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## Zhang, Weinian

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 Author ID: zhang.weinian Published as: Zhang, W.; Zhang, W. N.; Zhang, Wei Nian; Zhang, Wei-Nian; Zhang, WeiNian; Zhang, Weinian Homepage: http://math.scu.edu.cn/info/1075/1046.htm External Links: MGP · Wikidata · dblp
 Documents Indexed: 242 Publications since 1987 Reviewing Activity: 57 Reviews
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#### Co-Authors

 28 single-authored 20 Chen, Xingwu 14 Zhang, Wenmeng 13 Xu, Bing 12 Si, Jianguo 12 Tang, Yilei 9 Romanovski, Valery G. 8 Liu, Qian 8 Ruan, Shigui 8 Zhou, Yuqian 7 Deng, Shengfu 7 Du, Zhengdong 6 Agarwal, Ravi P. 6 Jarczyk, Witold 6 Li, Lin 6 Lu, Kening 6 Yan, Rui 6 Yang, Dilian 6 Yu, Zhiheng 6 Zeng, Yingying 5 Huang, Deqing 5 Huang, Wentao 5 Liu, Liu 5 Ng, Che Tat 5 Shen, Jun 5 Yang, Lu 5 Zhou, Linfeng 5 Zhu, Changrong 5 Zou, Lan 4 Hou, Xiaorong 4 Li, Yurong 4 Liu, Lingling 4 Matkowski, Janusz 4 Tang, Xiao 4 Wang, Zhaoxia 3 Dragičević, Davor 3 Gao, Bo 3 Kwek, Keng-Huat 3 Liu, Xiaohua 3 Llibre, Jaume 3 Nikodem, Kazimierz 2 Cheng, Sui Sun 2 Chu, Jifeng 2 He, Zhirong 2 Kim, Gwang Hui 2 Li, Shuping 2 Liu, Yirong 2 Tan, Kay Chen 2 Tang, Huajin 2 Xiao, Dongmei 2 Xu, Jianxin 2 Zdun, Marek Cezary 2 Zeng, Zhenbing 2 Zhang, Jian 2 Zhang, Jingzhong 2 Zhang, Qiuyan 1 Akın-Bohner, Elvan 1 Aybar, Orhan Ozgur 1 Baker, John A. 1 Bing, Xu 1 Brillouët-Belluot, Nicole 1 Brzdęk, Janusz 1 Chen, Jingmin 1 Chen, Li 1 Cheng, Kaijen 1 Choi, Sungkyu 1 Deng, Shenfu 1 Dhage, Bapurao Chandra 1 Gao, Hongjun 1 Gao, Yan 1 Ge, Shuzhi Sam 1 Girgensohn, Roland 1 Gong, Xiaobing 1 Gong, Yun 1 Guo, Qinyi 1 Hale, Jack Kenneth 1 Han, Maoan 1 Járai, Antal jun. 1 Jarczyk, Justyna 1 Kairies, Hans-Heinrich 1 Kannappan, Pl. 1 Koo, Namjip 1 Kou, Hui 1 Kou, Kit-Ian 1 Li, Jie 1 Liao, Fangfang 1 Lin, Yinhe 1 Liu, Jinghua 1 Lu, Tzontzer 1 Luo, Chunlin 1 Luo, Maokang 1 Ng Che Tat 1 Pan, Ya-Jun 1 Qu, Chaochun 1 Salunkhe, S. N. 1 Shi, Shaowen 1 Shi, YongGuo 1 Si, Wen 1 Siegmund, Stefan 1 Stewart, Ian Nicholas 1 Wang, Xinping ...and 15 more Co-Authors
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#### Serials

 22 Journal of Mathematical Analysis and Applications 19 Journal of Differential Equations 11 Applied Mathematics and Computation 11 Journal of Difference Equations and Applications 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Publicationes Mathematicae 7 Computers & Mathematics with Applications 7 Journal of Computational and Applied Mathematics 7 Results in Mathematics 7 Discrete and Continuous Dynamical Systems. Series B 6 Aequationes Mathematicae 5 Mathematical and Computer Modelling 5 Discrete and Continuous Dynamical Systems 4 Acta Mathematica Sinica. New Series 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Science China. Mathematics 3 Acta Mathematica Sinica 3 Advances in Mathematics 3 Acta Mathematicae Applicatae Sinica. English Series 3 Applied Mathematics Letters 3 Science in China. Series A 3 Nonlinear Studies 3 Journal of Theoretical Biology 2 IMA Journal of Applied Mathematics 2 Journal of Mathematical Biology 2 Nonlinearity 2 Advances in Mathematics 2 Annales Polonici Mathematici 2 Journal of Functional Analysis 2 Journal of Sichuan University. Natural Science Edition 2 Journal of Mathematical Research & Exposition 2 Applied Mathematics and Mechanics. (English Edition) 2 SIAM Journal on Applied Mathematics 2 Acta Mathematica Scientia 2 Bulletin des Sciences Mathématiques 2 Mathematical Inequalities & Applications 2 Acta Mathematica Sinica. English Series 2 Mathematical Biosciences and Engineering 1 Journal of Mathematical Physics 1 Studia Mathematica 1 Colloquium Mathematicum 1 Czechoslovak Mathematical Journal 1 Fuzzy Sets and Systems 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Combinatorial Theory. Series A 1 Journal of the Korean Mathematical Society 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Real Analysis Exchange 1 Transactions of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Acta Mathematicae Applicatae Sinica 1 Physica D 1 Journal of Symbolic Computation 1 Annals of Differential Equations 1 Dynamics and Stability of Systems 1 Neural Computation 1 International Journal of Adaptive Control and Signal Processing 1 Dynamic Systems and Applications 1 Elemente der Mathematik 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Kexue Tongbao 1 Chinese Science Bulletin 1 Journal of Dynamics and Differential Equations 1 SIAM Journal on Scientific Computing 1 Journal of Mathematical Sciences (New York) 1 Journal of Convex Analysis 1 Journal of Applied Analysis 1 Journal of the Korean Society of Mathematical Education. Series B. The Pure and Applied Mathematics 1 Nonlinear Analysis. Real World Applications 1 Journal of Systems Science and Complexity 1 Rocznik Naukowo-Dydaktyczny. Prace Matematyczne 1 Journal of Applied Analysis and Computation 1 Nonlinear Analysis. Theory, Methods & Applications 1 IEEE Transactions on Circuits and Systems I: Regular Papers
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#### Fields

 107 Ordinary differential equations (34-XX) 89 Difference and functional equations (39-XX) 85 Dynamical systems and ergodic theory (37-XX) 31 Biology and other natural sciences (92-XX) 30 Real functions (26-XX) 18 Partial differential equations (35-XX) 10 Numerical analysis (65-XX) 7 Computer science (68-XX) 6 Operator theory (47-XX) 5 General topology (54-XX) 4 Systems theory; control (93-XX) 2 Field theory and polynomials (12-XX) 2 Integral equations (45-XX) 2 Convex and discrete geometry (52-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH

183 Publications have been cited 1,731 times in 948 Documents Cited by Year
On Hopf bifurcation in non-smooth planar systems. Zbl 1198.34059
Han, Maoan; Zhang, Weinian
2010
Generalization of a retarded Gronwall-like inequality and its applications. Zbl 1078.26010
Agarwal, Ravi P.; Deng, Shengfu; Zhang, Weinian
2005
Stability of functional equations in single variable. Zbl 1053.39042
Agarwal, Ravi P.; Xu, Bing; Zhang, Weinian
2003
Melnikov method for homoclinic bifurcation in nonlinear impact oscillators. Zbl 1097.37043
Du, Zhengdong; Zhang, Weinian
2005
Discussion on the differentiable solutions of the iterated equation $$\sum_{i=1}^{n}\lambda_ if^ i(x)=F(x)$$. Zbl 0717.39005
Zhang, Weinian
1990
Some advances on functional equations. Zbl 0862.39009
Zhang, Jingzhong; Yang, Lu; Zhang, Weinian
1995
$$PM$$ functions, their characteristic intervals and iterative roots. Zbl 0873.39009
Zhang, Weinian
1997
The Fredholm alternative and exponential dichotomies for parabolic equation. Zbl 0832.34050
Zhang, Weinian
1995
Bifurcation of periodic orbits in a class of planar Filippov systems. Zbl 1181.34015
Du, Zhengdong; Li, Yurong; Zhang, Weinian
2008
Iterative roots of piecewise monotonic functions of nonmonotonicity height not less than 2. Zbl 1298.39020
Liu, Liu; Jarczyk, Witold; Li, Lin; Zhang, Weinian
2012
Discussion on the iterated equation $$\sum ^{n}_{i=1}\lambda _ if^ i(x)=F(x)$$. Zbl 0639.39006
Zhang, Weinian
1987
Coexistence of limit cycles and homoclinic loops in a SIRS model with a nonlinear incidence rate. Zbl 1171.34033
Tang, Yilei; Huang, Deqing; Ruan, Shigui; Zhang, Weinian
2008
Characteristic solutions of polynomial-like iterative equations. Zbl 1060.39019
Yang, Dilian; Zhang, Weinian
2004
Non-monotonic iterative roots extended from characteristic intervals. Zbl 1216.39028
Liu, Liu; Zhang, Weinian
2011
Modeling the transmission dynamics and control of hepatitis B virus in China. Zbl 1403.92316
Zou, Lan; Zhang, Weinian; Ruan, Shigui
2010
Invariant curves for planar mappings. Zbl 0891.34070
Ng, C. T.; Zhang, Weinian
1997
Solutions of equivariance for a polynomial-like iterative equation. Zbl 0983.39010
Zhang, Weinian
2000
Weak centers and bifurcation of critical periods in reversible cubic systems. Zbl 0962.34025
Zhang, Weinian; Hou, Xiaorong; Zeng, Zhenbing
2000
Continuous solutions of a polynomial-like iterative equation with variable coefficients. Zbl 0983.39011
Zhang, Weinian; Baker, John A.
2000
Roughness of tempered exponential dichotomies for infinite-dimensional random difference equations. Zbl 1304.37034
Zhou, Linfeng; Lu, Kening; Zhang, Weinian
2013
Linearizability conditions of time-reversible quartic systems having homogeneous nonlinearities. Zbl 1159.34025
Chen, Xingwu; Romanovski, Valery G.; Zhang, Weinian
2008
Construction of continuous solutions and stability for the polynomial-like iterative equation. Zbl 1111.39020
Xu, Bing; Zhang, Weinian
2007
A note on iterative roots of PM functions. Zbl 1143.39011
Li, Lin; Yang, Dilian; Zhang, Weinian
2008
An age-structured model for the transmission dynamics of hepatitis B. Zbl 1210.35269
Zou, Lan; Ruan, Shigui; Zhang, Weinian
2010
Local bifurcations of critical periods for cubic Liénard equations with cubic damping. Zbl 1163.34349
Zou, Lan; Chen, Xingwu; Zhang, Weinian
2008
Projected Gronwall-Bellman’s inequality for integrable functions. Zbl 0992.26013
Zhang, Weinian; Deng, Shengfu
2001
Heteroclinic bifurcation in a ratio-dependent predator-prey system. Zbl 1067.92050
Tang, Yilei; Zhang, Weinian
2005
Decomposition of algebraic sets and applications to weak centers of cubic systems. Zbl 1178.13015
Chen, Xingwu; Zhang, Weinian
2009
Decreasing solutions and convex solutions of the polynomial-like iterative equation. Zbl 1114.39007
Xu, Bing; Zhang, Weinian
2007
Convex solutions of polynomial-like iterative equations. Zbl 1090.39012
Zhang, Weinian; Nikodem, Kazimierz; Xu, Bing
2006
A generic property of globally smooth iterative roots. Zbl 0838.39005
Zhang, Weinian
1995
Heteroclinic chaotic behavior driven by a Brownian motion. Zbl 1290.34062
Shen, Jun; Lu, Kening; Zhang, Weinian
2013
Isochronicity of centers in a switching Bautin system. Zbl 1247.34062
Chen, Xingwu; Zhang, Weinian
2012
Critical periods of perturbations of reversible rigidly isochronous centers. Zbl 1237.34078
Chen, Xingwu; Romanovski, Valery G.; Zhang, Weinian
2011
Generalized normal sectors and orbits in exceptional directions. Zbl 1089.34028
Tang, Yilei; Zhang, Weinian
2004
Analytic solutions of a functional equation for invariant curves. Zbl 0992.39019
Si, Jianguo; Zhang, Weinian
2001
Generalized exponential dichotomies and invariant manifolds for differential equations. Zbl 0791.34039
Zhang, Weinian
1993
Versal unfoldings of predator-prey systems with ratio-dependent functional response. Zbl 1205.34038
Ruan, Shigui; Tang, Yilei; Zhang, Weinian
2010
Periodic solutions of difference equations with general periodicity. Zbl 1005.39006
Agarwal, R. P.; Zhang, Weinian
2001
Leading coefficient problem for polynomial-like iterative equations. Zbl 1152.39017
Chen, Jingmin; Zhang, Weinian
2009
Computing iterative roots of polygonal functions. Zbl 1120.65132
Zhang, Wanxiong; Zhang, Weinian
2007
Fixed-point results and the Hyers-Ulam stability of linear equations of higher orders. Zbl 1319.39018
Xu, Bing; Brzdęk, Janusz; Zhang, Weinian
2015
A global implicit function theorem without initial point and its applications to control of non-affine systems of high dimensions. Zbl 1084.26005
Zhang, Weinian; Ge, Shuzhi Sam
2006
On existence for polynomial-like iterative equations. Zbl 1060.39020
Zhang, Weinian
2004
Analytic solutions of a class of iterative functional differential equations. Zbl 1044.34020
Si, Jianguo; Zhang, Weinian
2004
Method of characteristic for functional equations in polynomial form. Zbl 0881.39011
Matkowski, Janusz; Zhang, Weinian
1997
Degenerate Hopf bifurcations in a family of FF-type switching systems. Zbl 1327.34023
Chen, Xingwu; Romanovski, Valery G.; Zhang, Weinian
2015
On continuous solutions of $$n$$-th order polynomial-like iterative equations. Zbl 1274.39041
Zhang, Wenmeng; Zhang, Weinian
2010
Analytic solutions of an iterative functional differential equation which may violate the Diophantine condition. Zbl 1057.34067
Xu, Bing; Zhang, Weinian; Si, Jianguo
2004
Bifurcations of a polynomial differential system of degree $$n$$ in biochemical reactions. Zbl 1008.34032
Hou, Xiaorong; Yan, Rui; Zhang, Weinian
2002
Bounded solutions for non-autonomous parabolic equations. Zbl 0857.34065
Zhang, Weinian; Stewart, Ian
1996
Nonlinear integral inequalities of Bihari-type without class $$H$$. Zbl 1090.26015
Choi, Sung Kyu; Deng, Shengfu; Koo, Nam Jip; Zhang, Weinian
2005
On linear dependence of iterates. Zbl 0972.39012
Matkowski, J.; Zhang, W.
2000
Large-eddy simulation of flow over a cylinder with $$Re_{D}$$ from $$3.9\times 10^{3}$$ to $$8.5\times 10^{5}$$: a skin-friction perspective. Zbl 1383.76280
Cheng, Wan; Pullin, D. I.; Samtaney, R.; Zhang, W.; Gao, Wei
2017
Sharp regularity of linearization for $$C^{1,1}$$ hyperbolic diffeomorphisms. Zbl 1288.37026
Zhang, Wenmeng; Zhang, Weinian; Jarczyk, Witold
2014
Impact oscillators with homoclinic orbit tangent to the wall. Zbl 1331.70061
Du, Zhengdong; Li, Yurong; Shen, Jun; Zhang, Weinian
2013
Global solutions for leading coefficient problem of polynomial-like iterative equations. Zbl 1262.39029
Zhang, Wenmeng; Xu, Bing; Zhang, Weinian
2013
$$C^{1}$$ linearization for planar contractions. Zbl 1217.37019
Zhang, Wenmeng; Zhang, Weinian
2011
Continuity of iteration and approximation of iterative roots. Zbl 1219.39008
Zhang, Wenmeng; Zhang, Weinian
2011
Bifurcations of a discrete prey-predator model with Holling type II functional response. Zbl 1200.37043
Li, Shuping; Zhang, Weinian
2010
Iterative roots of mappings with a unique set-value point. Zbl 1212.39028
Li, Lin; Jarczyk, Justyna; Jarczyk, Witold; Zhang, Weinian
2009
Bifurcations in a second-order difference equation from macroeconomics. Zbl 1141.39006
Li, Shuping; Zhang, Weinian
2008
An initial boundary value problem of Camassa-Holm equation. Zbl 0972.35134
Kwek, Keng-Huat; Gao, Hongjun; Zhang, Weinian; Qu, Chaochun
2000
Quadratic invariant curves for a planar mapping. Zbl 0953.39010
Ng, C. T.; Zhang, Weinian
2000
Equivalences between nonuniform exponential dichotomy and admissibility. Zbl 1356.34060
Zhou, Linfeng; Lu, Kening; Zhang, Weinian
2017
Nonuniform dichotomy spectrum and reducibility for nonautonomous equations. Zbl 1344.37038
Chu, Jifeng; Liao, Fang-Fang; Siegmund, Stefan; Xia, Yonghui; Zhang, Weinian
2015
Sharpness for $$C^1$$ linearization of planar hyperbolic diffeomorphisms. Zbl 1300.37023
Zhang, Wenmeng; Zhang, Weinian
2014
Local $$C^1$$ stability versus global $$C^1$$ unstability for iterative roots. Zbl 1368.65081
Zhang, Wenmeng; Zeng, Yingying; Jarczyk, Witold; Zhang, Weinian
2012
Linearizability conditions of a time-reversible quartic-like system. Zbl 1226.34041
Chen, Xingwu; Huang, Wentao; Romanovski, Valery G.; Zhang, Weinian
2011
Koenigs embedding flow problem with global $$C^{1}$$ smoothness. Zbl 1213.37030
Zdun, Marek C.; Zhang, Weinian
2011
Local bifurcations of critical periods in a generalized 2D LV system. Zbl 1175.34052
Wang, Zhaoxia; Chen, Xingwu; Zhang, Weinian
2009
Also set-valued functions do not like iterative roots. Zbl 1144.39017
Jarczyk, Witold; Zhang, Weinian
2007
Conditions of infinity to be an isochronous centre for a rational differential system. Zbl 1137.34015
Huang, Wentao; Liu, Yirong; Zhang, Weinian
2007
Analytic solutions of a nonlinear iterative equation near neutral fixed points and poles. Zbl 1030.39025
Si, Jianguo; Zhang, Weinian
2003
Characteristic analysis for a polynomial-like iterative equation. Zbl 0986.39011
Matkowski, Janusz; Zhang, Weinian
1998
Stability of the solution of the iterated equation $$\sum ^{n}_{i=1}\lambda _ if^ i(x)=F(x)$$. Zbl 0664.39004
Zhang, Weinian
1988
Bounded traveling waves of the Burgers-Huxley equation. Zbl 1207.35052
Zhou, Yuqian; Liu, Qian; Zhang, Weinian
2011
Linearly independent homoclinic bifurcations parameterized by a small function. Zbl 1138.34024
Zhu, Changrong; Zhang, Weinian
2007
Analytic solutions of general nonlinear functional equations near resonance. Zbl 1149.39014
Xu, Bing; Zhang, Weinian
2006
Analsysis of cyclic dynamics for networks of linear threshold neurons. Zbl 1071.92011
Tang, H. J.; Tan, K. C.; Zhang, Weinian
2005
On a multivalued iterative equation. Zbl 1071.39024
Nikodem, Kazimierz; Zhang, Weinian
2004
Computing the heteroclinic bifurcation curves in predator-prey systems with ratio-dependent functional response. Zbl 1160.34048
Ruan, Shigui; Tang, Yilei; Zhang, Weinian
2008
Non-isochronicity of the center at the origin in polynomial Hamiltonian systems with even degree nonlinearities. Zbl 1144.34021
Chen, Xingwu; Romanovski, Valery G.; Zhang, Weinian
2008
Analytic solutions of a second-order nonautonomous iterative functional differential equation. Zbl 1083.34060
Si, Jianguo; Zhang, Weinian
2005
Solutions of equivariance for iterative differential equations. Zbl 1068.34069
Yang, Dilian; Zhang, Weinian
2004
On the polynomial-like iterative functional equation. Zbl 0976.39014
Matkowski, Janusz; Zhang, Weinian
2000
Existence of closed orbits for a differential equation model concerning multi-molecule reactions. Zbl 0774.92010
Zhang, Weinian
1993
Admissibility and roughness of nonuniform exponential dichotomies for difference equations. Zbl 1383.39003
Zhou, Linfeng; Zhang, Weinian
2016
Identifying weak foci and centers in the Maxwell-Bloch system. Zbl 1322.34050
Liu, Lingling; Aybar, O. Ozgur; Romanovski, Valery G.; Zhang, Weinian
2015
Convex solutions of the polynomial-like iterative equation in Banach spaces. Zbl 1299.39013
Gong, Xiaobing; Zhang, Weinian
2013
Linearizability and local bifurcation of critical periods in a cubic Kolmogorov system. Zbl 1280.34033
Chen, Xingwu; Huang, Wentao; Romanovski, Valery G.; Zhang, Weinian
2013
Construction of usc solutions for a multivalued iterative equation of order $$n$$. Zbl 1267.39015
Li, Lin; Zhang, Weinian
2012
Planar quadratic degree-preserving maps and their iteration. Zbl 1190.39009
Chen, Xingwu; Shi, Yongguo; Zhang, Weinian
2009
Computation of bifurcation manifolds of linearly independent homoclinic orbits. Zbl 1160.34043
Zhu, Changrong; Zhang, Weinian
2008
Bifurcation of travelling wave solutions for the modified dispersive water wave equation. Zbl 1153.34028
Liu, Qian; Zhou, Yuqian; Zhang, Weinian
2008
Type I periodic motions for nonlinear impact oscillators. Zbl 1144.34026
Du, Zhengdong; Li, Yurong; Zhang, Weinian
2007
Bogdanov-Takens bifurcation of a polynomial differential system in biochemical reaction. Zbl 1058.92021
Tang, Yilei; Zhang, Weinian
2004
Analytic solutions of a $$q$$-difference equation and applications to iterative equations. Zbl 1067.39035
Si, Jianguo; Zhang, Weinian
2004
Hyers-Ulam stability for a nonlinear iterative equation. Zbl 1018.39017
Xu, Bing; Zhang, Weinian
2002
Analytic invariant curves for a planar map. Zbl 1088.37507
Si, Jian-Guo; Wang, Xin-Ping; Zhang, Wei-Nian
2002
Instabilities in a combustion model with two free interfaces. Zbl 1429.35212
Addona, D.; Brauner, C.-M.; Lorenzi, L.; Zhang, W.
2020
Asymptotic stability of nonuniform behaviour. Zbl 1410.39009
Dragičević, Davor; Zhang, Weinian
2019
Continuous solutions of a second order iterative equation. Zbl 1424.39049
Tang, Xiao; Zhang, Weinian
2018
Mean-square almost automorphic solutions for stochastic differential equations with hyperbolicity. Zbl 1431.60050
Zhu, Hailong; Chu, Jifeng; Zhang, Weinian
2018
The question on characteristic endpoints for iterative roots of PM functions. Zbl 1375.26008
Li, Lin; Zhang, Weinian
2018
Large-eddy simulation of flow over a cylinder with $$Re_{D}$$ from $$3.9\times 10^{3}$$ to $$8.5\times 10^{5}$$: a skin-friction perspective. Zbl 1383.76280
Cheng, Wan; Pullin, D. I.; Samtaney, R.; Zhang, W.; Gao, Wei
2017
Equivalences between nonuniform exponential dichotomy and admissibility. Zbl 1356.34060
Zhou, Linfeng; Lu, Kening; Zhang, Weinian
2017
Bogdanov-Takens bifurcations in the enzyme-catalyzed reaction comprising a branched network. Zbl 1368.34066
Zhang, Qiuyan; Liu, Lingling; Zhang, Weinian
2017
Averaging approach to cyclicity of Hopf bifurcation in planar linear-quadratic polynomial discontinuous differential systems. Zbl 1371.37101
Chen, Xingwu; Llibre, Jaume; Zhang, Weinian
2017
Restricted independence in displacement function for better estimation of cyclicity. Zbl 1375.34045
Chen, Xingwu; Llibre, Jaume; Wang, Zhaoxia; Zhang, Weinian
2017
Differentiability of the conjugacy in the Hartman-Grobman theorem. Zbl 1362.37053
Zhang, Wenmeng; Lu, Kening; Zhang, Weinian
2017
Homoclinic finger-rings in $$\mathbb{R}^N$$. Zbl 1442.34080
Zhu, Changrong; Zhang, Weinian
2017
Dynamics of epidemic models with asymptomatic infection and seasonal succession. Zbl 1365.92135
Tang, Yilei; Xiao, Dongmei; Zhang, Weinian; Zhu, Di
2017
Iterative roots of clenched single-plateau functions. Zbl 1375.26009
Lin, Yinhe; Zeng, Yingying; Zhang, Weinian
2017
Admissibility and roughness of nonuniform exponential dichotomies for difference equations. Zbl 1383.39003
Zhou, Linfeng; Zhang, Weinian
2016
A powered Gronwall-type inequality and applications to stochastic differential equations. Zbl 1353.26033
Zhou, Jun; Shen, Jun; Zhang, Weinian
2016
Normal forms of planar switching systems. Zbl 1368.37057
Chen, Xingwu; Zhang, Weinian
2016
Global dynamics of three species omnivory models with Lotka-Volterra interaction. Zbl 1351.37278
Yang, Ting-Hui; Zhang, Weinian; Cheng, Kaijen
2016
Conditions for polynomial Liénard centers. Zbl 1353.34040
Yu, Zhiheng; Zhang, Weinian
2016
$$\alpha$$-Hölder linearization of hyperbolic diffeomorphisms with resonance. Zbl 1354.37030
Zhang, Wenmeng; Zhang, Weinian
2016
On invariant manifolds and invariant foliations without a spectral gap. Zbl 1366.37069
Zhang, Wenmeng; Zhang, Weinian
2016
Versal unfolding of planar Hamiltonian systems at fully degenerate equilibrium. Zbl 1353.37117
Tang, Yilei; Zhang, Weinian
2016
Fixed-point results and the Hyers-Ulam stability of linear equations of higher orders. Zbl 1319.39018
Xu, Bing; Brzdęk, Janusz; Zhang, Weinian
2015
Degenerate Hopf bifurcations in a family of FF-type switching systems. Zbl 1327.34023
Chen, Xingwu; Romanovski, Valery G.; Zhang, Weinian
2015
Nonuniform dichotomy spectrum and reducibility for nonautonomous equations. Zbl 1344.37038
Chu, Jifeng; Liao, Fang-Fang; Siegmund, Stefan; Xia, Yonghui; Zhang, Weinian
2015
Identifying weak foci and centers in the Maxwell-Bloch system. Zbl 1322.34050
Liu, Lingling; Aybar, O. Ozgur; Romanovski, Valery G.; Zhang, Weinian
2015
Local bifurcations of the enzyme-catalyzed reaction comprising a branched network. Zbl 1317.34080
Zhang, Qiuyan; Liu, Lingling; Zhang, Weinian
2015
On the sexual transmission dynamics of hepatitis B virus in China. Zbl 1406.92650
Zou, Lan; Ruan, Shigui; Zhang, Weinian
2015
Invariant curves for a second-order difference equation modelled from macroeconomics. Zbl 1330.39006
Liu, Jinghua; Yu, Zhiheng; Zhang, Weinian
2015
Control exponential growth of tumor cells with slow spread of oncolytic virus. Zbl 1412.92160
Si, Wen; Zhang, Weinian
2015
Sharp regularity of linearization for $$C^{1,1}$$ hyperbolic diffeomorphisms. Zbl 1288.37026
Zhang, Wenmeng; Zhang, Weinian; Jarczyk, Witold
2014
Sharpness for $$C^1$$ linearization of planar hyperbolic diffeomorphisms. Zbl 1300.37023
Zhang, Wenmeng; Zhang, Weinian
2014
Iterative learning control for a class of non-affine-in-input processes in Hilbert space. Zbl 1330.93085
Guo, Qinyi; Huang, Deqing; Luo, Chunlin; Zhang, Weinian
2014
Identification of focus and center in a 3-dimensional system. Zbl 1287.34023
Liu, Lingling; Gao, Bo; Xiao, Dongmei; Zhang, Weinian
2014
Persistent centers of complex systems. Zbl 1291.34061
Chen, Xingwu; Romanovski, Valery G.; Zhang, Weinian
2014
Roughness of tempered exponential dichotomies for infinite-dimensional random difference equations. Zbl 1304.37034
Zhou, Linfeng; Lu, Kening; Zhang, Weinian
2013
Heteroclinic chaotic behavior driven by a Brownian motion. Zbl 1290.34062
Shen, Jun; Lu, Kening; Zhang, Weinian
2013
Impact oscillators with homoclinic orbit tangent to the wall. Zbl 1331.70061
Du, Zhengdong; Li, Yurong; Shen, Jun; Zhang, Weinian
2013
Global solutions for leading coefficient problem of polynomial-like iterative equations. Zbl 1262.39029
Zhang, Wenmeng; Xu, Bing; Zhang, Weinian
2013
Convex solutions of the polynomial-like iterative equation in Banach spaces. Zbl 1299.39013
Gong, Xiaobing; Zhang, Weinian
2013
Linearizability and local bifurcation of critical periods in a cubic Kolmogorov system. Zbl 1280.34033
Chen, Xingwu; Huang, Wentao; Romanovski, Valery G.; Zhang, Weinian
2013
Bounded traveling waves of the generalized Burgers-Fisher equation. Zbl 1270.34090
Zhou, Yuqian; Liu, Qian; Zhang, Weinian
2013
Iterative roots of piecewise monotonic functions of nonmonotonicity height not less than 2. Zbl 1298.39020
Liu, Liu; Jarczyk, Witold; Li, Lin; Zhang, Weinian
2012
Isochronicity of centers in a switching Bautin system. Zbl 1247.34062
Chen, Xingwu; Zhang, Weinian
2012
Local $$C^1$$ stability versus global $$C^1$$ unstability for iterative roots. Zbl 1368.65081
Zhang, Wenmeng; Zeng, Yingying; Jarczyk, Witold; Zhang, Weinian
2012
Construction of usc solutions for a multivalued iterative equation of order $$n$$. Zbl 1267.39015
Li, Lin; Zhang, Weinian
2012
Differential elimination with Dixon resultants. Zbl 1257.34024
Yang, Lu; Zeng, Zhenbing; Zhang, Weinian
2012
Discussion on polynomials having polynomial iterative roots. Zbl 1254.12002
Yu, Zhiheng; Yang, Lu; Zhang, Weinian
2012
Real polynomial iterative roots in the case of nonmonotonicity height $$\geqslant 2$$. Zbl 1259.68246
Yang, LiLi; Yang, Lu; Yu, ZhiHeng; Zhang, WeiNian
2012
Non-monotonic iterative roots extended from characteristic intervals. Zbl 1216.39028
Liu, Liu; Zhang, Weinian
2011
Critical periods of perturbations of reversible rigidly isochronous centers. Zbl 1237.34078
Chen, Xingwu; Romanovski, Valery G.; Zhang, Weinian
2011
$$C^{1}$$ linearization for planar contractions. Zbl 1217.37019
Zhang, Wenmeng; Zhang, Weinian
2011
Continuity of iteration and approximation of iterative roots. Zbl 1219.39008
Zhang, Wenmeng; Zhang, Weinian
2011
Linearizability conditions of a time-reversible quartic-like system. Zbl 1226.34041
Chen, Xingwu; Huang, Wentao; Romanovski, Valery G.; Zhang, Weinian
2011
Koenigs embedding flow problem with global $$C^{1}$$ smoothness. Zbl 1213.37030
Zdun, Marek C.; Zhang, Weinian
2011
Bounded traveling waves of the Burgers-Huxley equation. Zbl 1207.35052
Zhou, Yuqian; Liu, Qian; Zhang, Weinian
2011
Direct parametric analysis of an enzyme-catalyzed reaction model. Zbl 1229.92044
Tang, Yilei; Huang, Deqing; Zhang, Weinian
2011
On a multivalued iterative equation of order $$n$$. Zbl 1235.39013
Xu, Bing; Nikodem, Kazimierz; Zhang, Weinian
2011
Continuous solutions of an iterative-difference equation and Brillouët-Belluot’s problem. Zbl 1240.39045
Zeng, Yingying; Zhang, Weinian
2011
Bifurcation of limit cycles and isochronous center at infinity for a class of differential systems. Zbl 1304.34060
Huang, Wentao; Liu, Yirong; Zhang, Weinian
2011
Dynamics of a model of allelopathy and bacteriocin with a single mutation. Zbl 1209.34061
Zou, Lan; Chen, Xingwu; Ruan, Shigui; Zhang, Weinian
2011
On Hopf bifurcation in non-smooth planar systems. Zbl 1198.34059
Han, Maoan; Zhang, Weinian
2010
Modeling the transmission dynamics and control of hepatitis B virus in China. Zbl 1403.92316
Zou, Lan; Zhang, Weinian; Ruan, Shigui
2010
An age-structured model for the transmission dynamics of hepatitis B. Zbl 1210.35269
Zou, Lan; Ruan, Shigui; Zhang, Weinian
2010
Versal unfoldings of predator-prey systems with ratio-dependent functional response. Zbl 1205.34038
Ruan, Shigui; Tang, Yilei; Zhang, Weinian
2010
On continuous solutions of $$n$$-th order polynomial-like iterative equations. Zbl 1274.39041
Zhang, Wenmeng; Zhang, Weinian
2010
Bifurcations of a discrete prey-predator model with Holling type II functional response. Zbl 1200.37043
Li, Shuping; Zhang, Weinian
2010
On a class of iterative-difference equations. Zbl 1227.39016
Brillouët-Belluot, Nicole; Zhang, Weinian
2010
Persistence of bounded solutions to degenerate Sobolev-Galpern equations. Zbl 1209.35071
Zhu, Chang Rong; Zhang, Wei Nian
2010
Parametric normal forms of vector fields and their further simplification. Zbl 1220.34058
Gao, Bo; Zhang, Weinian
2010
Distribution of roots of cubic equations. Zbl 1195.65065
Huang, Deqing; Tang, Yilei; Zhang, Weinian
2010
Non-isochronicity of the center in polynomial Hamiltonian systems. Zbl 1211.34040
Wang, Zhaoxia; Chen, Xingwu; Zhang, Weinian
2010
Decomposition of algebraic sets and applications to weak centers of cubic systems. Zbl 1178.13015
Chen, Xingwu; Zhang, Weinian
2009
Leading coefficient problem for polynomial-like iterative equations. Zbl 1152.39017
Chen, Jingmin; Zhang, Weinian
2009
Iterative roots of mappings with a unique set-value point. Zbl 1212.39028
Li, Lin; Jarczyk, Justyna; Jarczyk, Witold; Zhang, Weinian
2009
Local bifurcations of critical periods in a generalized 2D LV system. Zbl 1175.34052
Wang, Zhaoxia; Chen, Xingwu; Zhang, Weinian
2009
Planar quadratic degree-preserving maps and their iteration. Zbl 1190.39009
Chen, Xingwu; Shi, Yongguo; Zhang, Weinian
2009
Critical periods of a periodic annulus linking to equilibria at infinity in a cubic system. Zbl 1180.34034
He, Zhirong; Zhang, Weinian
2009
Bifurcation of periodic orbits in a class of planar Filippov systems. Zbl 1181.34015
Du, Zhengdong; Li, Yurong; Zhang, Weinian
2008
Coexistence of limit cycles and homoclinic loops in a SIRS model with a nonlinear incidence rate. Zbl 1171.34033
Tang, Yilei; Huang, Deqing; Ruan, Shigui; Zhang, Weinian
2008
Linearizability conditions of time-reversible quartic systems having homogeneous nonlinearities. Zbl 1159.34025
Chen, Xingwu; Romanovski, Valery G.; Zhang, Weinian
2008
A note on iterative roots of PM functions. Zbl 1143.39011
Li, Lin; Yang, Dilian; Zhang, Weinian
2008
Local bifurcations of critical periods for cubic Liénard equations with cubic damping. Zbl 1163.34349
Zou, Lan; Chen, Xingwu; Zhang, Weinian
2008
Bifurcations in a second-order difference equation from macroeconomics. Zbl 1141.39006
Li, Shuping; Zhang, Weinian
2008
Computing the heteroclinic bifurcation curves in predator-prey systems with ratio-dependent functional response. Zbl 1160.34048
Ruan, Shigui; Tang, Yilei; Zhang, Weinian
2008
Non-isochronicity of the center at the origin in polynomial Hamiltonian systems with even degree nonlinearities. Zbl 1144.34021
Chen, Xingwu; Romanovski, Valery G.; Zhang, Weinian
2008
Computation of bifurcation manifolds of linearly independent homoclinic orbits. Zbl 1160.34043
Zhu, Changrong; Zhang, Weinian
2008
Bifurcation of travelling wave solutions for the modified dispersive water wave equation. Zbl 1153.34028
Liu, Qian; Zhou, Yuqian; Zhang, Weinian
2008
Asymmetric type II periodic motions for nonlinear impact oscillators. Zbl 1158.34031
Li, Yurong; Du, Zhengdong; Zhang, Weinian
2008
Small divisor problem for an analytic $$q$$-difference equation. Zbl 1146.39035
Xu, Bing; Zhang, Weinian
2008
A weaker criterion of asymptotic stability. Zbl 1152.34352
Gao, Bo; Zhang, Weinian
2008
Oscillatory and asymptotic properties of higher order nonlinear neutral difference equations. Zbl 1162.39016
Zhou, Xiaoliang; Zhang, Weinian
2008
Bifurcation of travelling wave solutions for the $$(2+1)$$-dimensional Broer-Kau-Kupershmidt equation. Zbl 1159.65100
Zhou, Yuqian; Liu, Qian; Zhang, Weinian
2008
Construction of continuous solutions and stability for the polynomial-like iterative equation. Zbl 1111.39020
Xu, Bing; Zhang, Weinian
2007
Decreasing solutions and convex solutions of the polynomial-like iterative equation. Zbl 1114.39007
Xu, Bing; Zhang, Weinian
2007
Computing iterative roots of polygonal functions. Zbl 1120.65132
Zhang, Wanxiong; Zhang, Weinian
2007
Also set-valued functions do not like iterative roots. Zbl 1144.39017
Jarczyk, Witold; Zhang, Weinian
2007
Conditions of infinity to be an isochronous centre for a rational differential system. Zbl 1137.34015
Huang, Wentao; Liu, Yirong; Zhang, Weinian
2007
Linearly independent homoclinic bifurcations parameterized by a small function. Zbl 1138.34024
Zhu, Changrong; Zhang, Weinian
2007
Type I periodic motions for nonlinear impact oscillators. Zbl 1144.34026
Du, Zhengdong; Li, Yurong; Zhang, Weinian
2007
...and 83 more Documents
all top 5

#### Cited by 1,132 Authors

 121 Zhang, Weinian 30 Brzdęk, Janusz 29 Wang, Wusheng 28 Han, Maoan 27 Llibre, Jaume 24 Romanovski, Valery G. 19 Chen, Xingwu 19 Xu, Bing 18 Popa, Dorian 17 Tang, Yilei 16 Dragičević, Davor 16 Li, Lin 14 Huang, Wentao 14 Valls Anglés, Cláudia 13 Zhang, Wenmeng 11 Liang, Feng 11 Lu, Kening 11 Yu, Zhiheng 11 Zhao, Houyu 10 Barreira, Luis Manuel 10 Du, Zhengdong 10 Ruan, Shigui 10 Si, Jianguo 10 Zhang, Xiang 9 Ciepliński, Krzysztof 9 Deng, Shengfu 9 Liu, Liu 9 Shen, Jun 9 Shi, YongGuo 9 Wu, Yusen 9 Yu, Pei 8 Huang, Lihong 8 Meng, Fanwei 8 Wang, Bixiang 8 Zdun, Marek Cezary 8 Zheng, Bin 8 Zhu, Changrong 7 Agarwal, Ravi P. 7 Feng, Qinghua 7 Feng, Zhaosheng 7 Leśniak, Zbigniew 7 Liu, Yirong 7 Novaes, Douglas Duarte 7 Song, Wei 7 Xia, Yonghui 7 Zhang, Wei 6 Chen, Hebai 6 Eldeeb, Ahmed Abdel-Moneim 6 Giné, Jaume 6 Hao, Yuxin 6 Li, Feng 6 Li, Shuangbao 6 Li, Zizun 6 Liu, Lingling 6 Peng, Linping 6 Samtaney, Ravi 6 Sasu, Adina Luminiţa 6 Teixeira, Marco Antonio 6 Torregrosa, Joan 6 Wang, Zhaoxia 6 Zeng, Yingying 6 Zhang, Pingping 6 Zheng, Kelong 5 Abdeldaim, A. 5 Cheng, Wan 5 Gong, Xiaobing 5 Gu, Anhui 5 Guo, Chunxiang 5 Huang, Jicai 5 Li, Shimin 5 Li, Tao 5 Li, Yurong 5 Liu, Qian 5 Mi, Yuzhen 5 Morawiec, Janusz 5 Pullin, Dale I. 5 Sasu, Bogdan 5 Wei, Lijun 5 Xu, Tianzhou 5 Yang, Xiaosong 5 Zaman, Gul 5 Zhong, Jiyu 5 Zhou, Xiaoliang 5 Zhou, Yuqian 4 Bai, Yuzhen 4 Baias, Alina-Ramona 4 Cădariu, Liviu I. 4 Chen, Aiyong 4 Ding, Xiaoquan 4 Draga, Szymon 4 Fernandes, Wilker 4 Jarczyk, Witold 4 Jung, Soon-Mo 4 Khan, Tahir Saeed 4 Kim, Youngho 4 Li, Liping 4 Li, Xiaopei 4 Liu, Changjian 4 Liu, Hanze 4 Liu, Jinghua ...and 1,032 more Authors
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#### Cited in 178 Serials

 80 Journal of Mathematical Analysis and Applications 76 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 60 Journal of Differential Equations 47 Applied Mathematics and Computation 33 Nonlinear Dynamics 33 Abstract and Applied Analysis 32 Advances in Difference Equations 31 Journal of Inequalities and Applications 26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 24 Aequationes Mathematicae 23 Journal of Difference Equations and Applications 22 Discrete and Continuous Dynamical Systems. Series B 16 Computers & Mathematics with Applications 16 Discrete Dynamics in Nature and Society 16 Qualitative Theory of Dynamical Systems 16 Journal of Applied Mathematics 14 Journal of Computational and Applied Mathematics 14 Nonlinear Analysis. Real World Applications 13 Chaos, Solitons and Fractals 13 Discrete and Continuous Dynamical Systems 11 Results in Mathematics 11 Applied Mathematics Letters 10 Mathematical and Computer Modelling 9 Journal of Dynamics and Differential Equations 9 Science China. Mathematics 8 Acta Mathematicae Applicatae Sinica. English Series 8 Acta Mathematica Sinica. English Series 7 Journal of Fluid Mechanics 7 Bulletin des Sciences Mathématiques 7 Fixed Point Theory and Applications 6 Communications on Pure and Applied Analysis 6 Journal of Function Spaces 5 Mathematical Methods in the Applied Sciences 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Mathematical Biosciences and Engineering 5 Journal of Fixed Point Theory and Applications 4 Advances in Mathematics 4 Science in China. Series A 4 Neural Computation 4 Applied Mathematical Modelling 4 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Mathematical Inequalities 4 Journal of Theoretical Biology 4 Journal of Applied Analysis and Computation 3 Applicable Analysis 3 Journal of Mathematical Biology 3 Mathematical Biosciences 3 Nonlinearity 3 Proceedings of the American Mathematical Society 3 Chinese Annals of Mathematics. Series B 3 Linear Algebra and its Applications 3 Chaos 3 Journal of Biological Systems 3 Dynamical Systems 3 Mediterranean Journal of Mathematics 3 Journal of Nonlinear Science and Applications 2 Bulletin of the Australian Mathematical Society 2 Computers and Fluids 2 Journal of Engineering Mathematics 2 Journal of the Franklin Institute 2 Journal of Mathematical Physics 2 Reports on Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Bulletin of Mathematical Biology 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Functional Analysis 2 Mathematische Zeitschrift 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Mathematica Hungarica 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Physica D 2 Acta Mathematica Sinica. New Series 2 Journal of Nonlinear Science 2 Electronic Journal of Differential Equations (EJDE) 2 Computational and Applied Mathematics 2 Journal of the Egyptian Mathematical Society 2 Turkish Journal of Mathematics 2 Mathematical Problems in Engineering 2 Journal of Applied Analysis 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Journal of Applied Mathematics and Computing 2 Central European Journal of Mathematics 2 Journal of Biological Dynamics 2 Computational & Mathematical Methods in Medicine 2 Nonlinear Analysis. Hybrid Systems 2 International Journal of Biomathematics 2 International Journal of Differential Equations 2 Symmetry 1 International Journal of Modern Physics B 1 Advances in Applied Probability 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Systems Science 1 Israel Journal of Mathematics 1 Lithuanian Mathematical Journal 1 Journal of Geometry and Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Automatica 1 Czechoslovak Mathematical Journal 1 Demonstratio Mathematica ...and 78 more Serials
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#### Cited in 43 Fields

 463 Ordinary differential equations (34-XX) 244 Difference and functional equations (39-XX) 241 Dynamical systems and ergodic theory (37-XX) 134 Biology and other natural sciences (92-XX) 130 Real functions (26-XX) 89 Partial differential equations (35-XX) 64 Operator theory (47-XX) 31 Numerical analysis (65-XX) 27 Probability theory and stochastic processes (60-XX) 26 Systems theory; control (93-XX) 19 Integral equations (45-XX) 16 Computer science (68-XX) 15 Fluid mechanics (76-XX) 14 Functional analysis (46-XX) 13 General topology (54-XX) 11 Mechanics of particles and systems (70-XX) 10 Functions of a complex variable (30-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Mechanics of deformable solids (74-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Number theory (11-XX) 5 Commutative algebra (13-XX) 4 Optics, electromagnetic theory (78-XX) 3 Field theory and polynomials (12-XX) 3 Special functions (33-XX) 3 Manifolds and cell complexes (57-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 2 Relativity and gravitational theory (83-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

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