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## Han, Maoan

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 Author ID: han.maoan Published as: Han, M.; Han, M. A.; Han, Manao; Han, Mao An; Han, Mao’an; Han, Mao-An; Han, Mao-an; Han, Maoan External Links: dblp · GND
 Documents Indexed: 400 Publications since 1984, including 4 Books Reviewing Activity: 20 Reviews
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#### Co-Authors

 55 single-authored 30 Yu, Pei 21 Yang, Junmin 19 Romanovski, Valery G. 18 Zhang, Tonghua 16 Xiong, Yanqin 15 Zang, Hong 12 Wu, Yuhai 11 Ding, Wei 11 Zhu, Deming 10 Bi, Ping 10 Jiang, Katie 9 Song, Yongli 9 Xia, Yonghui 9 Xiao, Dongmei 8 Liang, Feng 8 Sheng, Lijuan 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 Yuan, Sanling 5 Tian, Yun 5 Xie, Feng 5 Zhang, Weijiang 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 Wang, Zheng 4 Xing, Yepeng 4 Zhang, Xiang 3 Cui, Baotong 3 Hu, Zhaoping 3 Li, Lianzhong 3 Li, Na 3 Liu, Xia 3 Liu, Yuanyuan 3 Meng, Fanwei 3 Shen, Jianhe 3 Sun, Xianbo 3 Tian, Huanhuan 3 Wang, Xiangrong 3 Wang, Yanqin 3 Wei, Junjie 3 Xiang, Guanghui 3 Ye, Zhiyong 3 Zhang, Lijun 3 Zhen, Jin 3 Zhuo, Xianglai 2 An, Yulian 2 Bai, Yuzhen 2 Chang, Guifeng 2 Chen, Fengjuan 2 Gao, Yongxi 2 Gu, Shengshi 2 Huang, Wentao 2 Khalique, Chaudry Masood 2 Lhotka, Christoph 2 Li, Liangying 2 Liu, Chao 2 Liu, Shanshan 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 Xu, Bing 2 Xu, Jianhua 2 Xu, Weijiao 2 Ye, Yanqian 2 Zhang, Jizhou 2 Zhu, Huaiping 1 Balanov, Zalman I. 1 Basov, Vladimir Vladimirovich 1 Boulier, François 1 Cai, Meilan 1 Cao, Jinde 1 Chen, Guanrong 1 Chen, Hebai 1 Chen, Hua 1 Chen, Jian 1 Chen, Wencheng 1 Chen, Xiaoyan 1 Chen, Yuanyuan 1 Chen, Zhenzhen 1 Constantinescu, Constanţa Dana 1 Debnath, Lokenath 1 Deng, Bo ...and 85 more Co-Authors
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#### Serials

 48 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 37 Chaos, Solitons and Fractals 28 Journal of Differential Equations 22 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 Nonlinear Analysis. Real World Applications 5 Applied Mathematics Letters 5 Mathematica Applicata 5 Qualitative Theory of Dynamical Systems 4 Acta Mathematicae Applicatae Sinica 4 Acta Mathematica Sinica. New Series 4 Chinese Science Bulletin 4 Bulletin des Sciences Mathématiques 3 Physics Letters. A 3 Journal of Computational and Applied Mathematics 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 Acta Mathematica Scientia. Series A. (Chinese Edition) 3 Communications on Pure and Applied Analysis 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 Physica D 2 Journal of Systems Science and Mathematical Sciences 2 Acta Mathematicae Applicatae Sinica. English Series 2 Applied Mathematics 2 Nonlinear Dynamics 2 Chaos 2 Journal of Shanghai Jiaotong University (Science) 2 Nonlinear Analysis. Theory, Methods & Applications 1 Indian Journal of Pure & Applied Mathematics 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 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 Discrete and Continuous Dynamical Systems. Series B 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Chinese Journal of Contemporary Mathematics 1 Analysis and Applications (Singapore) 1 Advances in Difference Equations 1 Applied Mathematical Sciences 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal of Biomathematics 1 Science China. Mathematics 1 ISRN Mathematical Analysis 1 Journal of Shanghai Normal University. Natural Sciences
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#### Fields

 345 Ordinary differential equations (34-XX) 119 Dynamical systems and ergodic theory (37-XX) 47 Biology and other natural sciences (92-XX) 23 Partial differential equations (35-XX) 8 Integral equations (45-XX) 7 Difference and functional equations (39-XX) 5 Operator theory (47-XX) 4 Real functions (26-XX) 4 Systems theory; control (93-XX) 3 Mechanics of particles and systems (70-XX) 2 Commutative algebra (13-XX) 2 Computer science (68-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 Numerical analysis (65-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

303 Publications have been cited 3,834 times in 1,926 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
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
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
Bifurcation theory and methods of dynamical systems. Zbl 0961.37015
Luo, Dingjun; Wang, Xian; Zhu, Deming; Han, Maoan
1997
Stability and Hopf bifurcations in a competitive Lotka–Volterra system with two delays. Zbl 1067.34075
Song, Yongli; Han, Maoan; Peng, Yahong
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
Hopf bifurcations for near-Hamiltonian systems. Zbl 1183.34054
Han, Maoan; Yang, Junmin; Yu, Pei
2009
On Hopf cyclicity of planar systems. Zbl 1054.34052
Han, Maoan
2000
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
Periodic boundary value problems for the first order impulsive functional differential equations. Zbl 1081.34081
Ding, Wei; Mi, Junrong; Han, Maoan
2005
Bifurcation theory for finitely smooth planar autonomous differential systems. Zbl 1410.34116
Han, Maoan; Sheng, Lijuan; Zhang, Xiang
2018
Twelve limit cycles in a cubic case of the 16th Hilbert problem. Zbl 1092.34524
Yu, P.; Han, M.
2005
Cyclicity of planar homoclinic loops and quadratic integrable systems. Zbl 0930.37035
Han, Maoan
1997
The persistence in a Lotka–Volterra competition systems with impulses. Zbl 1081.34045
Zhen, Jin; Han, Maoan; Li, Guihua
2005
Dynamics of an SIS reaction-diffusion epidemic model for disease transmission. Zbl 1190.35120
Huang, Wenzhang; Han, Maoan; Liu, Kaiyu
2010
On the number of limit cycles in double homoclinic bifurcations. Zbl 1013.34026
Han, Maoan; Chen, Jian
2000
Limit cycles near generalized homoclinic and double homoclinic loops in piecewise smooth systems. Zbl 1281.34055
Liang, Feng; Han, Maoan
2012
On the stability of double homoclinic and heteroclinic cycles. Zbl 1035.34042
Han, Maoan; Hu, Shouchuan; Liu, Xingbo
2003
Lower bounds for the Hilbert number of polynomial systems. Zbl 1247.34047
Han, Maoan; Li, Jibin
2012
Bifurcation of periodic orbits by perturbing high-dimensional piecewise smooth integrable systems. Zbl 1419.37052
Tian, Huanhuan; Han, Maoan
2017
Bifurcations of limit cycles for a cubic Hamiltonian system under quartic perturbations. Zbl 1060.37041
Zhang, Tonghua; Han, Maoan; Zang, Hong; Meng, Xinzhu
2004
Lyapunov constants and Hopf cyclicity of Liénard systems. Zbl 0968.34029
Han, Maoan
1999
Asymptotic expansions of Melnikov functions and limit cycle bifurcations. Zbl 1258.34054
Han, Maoan
2012
Limit cycle bifurcations by perturbing a cuspidal loop in a Hamiltonian system. Zbl 1168.34029
Han, Maoan; Zang, Hong; Yang, Junmin
2009
Periodic boundary value problem for the second order impulsive functional differential equations. Zbl 1064.34067
Ding, Wei; Han, Maoan
2004
Non-linear determinacy of minimum wave speed for a Lotka-Volterra competition model. Zbl 1263.92047
Huang, Wenzhang; Han, Maoan
2011
Twelve limit cycles in a cubic order planar system with $$Z_2$$ symmetry. Zbl 1085.34028
Yu, P.; Han, M.
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
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
Bifurcations of limit cycles in a cubic system. Zbl 1048.34069
Zhang, Tonghua; Zang, Hong; Han, Maoan
2004
Global bifurcation of limit cycles in a family of polynomial systems. Zbl 1050.34040
Xiang, Guanghui; 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
Bifurcation of limit cycles from generalized homoclinic loops in planar piecewise smooth systems. Zbl 1301.34055
Liang, Feng; Han, Maoan; Zhang, Xiang
2013
A new analytical method for the linearization of dynamic equation on measure chains. Zbl 1126.34030
Xia, Yonghui; Cao, Jinde; Han, Maoan
2007
Periodic boundary value problem for the second-order impulsive functional differential equations. Zbl 1095.34042
Ding, Wei; Han, Maoan; Mi, Junrong
2005
Local and global Hopf bifurcation in a delayed hematopoiesis model. Zbl 1090.37547
Song, Yongli; Wei, Junjie; Han, Maoan
2004
Equivalence of the Melnikov function method and the averaging method. Zbl 1377.34056
Han, Maoan; Romanovski, Valery G.; Zhang, Xiang
2016
Limit cycle bifurcations of some Liénard systems with a cuspidal loop and a homoclinic loop. Zbl 1231.34056
Yang, Junmin; Han, Maoan
2011
Global qualitative analysis for a predator-prey system with delay. Zbl 1145.34042
Sun, Chengjun; Han, Maoan; Lin, Yiping; Chen, Yuanyuan
2007
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
On the number of limit cycles of polynomial Liénard systems. Zbl 1269.34037
Han, Maoan; Romanovski, Valery G.
2013
Limit cycle bifurcations of some Liénard systems. Zbl 1200.34036
Yang, Junmin; Han, Maoan; Romanovski, Valery G.
2010
Synchronization schemes for coupled identical Yang-Yang type fuzzy cellular neural networks. Zbl 1221.37227
Xia, Yonghui; Yang, Zijiang; Han, Maoan
2009
Bifurcation of limit cycles from a heteroclinic loop with a cusp. Zbl 1218.34045
Sun, Xianbo; Han, Maoan; Yang, Junmin
2011
Synchronization of delayed fuzzy cellular neural networks based on adaptive control. Zbl 1221.94094
Ding, Wei; Han, Maoan
2008
Exponential $$p$$-stability of delayed Cohen-Grossberg-type BAM neural networks with impulses. Zbl 1146.34329
Xia, Yonghui; Huang, Zhenkun; Han, Maoan
2008
Existence and globally exponential stability of equilibrium for BAM neural networks with impulses. Zbl 1144.34347
Xia, Yonghui; Huang, Zhenkun; Han, Maoan
2008
Anti-periodic boundary value problems for first order impulsive functional differential equations. Zbl 1124.34039
Ding, Wei; Xing, Yepeng; Han, Maoan
2007
Limit cycles in generalized Liénard systems. Zbl 1142.34326
Yu, P.; Han, M.
2006
Cyclicity 1 and 2 conditions for a 2-polycycle of integrable systems on the plane. Zbl 0935.34022
Han, Maoan; Zhang, Zhifen
1999
New lower bounds for the Hilbert number of polynomial systems of Liénard type. Zbl 1300.34069
Xiong, Yanqin; Han, Maoan
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
2011
Global stability of an SIRS epidemic model with delays. Zbl 1090.92044
Zhen, Jin; Ma, Zhien; Han, Maoan
2006
Theory of rotated equations and applications to a population model. Zbl 1396.37026
Han, Maoan; Hou, Xiaoyan; Sheng, Lijuan; Wang, Chaoyang
2018
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
A new approach to stability of impulsive functional differential equations. Zbl 1057.34103
Xing, Yepeng; Han, Maoan
2004
Limit cycle bifurcations in near-Hamiltonian systems by perturbing a nilpotent center. Zbl 1165.34333
Han, Maoan; Jiang, Jiao; Zhu, Huaiping
2008
Some new delay integral inequalities and their applications. Zbl 1067.26019
Li, Wei Nian; Han, Maoan; Meng, Fan Wei
2005
Global bifurcation of limit cycles in a family of multiparameter systems. Zbl 1070.34066
Xiang, Guanghui; Han, Maoan
2004
Travelling wavefronts in the diffusive single species model with Allee effect and distributed delay. Zbl 1041.92027
Song, Yongli; Peng, Yahong; Han, Maoan
2004
Bifurcations of invariant tori and subharmonic solutions for periodic perturbed systems. Zbl 0823.34042
Han, Maoan
1994
Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle. Zbl 1258.34078
Han, Maoan; Yang, Junmin; Xiao, Dongmei
2012
On the number of limit cycles in near-Hamiltonian polynomial systems. Zbl 1157.34025
Han, Maoan; Chen, Guanrong; Sun, Chengjun
2007
The loop quantities and bifurcations of homoclinic loops. Zbl 1120.34032
Han, Maoan; Zhu, Huaiping
2007
Competition in the chemostat: convergence of a model with delayed response in growth. Zbl 1036.92037
Yuan, Sanling; Han, Maoan; Ma, Zhien
2003
Bifurcations of periodic solutions of delay differential equations. Zbl 1027.34081
Han, Maoan
2003
Bifurcations of periodic orbits, subharmonic solutions and invariant tori of high-dimensional systems. Zbl 0922.34035
Han, Maoan; Jiang, Katie; Green, David jun.
1999
Dynamical analysis of a stochastic model for cascaded continuous flow bioreactors. Zbl 1314.92061
Zhang, Tonghua; Chen, Zhenzhen; Han, Maoan
2014
Hopf bifurcation for nonsmooth Liénard systems. Zbl 1176.34047
Liu, Xia; Han, Maoan
2009
Analysis of stability and Hopf bifurcation for a delayed logistic equation. Zbl 1336.34101
Sun, Chengjun; Han, Maoan; Lin, Yiping
2007
Some bifurcation methods of finding limit cycles. Zbl 1136.34307
Han, Maoan; Zhang, Tonghua
2006
On the number and distribution of limit cycles in a cubic system. Zbl 1090.34025
Han, Maoan; Zhang, Tonghua; Zang, Hong
2004
Limit cycle bifurcations in a class of perturbed piecewise smooth systems. Zbl 1334.37052
Xiong, Yanqin; Han, Maoan
2014
Four limit cycles from perturbing quadratic integrable systems by quadratic polynomials. Zbl 1258.34062
Yu, Pei; Han, Maoan
2012
On Hopf bifurcations of piecewise planar Hamiltonian systems. Zbl 1222.34042
Yang, Junmin; Han, Maoan; Huang, Wenzhang
2011
Exponential lag synchronization of delayed fuzzy cellular neural networks with impulses. Zbl 1228.34075
Ding, Wei; Han, Maoan; Li, Meili
2009
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
Limit cycle bifurcations in a class of near-Hamiltonian systems with multiple parameters. Zbl 1354.34062
Han, Maoan; Xiong, Yanqin
2014
Small-amplitude limit cycles of polynomial Liénard systems. Zbl 1355.34068
Han, Maoan; Tian, Yun; Yu, Pei
2013
Hopf bifurcation for two types of Liénard systems. Zbl 1228.34059
Tian, Yun; Han, Maoan
2011
Global attractivity of an almost periodic $$N$$-species nonlinear ecological competitive model. Zbl 1129.34048
Xia, Yonghui; Han, Maoan; Huang, Zhenkun
2008
Analysis on limit cycles of $$Z_{q}$$-equivariant polynomial vector fields with degree 3 or 4. Zbl 1106.34017
Yu, P.; Han, M.; Yuan, Y.
2006
On the number and distributions of limit cycles in a cubic system. Zbl 1004.34016
Han, Maoan
2002
Cyclicity of homoclinic loops and degenerate cubic Hamiltonians. Zbl 0959.34022
Han, Maoan; Ye, Yanqian; Zhu, Deming
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
2016
Dynamic of a non-autonomous predator-prey system with infinite delay and diffusion. Zbl 1155.34329
Ding, Wei; Han, Maoan
2008
A new cubic system having eleven limit cycles. Zbl 1085.34027
Han, Maoan; Wu, Yuhai; Bi, Ping
2005
The existence of homoclinic orbits to saddle-focus. Zbl 1080.37018
Shang, Desheng; Han, Maoan
2005
Bifurcation of limit cycles and separatrix loops in singular Liénard systems. Zbl 1048.34082
Han, Maoan; Bi, Ping; Xiao, Dongmei
2004
Existence of periodic orbits and invariant tori in codimension two and bifurcations of three-dimensional systems. Zbl 0934.34030
Han, Maoan
1998
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
Hopf and homoclinic bifurcations for near-Hamiltonian systems. Zbl 1361.34037
Tian, Yun; Han, Maoan
2017
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 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 methods of periodic orbits for piecewise smooth systems. Zbl 07291336
Liu, Shanshan; Han, Maoan; Li, Jibin
2021
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 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
Simple paratransgenic mosquitoes models and their dynamics. Zbl 1411.34067
Li, Jia; Han, Maoan; Yu, Jianshe
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
On the number of periodic solutions of delay differential equations. Zbl 1391.34115
Han, Maoan; Xu, Bing; Tian, Huanhuan; Bai, Yuzhen
2018
Bifurcation of critical periods of a quintic system. Zbl 1391.34075
Romanovski, Valery G.; Han, Maoan; Huang, Wentao
2018
Limit cycles of a Liénard system with symmetry allowing for discontinuity. Zbl 1452.34041
Chen, Hebai; Han, Maoan; Xia, Yong-Hui
2018
On uniqueness of limit cycles in general Bogdanov-Takens bifurcation. Zbl 1401.34045
Han, Maoan; Llibre, Jaume; Yang, Junmin
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 periodic orbits by perturbing high-dimensional piecewise smooth integrable systems. Zbl 1419.37052
Tian, Huanhuan; 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’an
2017
Numerical proof for chemostat chaos of Shilnikov’s type. Zbl 1390.34127
Deng, Bo; Han, Maoan; Hsu, Sze-Bi
2017
On the maximum number of periodic solutions of piecewise smooth periodic equations by average method. Zbl 07309537
Han, Maoan
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
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 limit cycles of perturbed discontinuous planar systems with 4 switching lines. Zbl 1355.34036
Wang, Yanqin; Han, Maoan; Constantinescu, Dana
2016
Planar quasi-homogeneous polynomial systems with a given weight degree. Zbl 1342.34049
Xiong, Yanqin; Han, Maoan
2016
On the number of limit cycles by perturbing a piecewise smooth Liénard model. Zbl 1352.34045
Sheng, Lijuan; Han, Maoan; Romanovsky, Valery
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 in small perturbations of a piecewise linear Hamiltonian system with a heteroclinic loop. Zbl 1342.34051
Liang, Feng; Han, Maoan
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 near a homoclinic loop with a nilpotent singular point. Zbl 1332.34059
An, Yulian; Han, Maoan
2015
Bifurcation of limit cycles in piecewise smooth systems via Melnikov function. Zbl 1451.37073
Han, Maoan; Sheng, Lijuan
2015
Limit cycle bifurcations near homoclinic and heteroclinic loops via stability-changing of a homoclinic loop. Zbl 1353.34039
Xiong, Yanqin; Han, Maoan
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
Center problems and limit cycle bifurcations in a class of quasi-homogeneous systems. Zbl 1326.34069
Xiong, Yanqin; Han, Maoan; Wang, Yong
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
Cyclicity of some Liénard systems. Zbl 1332.34068
Li, Na; Han, Maoan; Romanovski, Valery G.
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
Qualitative investigation of a gene model using computer algebra algorithms. Zbl 1339.92049
Boulier, Francois; Han, M.; Lemaire, Francois; Romanovski, Valery G.
2015
Critical period bifurcation by perturbing a reversible rigidly isochronous center with multiple parameters. Zbl 1317.34037
Li, Na; Han, Maoan
2015
New lower bounds for the Hilbert number of polynomial systems of Liénard type. Zbl 1300.34069
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
Limit cycle bifurcations in a class of perturbed piecewise smooth systems. Zbl 1334.37052
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
Global stability of a predator-prey system with stage structure and mutual interference. Zbl 1287.34071
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
Almost periodic solutions of a discrete almost periodic logistic equation with delay. Zbl 1410.39025
Li, Zhong; Han, Maoan; Chen, Fengde
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
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 class of integrable systems with a polycycle. Zbl 1318.34050
Wang, Yanqin; Han, Maoan
2014
Limit cycle bifurcations by perturbing a compound loop with a cusp and a nilpotent saddle. Zbl 07023141
Tian, Huanhuan; Han, Maoan
2014
Influence of feedback controls on an autonomous Lotka-Volterra competitive system with infinite delays. Zbl 1268.34147
Li, Zhong; Han, Maoan; Chen, Fengde
2013
Bifurcation of limit cycles from generalized homoclinic loops in planar piecewise smooth systems. Zbl 1301.34055
Liang, Feng; Han, Maoan; Zhang, Xiang
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
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
Bifurcations of Canard limit cycles in several singularly perturbed generalized polynomial Liénard systems. Zbl 1277.37080
Shen, Jianhe; Han, Maoan
2013
The stability of some kinds of generalized homoclinic loops in planar piecewise smooth systems. Zbl 1270.34104
Liang, Feng; Han, Maoan
2013
Local integrability of a family of three-dimensional quadratic systems. Zbl 1286.37058
Hu, Zhaoping; Han, Maoan; Romanovski, Valery G.
2013
Critical periods of perturbations of reversible rigidly isochronous centers. Zbl 1296.34080
Zhou, Jiamei; Li, Na; 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
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
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
Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle. Zbl 1258.34078
Han, Maoan; Yang, Junmin; Xiao, Dongmei
2012
Four limit cycles from perturbing quadratic integrable systems by quadratic polynomials. Zbl 1258.34062
Yu, Pei; Han, Maoan
2012
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
Computation of expansion coefficients of Melnikov functions near a nilpotent center. Zbl 1268.34062
Yang, Junmin; Han, Maoan
2012
Isochronicity and normal forms of polynomial systems of ODEs. Zbl 1248.34046
Han, Maoan; Romanovski, Valery G.
2012
The number of limit cycles of a class of polynomial differential systems. Zbl 1235.34100
Yao, Haiyan; Han, Maoan
2012
Limit cycle bifurcations from a nilpotent focus or center of planar systems. Zbl 1261.34032
Han, Maoan; Romanovski, Valery G.
2012
Degenerate Hopf bifurcation in nonsmooth planar systems. Zbl 1270.34017
Liang, Feng; Han, Maoan
2012
Hopf bifurcation of limit cycles in discontinuous Liénard systems. Zbl 1253.34038
Xiong, Yanqin; Han, Maoan
2012
Bifurcation of limit cycles in quadratic Hamiltonian systems with various degree polynomial perturbations. Zbl 1264.70044
Yu, P.; Han, M.
2012
Hopf bifurcation of Liénard systems by perturbing a nilpotent center. Zbl 1258.34058
Su, Jing; Yang, Junmin; Han, Maoan
2012
Non-linear determinacy of minimum wave speed for a Lotka-Volterra competition model. Zbl 1263.92047
Huang, Wenzhang; Han, Maoan
2011
Limit cycle bifurcations of some Liénard systems with a cuspidal loop and a homoclinic loop. Zbl 1231.34056
Yang, Junmin; Han, Maoan
2011
Bifurcation of limit cycles from a heteroclinic loop with a cusp. Zbl 1218.34045
Sun, Xianbo; Han, Maoan; Yang, Junmin
2011
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
On Hopf bifurcations of piecewise planar Hamiltonian systems. Zbl 1222.34042
Yang, Junmin; Han, Maoan; Huang, Wenzhang
2011
Hopf bifurcation for two types of Liénard systems. Zbl 1228.34059
Tian, Yun; Han, Maoan
2011
A study on Zoladek’s example. Zbl 1304.34064
Yu, Pei; Han, Maoan
2011
Four limit cycles in quadratic near-integrable systems. Zbl 1304.34065
Yu, Pei; Han, Maoan
2011
On Hopf bifurcation in non-smooth planar systems. Zbl 1198.34059
Han, Maoan; Zhang, Weinian
2010
Bifurcation of limit cycles by perturbing piecewise Hamiltonian systems. Zbl 1193.34082
Liu, Xia; Han, Maoan
2010
Dynamics of an SIS reaction-diffusion epidemic model for disease transmission. Zbl 1190.35120
Huang, Wenzhang; Han, Maoan; Liu, Kaiyu
2010
Limit cycle bifurcations of some Liénard systems. Zbl 1200.34036
Yang, Junmin; Han, Maoan; Romanovski, Valery G.
2010
Limit cycle bifurcations of some Liénard systems with a nilpotent cusp. Zbl 1208.34049
Yang, Junmin; Han, Maoan
2010
Existence conditions of thirteen limit cycles in a cubic system. Zbl 1202.34065
Yang, Junmin; Han, Maoan; Li, Jibin; Yu, Pei
2010
...and 203 more Documents
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#### Cited by 2,132 Authors

 191 Han, Maoan 69 Llibre, Jaume 58 Yu, Pei 39 Xia, Yonghui 35 Zhang, Tonghua 30 Romanovski, Valery G. 28 Xiong, Yanqin 24 Yang, Junmin 23 Sun, Xianbo 22 Liu, Yirong 22 Torregrosa, Joan 22 Xu, Changjin 21 Sun, Ji Tao 20 Li, Jibin 20 Zang, Hong 19 Song, Yongli 18 Cao, Jinde 18 Chen, Fengde 18 Zhao, Liqin 17 Shen, Jianhua 17 Teng, Zhi-dong 17 Wu, Yuhai 16 Tian, Lixin 16 Xiao, Dongmei 15 Li, Xiaodi 15 Li, Yongkun 15 Yuan, Sanling 15 Zhu, Deming 14 Giné, Jaume 14 Wei, Junjie 14 Yang, Jihua 14 Zhang, Xiang 13 Huang, Wentao 13 Li, Feng 13 Li, Wan-Tong 13 Liang, Feng 13 Tian, Yun 13 Xu, Rui 12 Chen, Lansun 12 Ding, Wei 12 Gan, Qintao 12 Wang, Weibing 12 Zhang, Wei 12 Zhou, Jiangbo 11 Chen, Xingwu 11 Du, Chaoxiong 11 Gasull, Armengol 11 Huo, Hai-Feng 11 Li, Shimin 11 Lin, Yiping 11 Liu, Xia 11 Yang, Xiaosong 11 Yu, Jiang 11 Zhao, Yulin 10 Huang, Lihong 10 Jiang, Jiao 10 Liu, Xingbo 10 Ou, Chunhua 10 Teixeira, Marco Antonio 10 Xie, Xiangdong 10 Yan, Jurang 10 Zhang, Weinian 9 Jankowski, Tadeusz 9 Jiang, Haijun 9 Novaes, Douglas Duarte 9 Wang, Weiming 9 Xing, Yepeng 9 Xu, Yancong 9 Zhang, Yu 8 Algaba, Antonio 8 Asheghi, Rasoul 8 Bai, Yuzhen 8 Chen, Boshan 8 Chen, Haibo 8 Feng, Meiqiang 8 Feng, Zhaosheng 8 Huang, Chengdai 8 Kazemi, Rasool 8 Liao, Maoxin 8 Liu, Changjian 8 Liu, Zhijun 8 Ma, Changfeng 8 Meng, Xinzhu 8 Wong, Patricia J. Y. 8 Xu, Wei 8 Yang, Xuxin 8 Yuan, Rong 8 Zhu, Huaiping 7 Chen, Hebai 7 Dai, Yunxian 7 Jiang, Weihua 7 Li, Weinian 7 Liao, Xiaofeng 7 Lin, Zhigui 7 Nieto Roig, Juan Jose 7 Pei, Yongzhen 7 Pinto, Manuel 7 Shen, Jianwei 7 Sheng, Lijuan 7 Sun, Chengjun ...and 2,032 more Authors
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#### Cited in 185 Serials

 209 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 157 Chaos, Solitons and Fractals 131 Applied Mathematics and Computation 104 Journal of Mathematical Analysis and Applications 85 Journal of Differential Equations 77 Nonlinear Dynamics 72 Advances in Difference Equations 68 Nonlinear Analysis. Real World Applications 66 Abstract and Applied Analysis 60 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 47 Communications in Nonlinear Science and Numerical Simulation 45 Journal of Applied Analysis and Computation 42 Discrete Dynamics in Nature and Society 39 Qualitative Theory of Dynamical Systems 35 Computers & Mathematics with Applications 34 Journal of Computational and Applied Mathematics 25 Discrete and Continuous Dynamical Systems. Series B 23 Mathematical Problems in Engineering 21 Journal of Applied Mathematics and Computing 20 Mathematical Methods in the Applied Sciences 20 Applied Mathematics Letters 20 International Journal of Biomathematics 17 Journal of Dynamics and Differential Equations 16 Acta Mathematica Sinica. English Series 15 Journal of the Franklin Institute 15 Bulletin des Sciences Mathématiques 14 Boundary Value Problems 13 Acta Mathematicae Applicatae Sinica. English Series 12 Applied Mathematical Modelling 12 Journal of Biological Dynamics 11 Neural Networks 11 Journal of Inequalities and Applications 11 Journal of Applied Mathematics 9 Mathematics and Computers in Simulation 9 Chinese Annals of Mathematics. Series B 9 Complexity 9 Discrete and Continuous Dynamical Systems 9 Communications on Pure and Applied Analysis 8 Science in China. Series A 8 Differential Equations and Dynamical Systems 8 Nonlinear Analysis. Hybrid Systems 7 Bulletin of Mathematical Biology 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 Journal of Dynamical and Control Systems 6 International Journal of Differential Equations 5 Journal of Mathematical Biology 5 Mathematical Biosciences 5 Nonlinearity 5 Proceedings of the American Mathematical Society 5 Acta Applicandae Mathematicae 5 Journal of Symbolic Computation 5 International Journal of Computer Mathematics 5 Journal of Difference Equations and Applications 5 Journal of Mathematical Chemistry 5 Mathematical Biosciences and Engineering 5 Discrete and Continuous Dynamical Systems. Series S 4 Applicable Analysis 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 Nonlinear Science 4 Dynamical Systems 4 Mediterranean Journal of Mathematics 4 Advances in Mathematical Physics 4 Journal of Function Spaces 4 Open Mathematics 3 International Journal of Systems Science 3 Fuzzy Sets and Systems 3 Numerical Functional Analysis and Optimization 3 Transactions of the American Mathematical Society 3 Physica D 3 Electronic Journal of Differential Equations (EJDE) 3 Computational and Applied Mathematics 3 Journal of Biological Systems 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Science China. Mathematics 3 ISRN Applied Mathematics 2 Modern Physics Letters B 2 Physica A 2 Physics Letters. A 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 Indian Academy of Sciences. Mathematical Sciences 2 Acta Mathematica Sinica. New Series 2 Russian Mathematics 2 NoDEA. Nonlinear Differential Equations and Applications 2 The ANZIAM Journal 2 Applied Mathematics E-Notes 2 Journal of Fixed Point Theory and Applications 2 Mathematical Modelling of Natural Phenomena 2 Journal of Nonlinear Science and Applications 2 Journal of Mathematics and Computer Science. JMCS ...and 85 more Serials
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#### Cited in 40 Fields

 1,485 Ordinary differential equations (34-XX) 681 Biology and other natural sciences (92-XX) 529 Dynamical systems and ergodic theory (37-XX) 199 Partial differential equations (35-XX) 115 Systems theory; control (93-XX) 79 Operator theory (47-XX) 61 Numerical analysis (65-XX) 56 Difference and functional equations (39-XX) 41 Integral equations (45-XX) 38 Real functions (26-XX) 27 Probability theory and stochastic processes (60-XX) 26 Mechanics of particles and systems (70-XX) 26 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Computer science (68-XX) 13 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) 8 Global analysis, analysis on manifolds (58-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Commutative algebra (13-XX) 5 Mechanics of deformable solids (74-XX) 5 Fluid mechanics (76-XX) 4 Algebraic geometry (14-XX) 3 Combinatorics (05-XX) 3 Approximations and expansions (41-XX) 3 Functional analysis (46-XX) 3 Operations research, mathematical programming (90-XX) 2 Differential geometry (53-XX) 2 Statistics (62-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX)