systems. Zbl 1419.37052
Tian, Huanhuan; Han, Maoan
2017
The persistence in a Lotka–Volterra competition systems with impulses. Zbl 1081.34045
Zhen, Jin; Han, Maoan; Li, Guihua
2005
Limit cycle bifurcations by perturbing a cuspidal loop in a Hamiltonian system. Zbl 1168.34029
Han, Maoan; Zang, Hong; Yang, Junmin
2009
Lyapunov constants and Hopf cyclicity of Liénard systems. Zbl 0968.34029
Han, Maoan
1999
Cyclicity of planar homoclinic loops and quadratic integrable systems. Zbl 0930.37035
Han, Maoan
1997
Lower bounds for the Hilbert number of polynomial systems. Zbl 1247.34047
Han, Maoan; Li, Jibin
2012
On the number of limit cycles in double homoclinic bifurcations. Zbl 1013.34026
Han, Maoan; Chen, Jian
2000
Non-linear determinacy of minimum wave speed for a Lotka-Volterra competition model. Zbl 1263.92047
Huang, Wenzhang; Han, Maoan
2011
On the stability of double homoclinic and heteroclinic cycles. Zbl 1035.34042
Han, Maoan; Hu, Shouchuan; Liu, Xingbo
2003
Asymptotic expansions of Melnikov functions and limit cycle bifurcations. Zbl 1258.34054
Han, Maoan
2012
Periodic boundary value problems for the first order impulsive functional differential equations. Zbl 1081.34081
Ding, Wei; Mi, Junrong; Han, Maoan
2005
Bifurcations of limit cycles for a cubic Hamiltonian system under quartic perturbations. Zbl 1060.37041
Zhang, Tonghua; Han, Maoan; Zang, Hong; Meng, Xinzhu
2004
Equivalence of the Melnikov function method and the averaging method. Zbl 1377.34056
Han, Maoan; Romanovski, Valery G.; Zhang, Xiang
2016
Bifurcation of limit cycles from generalized homoclinic loops in planar piecewise smooth systems. Zbl 1301.34055
Liang, Feng; Han, Maoan; Zhang, Xiang
2013
Periodic boundary value problem for the second order impulsive functional differential equations. Zbl 1064.34067
Ding, Wei; Han, Maoan
2004
Influence of feedback controls on an autonomous Lotka-Volterra competitive system with infinite delays. Zbl 1268.34147
Li, Zhong; Han, Maoan; Chen, Fengde
2013
Initial value problem for first-order integro-differential equation of Volterra type on time scales. Zbl 1065.45005
Xing, Yepeng; Han, Maoan; Zheng, Guang
2005
Twelve limit cycles in a cubic order planar system with $$Z_2$$ symmetry. Zbl 1085.34028
Yu, P.; Han, M.
2004
Global bifurcation of limit cycles in a family of polynomial systems. Zbl 1050.34040
Xiang, Guanghui; Han, Maoan
2004
New conditions on the existence and stability of periodic solution in Lotka-Volterra’s population system. Zbl 1181.92084
Xia, Yonghui; Han, Maoan
2009
Stability and Hopf bifurcation for an epidemic disease model with delay. Zbl 1165.34048
Sun, Chengjun; Lin, Yiping; Han, Maoan
2006
Bifurcations of limit cycles in a cubic system. Zbl 1048.34069
Zhang, Tonghua; Zang, Hong; Han, Maoan
2004
Bifurcation of limit cycles in piecewise smooth systems via Melnikov function. Zbl 1451.37073
Han, Maoan; Sheng, Lijuan
2015
Bifurcation of limit cycles from a heteroclinic loop with a cusp. Zbl 1218.34045
Sun, Xianbo; Han, Maoan; Yang, Junmin
2011
Local and global Hopf bifurcation in a delayed hematopoiesis model. Zbl 1090.37547
Song, Yongli; Wei, Junjie; Han, Maoan
2004
A new analytical method for the linearization of dynamic equation on measure chains. Zbl 1126.34030
Xia, Yonghui; Cao, Jinde; Han, Maoan
2007
New lower bounds for the Hilbert number of polynomial systems of Liénard type. Zbl 1300.34069
Xiong, Yanqin; Han, Maoan
2014
Periodic boundary value problem for the second-order impulsive functional differential equations. Zbl 1095.34042
Ding, Wei; Han, Maoan; Mi, Junrong
2005
Limit cycle bifurcations of some Liénard systems with a cuspidal loop and a homoclinic loop. Zbl 1231.34056
Yang, Junmin; Han, Maoan
2011
On the number of limit cycles of polynomial Liénard systems. Zbl 1269.34037
Han, Maoan; Romanovski, Valery G.
2013
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.
2004
Synchronization of delayed fuzzy cellular neural networks based on adaptive control. Zbl 1221.94094
Ding, Wei; Han, Maoan
2008
Limit cycle bifurcations of some Liénard systems. Zbl 1200.34036
Yang, Junmin; Han, Maoan; Romanovski, Valery G.
2010
Global stability of an SIRS epidemic model with delays. Zbl 1090.92044
Zhen, Jin; Ma, Zhien; Han, Maoan
2006
Synchronization schemes for coupled identical Yang-Yang type fuzzy cellular neural networks. Zbl 1221.37227
Xia, Yonghui; Yang, Zijiang; Han, Maoan
2009
Anti-periodic boundary value problems for first order impulsive functional differential equations. Zbl 1124.34039
Ding, Wei; Xing, Yepeng; Han, Maoan
2007
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
2008
Limit cycles in generalized Liénard systems. Zbl 1142.34326
Yu, P.; Han, M.
2006
Global qualitative analysis for a predator-prey system with delay. Zbl 1145.34042
Sun, Chengjun; Han, Maoan; Lin, Yiping; Chen, Yuanyuan
2007
Theory of rotated equations and applications to a population model. Zbl 1396.37026
Han, Maoan; Hou, Xiaoyan; Sheng, Lijuan; Wang, Chaoyang
2018
Bifurcations of invariant tori and subharmonic solutions for periodic perturbed systems. Zbl 0823.34042
Han, Maoan
1994
Exponential $$p$$-stability of delayed Cohen-Grossberg-type BAM neural networks with impulses. Zbl 1146.34329
Xia, Yonghui; Huang, Zhenkun; Han, Maoan
2008
Limit cycle bifurcations in a class of near-Hamiltonian systems with multiple parameters. Zbl 1354.34062
Han, Maoan; Xiong, Yanqin
2014
Global bifurcation of limit cycles in a family of multiparameter systems. Zbl 1070.34066
Xiang, Guanghui; Han, Maoan
2004
Cyclicity 1 and 2 conditions for a 2-polycycle of integrable systems on the plane. Zbl 0935.34022
Han, Maoan; Zhang, Zhifen
1999
Existence and globally exponential stability of equilibrium for BAM neural networks with impulses. Zbl 1144.34347
Xia, Yonghui; Huang, Zhenkun; Han, Maoan
2008
Some new delay integral inequalities and their applications. Zbl 1067.26019
Li, Wei Nian; Han, Maoan; Meng, Fan Wei
2005
Limit cycle bifurcations in near-Hamiltonian systems by perturbing a nilpotent center. Zbl 1165.34333
Han, Maoan; Jiang, Jiao; Zhu, Huaiping
2008
Chaos and Hopf bifurcation analysis for a two species predator-prey system with prey refuge and diffusion. Zbl 1222.34099
Liu, Xia; Han, Maoan
2011
Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle. Zbl 1258.34078
Han, Maoan; Yang, Junmin; Xiao, Dongmei
2012
On the limit cycles of perturbed discontinuous planar systems with 4 switching lines. Zbl 1355.34036
Wang, Yanqin; Han, Maoan; Constantinescu, Dana
2016
Limit cycle bifurcations in a class of perturbed piecewise smooth systems. Zbl 1334.37052
Xiong, Yanqin; Han, Maoan
2014
On the number of limit cycles in near-Hamiltonian polynomial systems. Zbl 1157.34025
Han, Maoan; Chen, Guanrong; Sun, Chengjun
2007
Travelling wavefronts in the diffusive single species model with Allee effect and distributed delay. Zbl 1041.92027
Song, Yongli; Peng, Yahong; Han, Maoan
2004
A new approach to stability of impulsive functional differential equations. Zbl 1057.34103
Xing, Yepeng; Han, Maoan
2004
Dynamical analysis of a stochastic model for cascaded continuous flow bioreactors. Zbl 1314.92061
Zhang, Tonghua; Chen, Zhenzhen; Han, Maoan
2014
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
2012
Global stability of a predator-prey system with stage structure and mutual interference. Zbl 1287.34071
Li, Zhong; Han, Maoan; Chen, Fengde
2014
On the maximum number of periodic solutions of piecewise smooth periodic equations by average method. Zbl 1474.37050
Han, Maoan
2017
Four limit cycles from perturbing quadratic integrable systems by quadratic polynomials. Zbl 1258.34062
Yu, Pei; Han, Maoan
2012
Bifurcation theory and methods of dynamical systems. Zbl 0961.37015
Luo, Dingjun; Wang, Xian; Zhu, Deming; Han, Maoan
1997
Bifurcations of periodic orbits, subharmonic solutions and invariant tori of high-dimensional systems. Zbl 0922.34035
Han, Maoan; Jiang, Katie; Green, David jun.
1999
Competition in the chemostat: convergence of a model with delayed response in growth. Zbl 1036.92037
Yuan, Sanling; Han, Maoan; Ma, Zhien
2003
On Hopf bifurcations of piecewise planar Hamiltonian systems. Zbl 1222.34042
Yang, Junmin; Han, Maoan; Huang, Wenzhang
2011
Hopf bifurcation for nonsmooth Liénard systems. Zbl 1176.34047
Liu, Xia; Han, Maoan
2009
Hopf and homoclinic bifurcations for near-Hamiltonian systems. Zbl 1361.34037
Tian, Yun; Han, Maoan
2017
Some bifurcation methods of finding limit cycles. Zbl 1136.34307
Han, Maoan; Zhang, Tonghua
2006
Analysis of stability and Hopf bifurcation for a delayed logistic equation. Zbl 1336.34101
Sun, Chengjun; Han, Maoan; Lin, Yiping
2007
Bifurcations of periodic solutions of delay differential equations. Zbl 1027.34081
Han, Maoan
2003
The loop quantities and bifurcations of homoclinic loops. Zbl 1120.34032
Han, Maoan; Zhu, Huaiping
2007
Exponential lag synchronization of delayed fuzzy cellular neural networks with impulses. Zbl 1228.34075
Ding, Wei; Han, Maoan; Li, Meili
2009
Small-amplitude limit cycles of polynomial Liénard systems. Zbl 1355.34068
Han, Maoan; Tian, Yun; Yu, Pei
2013
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
2019
Existence of almost periodic solutions for forced perturbed systems with piecewise constant argument. Zbl 1124.34045
Xia, Yonghui; Huang, Zhenkun; Han, Maoan
2007
The stability of double homoclinic loops. Zbl 1122.37312
Han, Maoan; Wu, Yuhai
2004
Existence of periodic orbits and invariant tori in codimension two and bifurcations of three-dimensional systems. Zbl 0934.34030
Han, Maoan
1998
Normal forms of integrable systems at a resonant saddle. Zbl 0967.34032
Han, Maoan; Jiang, Katie
1998
Global attractivity of an almost periodic $$N$$-species nonlinear ecological competitive model. Zbl 1129.34048
Xia, Yonghui; Han, Maoan; Huang, Zhenkun
2008
Hopf bifurcation for two types of Liénard systems. Zbl 1228.34059
Tian, Yun; Han, Maoan
2011
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
2016
On the number and distribution of limit cycles in a cubic system. Zbl 1090.34025
Han, Maoan; Zhang, Tonghua; Zang, Hong
2004
The existence of homoclinic orbits to saddle-focus. Zbl 1080.37018
Shang, Desheng; Han, Maoan
2005
On the coefficients appearing in the expansion of Mel’nikov functions in homoclinic bifurcations. Zbl 0968.34028
Han, Maoan; Ye, Yanqian
1998
Cyclicity of homoclinic loops and degenerate cubic Hamiltonians. Zbl 0959.34022
Han, Maoan; Ye, Yanqian; Zhu, Deming
1999
Bifurcation methods of periodic orbits for piecewise smooth systems. Zbl 1461.34028
Liu, Shanshan; Han, Maoan; Li, Jibin
2021
Limit cycle bifurcations of piecewise smooth near-Hamiltonian systems with a switching curve. Zbl 1486.37031
Tian, Huanhuan; Han, Maoan
2021
Limit cycle bifurcations in a class of piecewise smooth cubic systems with multiple parameters. Zbl 1465.34036
Cai, Meilan; Han, Maoan
2021
Eighteen limit cycles around two symmetric foci in a cubic planar switching polynomial system. Zbl 1482.34099
Yu, Pei; Han, Maoan; Zhang, Xiang
2021
Bifurcation of limit cycles in a piecewise smooth near-integrable system. Zbl 1483.34055
Tian, Yun; Shang, Xinyu; Han, Maoan
2021
Limit cycles from perturbing a piecewise smooth system with a center and a homoclinic loop. Zbl 07395176
Ke, Ai; Han, Maoan
2021
Limit cycles appearing from a generalized heteroclinic loop with a cusp and a nilpotent saddle. Zbl 07408065
Xiong, Yanqin; Han, Maoan
2021
Hopf bifurcation of limit cycles by perturbing piecewise integrable systems. Zbl 1448.34080
Han, Maoan; Lu, Wen
2020
A linear estimate of the number of limit cycles for a piecewise smooth near-Hamiltonian system. Zbl 1455.34037
Chen, Xiaoyan; Han, Maoan
2020
Further studies on limit cycle bifurcations for piecewise smooth near-Hamiltonian systems with multiple parameters. Zbl 1455.37045
Han, Maoan; Liu, Shanshan
2020
Limit cycle bifurcations in discontinuous planar systems with multiple lines. Zbl 1457.34050
Xiong, Yanqin; Han, Maoan
2020
Limit cycle bifurcations in a planar piecewise quadratic system with multiple parameters. Zbl 1485.34097
Gong, Shuhua; Han, Maoan
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
2020
On the number of limit cycles bifurcating from a compound polycycle. Zbl 1451.34034
Sheng, Lijuan; Han, Maoan; Tian, Yun
2020
Bifurcation of limit cycles in a family of piecewise smooth systems via averaging theory. Zbl 1479.37050
Liu, Shanshan; Han, Maoan
2020
Limit cycle bifurcations by perturbing a class of planar quintic vector fields. Zbl 1454.34057
Xiong, Yanqin; Han, Maoan
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
2020
On the maximum number of limit cycles for a piecewise smooth differential system. Zbl 1459.34086
Shi, Hongwei; Bai, Yuzhen; Han, Maoan
2020
Exact peakon solutions given by the generalized hyperbolic functions for some nonlinear wave equations. Zbl 1459.35069
Li, Jibin; Han, Maoan
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
2020
Existence of generalized homoclinic solutions for a modified Swift-Hohenberg equation. Zbl 1469.34061
Shi, Yixia; Han, Maoan
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
2019
Upper estimates for the number of periodic solutions to multi-dimensional systems. Zbl 1459.34103
Han, Maoan; Sun, Hao; Balanov, Zalman
2019
Bifurcations of small limit cycles in Liénard systems with cubic restoring terms. Zbl 1459.34098
Tian, Yun; Han, Maoan; Xu, Fangfang
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
2019
Bifurcation of periodic orbits of a three-dimensional piecewise smooth system. Zbl 1431.34021
Xie, Shenglan; Han, Maoan; Zhao, Xuepeng
2019
Bifurcation theory for finitely smooth planar autonomous differential systems. Zbl 1410.34116
Han, Maoan; Sheng, Lijuan; Zhang, Xiang
2018
Theory of rotated equations and applications to a population model. Zbl 1396.37026
Han, Maoan; Hou, Xiaoyan; Sheng, Lijuan; Wang, Chaoyang
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
2018
Bifurcation of critical periods of a quintic system. Zbl 1391.34075
Romanovski, Valery G.; Han, Maoan; Huang, Wentao
2018
Simple paratransgenic mosquitoes models and their dynamics. Zbl 1411.34067
Li, Jia; Han, Maoan; Yu, Jianshe
2018
On uniqueness of limit cycles in general Bogdanov-Takens bifurcation. Zbl 1401.34045
Han, Maoan; Llibre, Jaume; Yang, Junmin
2018
On the number of periodic solutions of delay differential equations. Zbl 1391.34115
Han, Maoan; Xu, Bing; Tian, Huanhuan; Bai, Yuzhen
2018
Limit cycles of a Liénard system with symmetry allowing for discontinuity. Zbl 1452.34041
Chen, Hebai; Han, Maoan; Xia, Yong-Hui
2018
Relaxation oscillations in predator-prey model with distributed delay. Zbl 1400.34131
Wang, Na; Han, Maoan
2018
Reversibility in polynomial systems of ODE’s. Zbl 1427.34026
Han, Maoan; Petek, Tatjana; Romanovski, Valery G.
2018
Dynamics of an autocatalator model. Zbl 1404.37113
Romanovski, Valery G.; Han, Maoan; Maćešić, Stevan; Tang, Yilei
2018
Bifurcation of critical periods of a quartic system. Zbl 1413.34147
Huang, Wentao; Basov, Vladimir; Han, Maoan; Romanovski, Valery
2018
Bifurcation of periodic orbits by perturbing high-dimensional piecewise smooth integrable systems. Zbl 1419.37052
Tian, Huanhuan; Han, Maoan
2017
On the maximum number of periodic solutions of piecewise smooth periodic equations by average method. Zbl 1474.37050
Han, Maoan
2017
Hopf and homoclinic bifurcations for near-Hamiltonian systems. Zbl 1361.34037
Tian, Yun; Han, Maoan
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.
2017
Bifurcation theory of limit cycles. Zbl 1415.34001
Han, Mao&rsquo;an
2017
Numerical proof for chemostat chaos of Shilnikov’s type. Zbl 1390.34127
Deng, Bo; Han, Maoan; Hsu, Sze-Bi
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
2017
Equivalence of the Melnikov function method and the averaging method. Zbl 1377.34056
Han, Maoan; Romanovski, Valery G.; Zhang, Xiang
2016
On the limit cycles of perturbed discontinuous planar systems with 4 switching lines. Zbl 1355.34036
Wang, Yanqin; Han, Maoan; Constantinescu, Dana
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
2016
Planar quasi-homogeneous polynomial systems with a given weight degree. Zbl 1342.34049
Xiong, Yanqin; Han, Maoan
2016
Limit cycle bifurcations by perturbing a quadratic integrable system with a triangle. Zbl 1339.34052
Xiong, Yanqin; Han, Maoan; Xiao, Dongmei
2016
On the number of limit cycles by perturbing a piecewise smooth Liénard model. Zbl 1352.34045
Sheng, Lijuan; Han, Maoan; Romanovsky, Valery
2016
Slow-fast dynamics of Hopfield spruce-budworm model with memory effects. Zbl 1419.34238
Wang, Na; Han, Maoan
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
2016
Bifurcation of limit cycles in piecewise smooth systems via Melnikov function. Zbl 1451.37073
Han, Maoan; Sheng, Lijuan
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
2015
On the number of limit cycles near a homoclinic loop with a nilpotent singular point. Zbl 1332.34059
An, Yulian; Han, Maoan
2015
Limit cycle bifurcations near homoclinic and heteroclinic loops via stability-changing of a homoclinic loop. Zbl 1353.34039
Xiong, Yanqin; Han, Maoan
2015
Cyclicity of some Liénard systems. Zbl 1332.34068
Li, Na; Han, Maoan; Romanovski, Valery G.
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
2015
Center problems and limit cycle bifurcations in a class of quasi-homogeneous systems. Zbl 1326.34069
Xiong, Yanqin; Han, Maoan; Wang, Yong
2015
Some bifurcation analysis in a family of nonsmooth Liénard systems. Zbl 1314.34083
Liu, Yuanyuan; Han, Maoan; Romanovski, Valery G.
2015
Limit cycles near a homoclinic loop by perturbing a class of integrable systems. Zbl 1343.34079
Xiong, Yanqin; Han, Maoan
2015
Critical period bifurcation by perturbing a reversible rigidly isochronous center with multiple parameters. Zbl 1317.34037
Li, Na; Han, Maoan
2015
Qualitative investigation of a gene model using computer algebra algorithms. Zbl 1339.92049
Boulier, Francois; Han, M.; Lemaire, Francois; Romanovski, Valery G.
2015
New lower bounds for the Hilbert number of polynomial systems of Liénard type. Zbl 1300.34069
Xiong, Yanqin; Han, Maoan
2014
Limit cycle bifurcations in a class of near-Hamiltonian systems with multiple parameters. Zbl 1354.34062
Han, Maoan; Xiong, Yanqin
2014
Limit cycle bifurcations in a class of perturbed piecewise smooth systems. Zbl 1334.37052
Xiong, Yanqin; Han, Maoan
2014
Dynamical analysis of a stochastic model for cascaded continuous flow bioreactors. Zbl 1314.92061
Zhang, Tonghua; Chen, Zhenzhen; Han, Maoan
2014
Global stability of a predator-prey system with stage structure and mutual interference. Zbl 1287.34071
Li, Zhong; Han, Maoan; Chen, Fengde
2014
Almost periodic solutions of a discrete almost periodic logistic equation with delay. Zbl 1410.39025
Li, Zhong; Han, Maoan; Chen, Fengde
2014
Bifurcation of critical periods from the reversible rigidly isochronous centers. Zbl 1309.34067
Liu, Chao; Han, Maoan
2014
Limit cycle bifurcations near a 2-polycycle or double 2-polycycle of planar systems. Zbl 1288.34037
Yang, Junmin; Xiong, Yanqin; Han, Maoan
2014
On the limit cycle bifurcation of a polynomial system from a global center. Zbl 1297.34056
Xiong, Yanqin; Han, Maoan
2014
Limit cycle bifurcations by perturbing a class of integrable systems with a polycycle. Zbl 1318.34050
Wang, Yanqin; Han, Maoan
2014
Some new dynamic Opial type inequalities and applications for second order integro-differential dynamic equations on time scales. Zbl 1410.34053
Li, Lianzhong; Han, Maoan
2014
Bifurcation of limit cycles from a heteroclinic loop with two cusps. Zbl 1348.37084
Li, Jiao; Zhang, Tonghua; Han, Maoan
2014
Limit cycle bifurcations by perturbing a compound loop with a cusp and a nilpotent saddle. Zbl 1474.34238
Tian, Huanhuan; Han, Maoan
2014
Canard solution and its asymptotic approximation in a second-order nonlinear singularly perturbed boundary value problem with a turning point. Zbl 07175073
Shen, Jianhe; Han, Maoan
2014
Bifurcation of limit cycles from generalized homoclinic loops in planar piecewise smooth systems. Zbl 1301.34055
Liang, Feng; Han, Maoan; Zhang, Xiang
2013
Influence of feedback controls on an autonomous Lotka-Volterra competitive system with infinite delays. Zbl 1268.34147
Li, Zhong; Han, Maoan; Chen, Fengde
2013
On the number of limit cycles of polynomial Liénard systems. Zbl 1269.34037
Han, Maoan; Romanovski, Valery G.
2013
Small-amplitude limit cycles of polynomial Liénard systems. Zbl 1355.34068
Han, Maoan; Tian, Yun; Yu, Pei
2013
On the number of zeros of abelian integral for some Liénard system of type $$(4,3)$$. Zbl 1294.34036
Sun, Xianbo; Su, Jing; Han, Maoan
2013
Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system. Zbl 1274.34119
Xiong, Yanqin; Han, Maoan
2013
Bifurcation of limit cycles in 3rd-order $$Z_2$$ Hamiltonian planar vector fields with 3rd-order perturbations. Zbl 1345.34040
Yu, Pei; Han, Maoan
2013
Bifurcations of Canard limit cycles in several singularly perturbed generalized polynomial Liénard systems. Zbl 1277.37080
Shen, Jianhe; Han, Maoan
2013
Local integrability of a family of three-dimensional quadratic systems. Zbl 1286.37058
Hu, Zhaoping; Han, Maoan; Romanovski, Valery G.
2013
The stability of some kinds of generalized homoclinic loops in planar piecewise smooth systems. Zbl 1270.34104
Liang, Feng; Han, Maoan
2013
On the number of limit cycles of a class of polynomial systems of Liénard type. Zbl 1317.34039
Chang, Guifeng; Zhang, Tonghua; Han, Maoan
2013
Bifurcation of limit cycles by perturbing a periodic annulus with multiple critical points. Zbl 1275.34053
Chang, Guifeng; Han, Maoan
2013
The number of zeros of abelian integrals for a perturbation of hyperelliptic Hamiltonian system with degenerated polycycle. Zbl 1270.34057
Wang, Jihua; Xiao, Dongmei; Han, Maoan
2013
Critical periods of perturbations of reversible rigidly isochronous centers. Zbl 1296.34080
Zhou, Jiamei; Li, Na; Han, Maoan
2013
Bifurcations of planar Hamiltonian systems with impulsive perturbation. Zbl 1407.70026
Hu, Zhaoping; Han, Maoan; Romanovski, Valery G.
2013
Eight limit cycles around a center in quadratic Hamiltonian system with third-order perturbation. Zbl 1270.34056
Yu, Pei; Han, Maoan
2013
The number of limit cycles of a polynomial system on the plane. Zbl 1300.34068
Liu, Chao; Han, Maoan
2013
Normal forms, Melnikov functions and bifurcations of limit cycles. Zbl 1252.37002
Han, Maoan; Yu, Pei
2012
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.
2012
Limit cycles near generalized homoclinic and double homoclinic loops in piecewise smooth systems. Zbl 1281.34055
Liang, Feng; Han, Maoan
2012
Lower bounds for the Hilbert number of polynomial systems. Zbl 1247.34047
Han, Maoan; Li, Jibin
2012
Asymptotic expansions of Melnikov functions and limit cycle bifurcations. Zbl 1258.34054
Han, Maoan
2012
...and 228 more Documents
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### Cited by 2,284 Authors

 207 Han, Maoan 79 Llibre, Jaume 61 Yu, Pei 38 Xia, Yonghui 38 Zhang, Tonghua 33 Romanovskiĭ, Valeriĭ Georgievich 31 Xiong, Yanqin 29 Torregrosa, Joan 27 Yang, Junmin 26 Chen, Fengde 25 Sun, Xianbo 22 Liu, Yirong 22 Xu, Changjin 22 Zhao, Liqin 21 Sun, Ji Tao 20 Cao, Jinde 20 Zang, Hong 19 Li, Jibin 19 Song, Yongli 19 Teng, Zhi-dong 19 Yang, Jihua 17 Huang, Wentao 17 Wu, Yuhai 17 Xiao, Dongmei 17 Yuan, Sanling 16 Giné, Jaume 16 Li, Yongkun 16 Zhang, Xiang 15 Li, Xiaodi 15 Liang, Feng 15 Zhu, Deming 14 Huang, Lihong 14 Li, Wan-Tong 14 Li, Zhong 14 Tian, Yun 14 Wei, Junjie 13 Chen, Xingwu 13 Li, Feng 13 Li, Shimin 13 Shen, Jianhua 13 Xu, Rui 13 Yang, Xiaosong 12 Chen, Lansun 12 Du, Chaoxiong 12 Gan, Qintao 12 Liu, Zhijun 12 Yu, Jiang 12 Zhang, Wei 11 Algaba, Antonio 11 Gasull, Armengol 11 Huang, Chengdai 11 Huo, Hai-Feng 11 Lin, Yiping 11 Liu, Xia 11 Liu, Xingbo 11 Ou, Chunhua 11 Teixeira, Marco Antonio 11 Valls Anglés, Cláudia 11 Xie, Xiangdong 11 Zhang, Weinian 11 Zhao, Yulin 10 Ding, Wei 10 Jiang, Jiao 10 Liu, Changjian 10 Wang, Weiming 10 Yan, Jurang 9 Asheghi, Rasoul 9 García, Cristóbal 9 He, Mengxin 9 Jankowski, Tadeusz 9 Jiang, Haijun 9 Kazemi, Rasool 9 Lin, Zhigui 9 Meng, Xinzhu 9 Novaes, Douglas Duarte 9 Tian, Lixin 9 Wang, Qinlong 9 Xu, Yancong 9 Zhang, Yu 8 Bai, Yuzhen 8 Chen, Boshan 8 Chen, Haibo 8 Dai, Binxiang 8 Feng, Meiqiang 8 Feng, Zhaosheng 8 Jiang, Daqing 8 Jiang, Weihua 8 Li, Tao 8 Liao, Maoxin 8 Ma, Changfeng 8 Wei, Lijun 8 Wong, Patricia J. Y. 8 Wu, Yusen 8 Xing, Yepeng 8 Yuan, Rong 8 Zhang, Lijun 8 Zhu, Huaiping 8 Zhu, Zhenliang 7 Bakhshalizadeh, Ali 7 Chen, Hebai ...and 2,184 more Authors
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### Cited in 213 Serials

 238 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 158 Chaos, Solitons and Fractals 119 Applied Mathematics and Computation 107 Journal of Mathematical Analysis and Applications 104 Journal of Differential Equations 86 Advances in Difference Equations 77 Nonlinear Dynamics 71 Nonlinear Analysis. Real World Applications 66 Abstract and Applied Analysis 59 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 59 Qualitative Theory of Dynamical Systems 49 Communications in Nonlinear Science and Numerical Simulation 49 Journal of Applied Analysis and Computation 43 Discrete Dynamics in Nature and Society 37 Discrete and Continuous Dynamical Systems. Series B 33 Computers & Mathematics with Applications 32 Journal of Computational and Applied Mathematics 26 Journal of Applied Mathematics and Computing 23 Mathematical Problems in Engineering 22 International Journal of Biomathematics 21 Physica A 20 Mathematical Methods in the Applied Sciences 20 Applied Mathematics Letters 18 Bulletin des Sciences Mathématiques 18 Mathematical Biosciences and Engineering 17 Journal of Dynamics and Differential Equations 17 Acta Mathematica Sinica. English Series 15 Journal of the Franklin Institute 14 Mathematics and Computers in Simulation 14 Acta Mathematicae Applicatae Sinica. English Series 14 Journal of Inequalities and Applications 14 Boundary Value Problems 14 Journal of Biological Dynamics 13 Communications on Pure and Applied Analysis 12 Neural Networks 12 Applied Mathematical Modelling 11 Journal of Applied Mathematics 11 Discrete and Continuous Dynamical Systems. Series S 10 Chinese Annals of Mathematics. Series B 10 Differential Equations and Dynamical Systems 10 Nonlinear Analysis. Hybrid Systems 9 Complexity 9 Discrete and Continuous Dynamical Systems 8 Science in China. Series A 8 Journal of Dynamical and Control Systems 7 Bulletin of Mathematical Biology 7 Physica D 7 Applied Mathematics. Series B (English Edition) 7 Chaos 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Applied Mathematics and Mechanics. (English Edition) 6 Mathematical and Computer Modelling 6 International Journal of Computer Mathematics 6 Journal of Nonlinear Science 6 Computational and Applied Mathematics 6 Dynamical Systems 6 International Journal of Differential Equations 5 Applicable Analysis 5 Journal of Mathematical Biology 5 Mathematical Biosciences 5 Nonlinearity 5 Fuzzy Sets and Systems 5 Proceedings of the American Mathematical Society 5 Acta Applicandae Mathematicae 5 Journal of Symbolic Computation 5 Journal of Difference Equations and Applications 5 Journal of Mathematical Chemistry 5 Mediterranean Journal of Mathematics 4 Biological Cybernetics 4 Rocky Mountain Journal of Mathematics 4 Journal of Optimization Theory and Applications 4 SIAM Journal on Applied Mathematics 4 Journal of Biological Systems 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Advances in Mathematical Physics 4 Journal of Mathematics 4 Journal of Function Spaces 4 Open Mathematics 3 International Journal of Systems Science 3 Numerical Functional Analysis and Optimization 3 Transactions of the American Mathematical Society 3 Russian Mathematics 3 Electronic Journal of Differential Equations (EJDE) 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Science China. Mathematics 3 ISRN Applied Mathematics 3 Journal of Applied Nonlinear Dynamics 2 Modern Physics Letters B 2 Czechoslovak Mathematical Journal 2 Stochastic Analysis and Applications 2 European Journal of Applied Mathematics 2 Japan Journal of Industrial and Applied Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Acta Mathematica Sinica. New Series 2 Tatra Mountains Mathematical Publications 2 Calculus of Variations and Partial Differential Equations 2 Filomat 2 NoDEA. Nonlinear Differential Equations and Applications ...and 113 more Serials
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### Cited in 46 Fields

 1,651 Ordinary differential equations (34-XX) 778 Biology and other natural sciences (92-XX) 567 Dynamical systems and ergodic theory (37-XX) 214 Partial differential equations (35-XX) 126 Systems theory; control (93-XX) 84 Operator theory (47-XX) 60 Numerical analysis (65-XX) 58 Difference and functional equations (39-XX) 45 Integral equations (45-XX) 42 Real functions (26-XX) 31 Mechanics of particles and systems (70-XX) 29 Probability theory and stochastic processes (60-XX) 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Statistical mechanics, structure of matter (82-XX) 23 Computer science (68-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 11 Information and communication theory, circuits (94-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Global analysis, analysis on manifolds (58-XX) 5 Combinatorics (05-XX) 5 Commutative algebra (13-XX) 5 Mechanics of deformable solids (74-XX) 4 Algebraic geometry (14-XX) 3 Approximations and expansions (41-XX) 3 Functional analysis (46-XX) 3 Fluid mechanics (76-XX) 3 Operations research, mathematical programming (90-XX) 2 Mathematical logic and foundations (03-XX) 2 Nonassociative rings and algebras (17-XX) 2 Special functions (33-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX)