## Shi, Yuming

Compute Distance To:
 Author ID: shi.yuming Published as: Shi, Yuming; Shi, Yu Ming
 Documents Indexed: 140 Publications since 1989 Co-Authors: 40 Co-Authors with 96 Joint Publications 1,219 Co-Co-Authors
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### Co-Authors

 22 single-authored 15 Chen, Guanrong 11 Shao, Hua 10 Sun, Huaqing 10 Zhu, Hao 9 Ren, Guojing 8 Zhang, Lijuan 7 Liu, Yan 7 Zhang, Xu 5 Huang, Qiuling 5 Liang, Wei 4 Chen, Shaozhu 4 Li, Zongcheng 4 Yu, Pei 4 Zhang, Chao 3 Liu, Guangxu 3 Lv, Haiyan 3 Mathiyalagan, Kalidass 3 Xu, Guixin 2 Gao, Canzhu 2 Ju, Hyonhui 2 Li, Risong 2 Sakthivel, Rathinasamy 2 Santra, Srimanta 2 Shao, Chunmei 2 Sun, Shurong 2 Xing, Qiuju 1 Anthoni, Selvaraj Marshal 1 Bączyk, P. 1 Banerjee, Prasanta K. 1 Chen, Jingnian 1 Choe, Yunmi 1 Dobaczewski, Jacek 1 Dudek, Jozef Jon 1 Embury, J. D. 1 Gao, Qingling 1 Han, Zhenlai 1 Jian, Wenwen 1 Jiang, Maoze 1 Kaviarasan, Boomipalagan 1 Kong, Qingkai 1 Konieczka, M. 1 Li, Tatsien 1 Lin, Mu 1 Liu, Zhibin 1 Lloyd, David J. B. 1 Meng, Dongyuan 1 Qin, Tiehu 1 Satuła, W. 1 Schunck, N. 1 Shuang, H. Q. 1 Song, Cuihua 1 Tang, Yun 1 Tian, Chuanjun 1 Wang, Yan 1 Werner, T. R. 1 Wu, Hongyou 1 Wu, Peidong 1 Xia, H. H. 1 Xiao, Wei 1 Xu, Chuansheng 1 Yu, Panpan 1 Zhu, Dongmei
all top 5

### Serials

 15 Linear Algebra and its Applications 13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 12 Journal of Mathematical Analysis and Applications 10 Journal of Difference Equations and Applications 8 Computers & Mathematics with Applications 7 Chaos, Solitons and Fractals 3 Linear and Multilinear Algebra 3 Journal of Qufu Normal University. Natural Science 3 Abstract and Applied Analysis 3 Nonlinear Analysis. Theory, Methods & Applications 2 Computers and Fluids 2 Indian Journal of Pure & Applied Mathematics 2 Journal of the Franklin Institute 2 Physics Letters. A 2 Applied Mathematics and Computation 2 Journal of Differential Equations 2 Mathematische Nachrichten 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the American Mathematical Society 2 Annals of Differential Equations 2 Applied Mathematics. Series A (Chinese Edition) 2 Dynamical Systems 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Bulletin of the Australian Mathematical Society 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 Journal of Computational Physics 1 Journal of Sound and Vibration 1 Journal of Functional Analysis 1 Management Science 1 Journal of Operator Theory 1 Chinese Annals of Mathematics. Series B 1 Journal of Fudan University. Natural Science 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Mathematica Applicata 1 Science in China. Series A 1 Communications in Partial Differential Equations 1 Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Mathematical Inequalities & Applications 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Applied Statistics 1 European Journal of Mechanics. A. Solids 1 Communications in Nonlinear Science and Numerical Simulation 1 Qualitative Theory of Dynamical Systems 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Stochastics and Dynamics 1 Advances in Difference Equations 1 Journal of Computational Acoustics 1 Boundary Value Problems 1 Complex Analysis and Operator Theory 1 Advances in Applied Mathematics and Mechanics 1 Science China. Mathematics 1 Journal of Discrete Mathematics 1 Journal of Shanghai Normal University. Natural Sciences
all top 5

### Fields

 55 Dynamical systems and ergodic theory (37-XX) 45 Difference and functional equations (39-XX) 41 Ordinary differential equations (34-XX) 27 Operator theory (47-XX) 10 Systems theory; control (93-XX) 7 Fluid mechanics (76-XX) 6 Partial differential equations (35-XX) 6 Operations research, mathematical programming (90-XX) 3 General topology (54-XX) 3 Mechanics of deformable solids (74-XX) 3 Quantum theory (81-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

106 Publications have been cited 1,232 times in 420 Documents Cited by Year
Chaos of discrete dynamical systems in complete metric spaces. Zbl 1067.37047
Shi, Yuming; Chen, Guanrong
2004
Weyl–Titchmarsh theory for a class of discrete linear Hamiltonian systems. Zbl 1100.39020
Shi, Yuming
2006
Spectral theory of second-order vector difference equations. Zbl 0934.39002
Shi, Yuming; Chen, Shaozhu
1999
Eigenvalues of second-order difference equations with periodic and antiperiodic boundary conditions. Zbl 1083.39019
Wang, Yi; Shi, Yuming
2005
Self-adjoint extensions for second-order symmetric linear difference equations. Zbl 1210.39004
Shi, Yuming; Sun, Huaqing
2011
Defect indices and definiteness conditions for a class of discrete linear Hamiltonian systems. Zbl 1256.39004
Ren, Guojing; Shi, Yuming
2011
Chaos induced by regular snap-back repellers. Zbl 1131.37023
Shi, Yuming; Yu, Pei
2008
Chaos of time-varying discrete dynamical systems. Zbl 1173.37032
Shi, Yuming; Chen, Guanrong
2009
Chaotification of discrete dynamical systems in Banach spaces. Zbl 1185.37084
Shi, Yuming; Yu, Pei; Chen, Guanrong
2006
Stability and chaos in 2-D discrete systems. Zbl 1071.37018
Chen, Guanrong; Tian, Chuanjun; Shi, Yuming
2005
On the rank of the matrix radius of the limiting set for a singular linear Hamiltonian system. Zbl 1047.37041
Shi, Yuming
2004
Discrete chaos in Banach spaces. Zbl 1170.37306
Shi, Yuming; Chen, Guanrong
2005
The Glazman-Krein-Naimark theory for Hermitian subspaces. Zbl 1260.47007
Shi, Yuming
2012
Eigenvalues of second-order difference equations with coupled boundary conditions. Zbl 1092.39011
Sun, Huaqing; Shi, Yuming
2006
Coupled-expanding maps and one-sided symbolic dynamical systems. Zbl 1197.37010
Shi, Yuming; Ju, Hyonhui; Chen, Guanrong
2009
Study on chaos induced by turbulent maps in noncompact sets. Zbl 1106.37008
Shi, Yuming; Yu, Pei
2006
Spectral properties of self-adjoint subspaces. Zbl 1268.47003
Shi, Yuming; Shao, Chunmei; Ren, Guojing
2013
Sensitivity of non-autonomous discrete dynamical systems. Zbl 1370.37031
Huang, Qiuling; Shi, Yuming; Zhang, Lijuan
2015
Spectral theory of discrete linear Hamiltonian systems. Zbl 1047.39016
Shi, Yuming
2004
Self-adjoint extensions for singular linear Hamiltonian systems. Zbl 1228.47026
Sun, Huaqing; Shi, Yuming
2011
The defect index of singular symmetric linear difference equations with real coefficients. Zbl 1196.39003
Ren, Guojing; Shi, Yuming
2010
Strong limit point criteria for a class of singular discrete linear Hamiltonian systems. Zbl 1132.39014
Sun, Huaqing; Shi, Yuming
2007
Linear optimal designs and optimal contingency plans. Zbl 0707.90058
Lee, Y. R.; Shi, Y.; Yu, P. L.
1990
The limit circle and limit point criteria for second-order linear difference equations. Zbl 1073.39011
Chen, Jingnian; Shi, Yuming
2004
Introduction to anti-control of discrete chaos: Theory and applications. Zbl 1152.93394
Chen, Guanrong; Shi, Yuming
2006
Devaney chaos in nonautonomous discrete systems. Zbl 1349.37044
Zhu, Hao; Shi, Yuming; Shao, Hua
2016
Coupled-expanding maps for irreducible transition matrices. Zbl 1208.37012
Zhang, Xu; Shi, Yuming
2010
Self-adjoint extensions for linear Hamiltonian systems with two singular endpoints. Zbl 1202.47012
Sun, Huaqing; Shi, Yuming
2010
Boundary element methods for convective heat transfer. Zbl 0771.76046
Shi, Y.; Banerjee, P. K.
1993
Stronger forms of sensitivity for measure-preserving maps and semiflows on probability spaces. Zbl 1474.37002
Li, Risong; Shi, Yuming
2014
Constructing chaotic polynomial maps. Zbl 1170.37318
Zhang, Xu; Shi, Yuming; Chen, Guanrong
2009
Chaos in nonautonomous discrete dynamical systems approached by their induced systems. Zbl 1258.37023
Shi, Yuming
2012
Self-adjoint extensions for discrete linear Hamiltonian systems. Zbl 1291.39018
Ren, Guojing; Shi, Yuming
2014
Several sufficient conditions for sensitive dependence on initial conditions. Zbl 1180.37005
Li, Risong; Shi, Yuming
2010
Strong Li-Yorke chaos for time-varying discrete dynamical systems with a-coupled-expansion. Zbl 1330.37036
Shao, Hua; Shi, Yuming; Zhu, Hao
2015
Spectral theory of higher-order discrete vector Sturm-Liouville problems. Zbl 0977.39010
Shi, Yuming; Chen, Shaozhu
2001
Resolvent convergence and spectral approximations of sequences of self-adjoint subspaces. Zbl 1306.47051
Shi, Yuming; Shao, Chunmei; Liu, Yan
2014
Chaotification of discrete dynamical systems governed by continuous maps. Zbl 1082.37031
Shi, Yuming; Chen, Guanrong
2005
Spectral properties of singular discrete linear Hamiltonian systems. Zbl 1319.39011
Sun, Huaqing; Shi, Yuming
2014
A finite element time domain modal formulation for large amplitude free vibrations of beams and plates. Zbl 1232.74115
Shi, Y.; Mei, C.
1996
Limit-point and limit-circle criteria for singular second-order linear difference equations with complex coefficients. Zbl 1137.39013
Sun, Huaqing; Shi, Yuming
2006
Chaos in first-order partial difference equations. Zbl 1144.39002
Shi, Yuming
2008
Discrete chaos induced by heteroclinic cycles connecting repellers in Banach spaces. Zbl 1188.37036
Li, Zongcheng; Shi, Yuming; Liang, Wei
2010
On essential spectra of singular linear Hamiltonian systems. Zbl 1329.47044
Sun, Huaqing; Shi, Yuming
2015
Boundedness and closedness of linear relations. Zbl 06868829
Shi, Yuming; Xu, Guixin; Ren, Guojing
2018
Estimations of topological entropy for non-autonomous discrete systems. Zbl 1359.37033
Shao, Hua; Shi, Yuming; Zhu, Hao
2016
The Glazman–Krein–Naimark theory for a class of discrete Hamiltonian systems. Zbl 1112.39009
Sun, Shurong; Shi, Yuming; Chen, Shaozhu
2007
On distributional chaos in non-autonomous discrete systems. Zbl 1380.37038
Shao, Hua; Shi, Yuming; Zhu, Hao
2018
Simulation of three-component fluid flows using the multiphase lattice Boltzmann flux solver. Zbl 1349.76733
Shi, Y.; Tang, G. H.; Wang, Y.
2016
Chaotification for a class of first-order partial difference equations. Zbl 1147.37325
Liang, Wei; Shi, Yuming; Zhang, Chao
2008
Some properties of coupled-expanding maps in compact sets. Zbl 1353.37021
Zhang, Xu; Shi, Yuming; Chen, Guanrong
2013
Stability of essential spectra of self-adjoint subspaces under compact perturbations. Zbl 1325.47007
Shi, Yuming
2016
Dissipative sampled-data controller design for singular networked cascade control systems. Zbl 1347.93168
Santra, Srimanta; Sakthivel, R.; Shi, Y.; Mathiyalagan, K.
2016
Homoclinic orbits of a class of second-order difference equations. Zbl 1262.39002
Zhang, Xu; Shi, Yuming
2012
Dense distribution of chaotic maps in continuous map spaces. Zbl 1245.37003
Shi, Yuming; Xing, Qiuju
2011
Remarks on universal quantum computer. Zbl 1058.81009
Shi, Yu.
2002
Chaos induced by heteroclinic cycles connecting repellers in complete metric spaces. Zbl 1142.37014
Li, Zongcheng; Shi, Yuming; Zhang, Chao
2008
A Foias-Saut type of expansion for dissipative wave equations. Zbl 0963.35123
Shi, Y.
2000
Reliable dissipative control of high-speed train with probabilistic time-varying delays. Zbl 1346.93390
Kaviarasan, B.; Sakthivel, R.; Shi, Y.
2016
Essential spectrum of singular discrete linear Hamiltonian systems. Zbl 1353.39008
Sun, Huaqing; Kong, Qingkai; Shi, Yuming
2016
Studies on optimum-path ratios in multicriteria De Novo programming problems. Zbl 0819.90087
Shi, Y.
1995
Coupled-expanding maps under small perturbations. Zbl 1207.37024
Zhang, Xu; Shi, Yuming; Chen, Guanrong
2011
Asymptotic behavior of solutions of perturbed linear difference systems. Zbl 1067.39015
Ren, Guojing; Shi, Yuming; Wang, Yi
2005
Robust sampled-data PI controller design for networked control systems. Zbl 1395.93199
Santra, Srimanta; Sakthivel, R.; Marshal Anthoni, S.; Shi, Y.; Mathiyalagan, K.
2016
An improved phase-field-based lattice Boltzmann model for droplet dynamics with soluble surfactant. Zbl 1411.76145
Shi, Y.; Tang, G. H.; Cheng, L. H.; Shuang, H. Q.
2019
Classification and criteria of the limit cases for singular second-order linear equations on time scales. Zbl 1284.34132
Zhang, Chao; Shi, Yuming
2012
Regular approximations of spectra of singular second-order symmetric linear difference equations. Zbl 1286.39004
Liu, Yan; Shi, Yuming
2014
Perturbations of spectra of closed subspaces in Banach spaces. Zbl 06770632
Xu, Guixin; Shi, Yuming
2017
Symplectic structure of discrete Hamiltonian systems. Zbl 1005.37022
Shi, Yuming
2002
On chaos of the logistic maps. Zbl 1130.37019
Shi, Yuming; Yu, Pei
2007
Chaos induced by weak $$A$$-coupled-expansion of non-autonomous discrete dynamical systems. Zbl 1375.37053
Zhang, Lijuan; Shi, Yuming; Shao, Hua; Huang, Qiuling
2016
Goal setting and compromise solutions. Zbl 0714.90055
Shi, Y.; Yu, P. L.
1989
Chaos in periodic discrete systems. Zbl 1309.37042
Shi, Yuming; Zhang, Lijuan; Yu, Panpan; Huang, Qiuling
2015
Chaotic dynamical behaviors of a one-dimensional wave equation. Zbl 1195.35201
Zhang, Lijuan; Shi, Yuming; Zhang, Xu
2010
Error estimate of eigenvalues of perturbed second-order discrete Sturm-Liouville problems. Zbl 1172.39022
Lv, Haiyan; Shi, Yuming
2009
Essential spectra of self-adjoint relations under relatively compact perturbations. Zbl 06959405
Xu, Guixin; Shi, Yuming
2018
Eigenvalues of second-order symmetric equations on time scales with periodic and antiperiodic boundary conditions. Zbl 1165.39020
Zhang, Chao; Shi, Yuming
2008
Dependence of eigenvalues of certain closely discrete Sturm-Liouville problems. Zbl 1339.39009
Zhu, Hao; Sun, Shurong; Shi, Yuming; Wu, Hongyou
2016
Chaotification of nonautonomous discrete dynamical systems. Zbl 1258.37028
Huang, Qiuling; Shi, Yuming; Zhang, Lijuan
2011
Multiple positive solutions of singular boundary value problems. Zbl 0943.34017
Shi, Yuming; Chen, Shaozhu
1999
$$\mathcal{J}$$-self-adjoint extensions of a class of Hamiltonian differential systems. Zbl 1417.34205
Sun, Huaqing; Shi, Yuming; Jian, Wenwen
2014
Time-varying perturbations of chaotic discrete systems. Zbl 1270.37020
Zhang, Lijuan; Shi, Yuming
2012
Lattice Boltzmann simulation of droplet formation in T-junction and flow focusing devices. Zbl 1391.76140
Shi, Y.; Tang, G. H.; Xia, H. H.
2014
Lyapunov exponents, sensitivity, and stability for non-autonomous discrete systems. Zbl 1392.37025
Shao, Hua; Shi, Yuming; Zhu, Hao
2018
Continuous dependence of the $$n$$-th eigenvalue of self-adjoint discrete Sturm-Liouville problems on the problem. Zbl 1383.39011
Zhu, Hao; Shi, Yuming
2016
Regular approximations of isolated eigenvalues of singular second-order symmetric linear difference equations. Zbl 1419.39007
Liu, Yan; Shi, Yuming
2016
Conditions for maps to be topologically conjugate or semi-conjugate to subshifts of finite type and criteria of chaos. Zbl 1367.37021
Ju, Hyonhui; Shao, Hua; Choe, Yunmi; Shi, Yuming
2016
A transportation model with multiple criteria and multiple constraint levels. Zbl 0821.90083
Shi, Y.
1995
Structure stability of maps with snap-back repellers in Banach spaces. Zbl 1255.37014
Zhang, Lijuan; Shi, Yuming; Zhang, Xu; Liang, Wei
2012
Chaotification of a class of discrete systems based on heteroclinic cycles connecting repellers in Banach spaces. Zbl 1198.37049
Li, Zongcheng; Shi, Yuming
2009
Error estimate of eigenvalues of discrete linear Hamiltonian systems with small perturbation. Zbl 1225.39013
Lv, Haiyan; Shi, Yuming
2011
Feedback anti-control of chaos. Zbl 1190.37036
Shi, Yuming; Chen, Guanrong
2010
Dependence of eigenvalues on the boundary conditions of Sturm-Liouville problems with one singular endpoint. Zbl 1406.34058
Zhu, Hao; Shi, Yuming
2017
Topological conjugacy between induced non-autonomous set-valued systems and subshifts of finite type. Zbl 1437.37021
Shao, Hua; Chen, Guanrong; Shi, Yuming
2020
Some weak versions of distributional chaos in non-autonomous discrete systems. Zbl 1467.37022
Shao, Hua; Shi, Yuming
2019
Simulation of Newtonian and non-Newtonian rheology behavior of viscous fingering in channels by the lattice Boltzmann method. Zbl 1367.76045
Shi, Y.; Tang, G. H.
2014
Quantum disentanglement in long-range orders and spontaneous symmetry breaking. Zbl 1009.81078
Shi, Yu.
2003
Periodic travelling wave solutions of nonlinear wave equations. Zbl 0932.35145
Shi, Yuming; Li, Ta-tsien; Qin, Tiehu
1999
Exponential stability of classical solutions to a class of semilinear wave equations with boundary dissipation. Zbl 0920.35089
Shi, Yuming
1999
Transformations for complex discrete linear Hamiltonian and symplectic systems. Zbl 1122.39012
Wang, Yi; Shi, Yuming; Ren, Guojing
2007
Topological conjugacy between induced non-autonomous set-valued systems and subshifts of finite type. Zbl 1437.37021
Shao, Hua; Chen, Guanrong; Shi, Yuming
2020
An improved phase-field-based lattice Boltzmann model for droplet dynamics with soluble surfactant. Zbl 1411.76145
Shi, Y.; Tang, G. H.; Cheng, L. H.; Shuang, H. Q.
2019
Some weak versions of distributional chaos in non-autonomous discrete systems. Zbl 1467.37022
Shao, Hua; Shi, Yuming
2019
Boundedness and closedness of linear relations. Zbl 06868829
Shi, Yuming; Xu, Guixin; Ren, Guojing
2018
On distributional chaos in non-autonomous discrete systems. Zbl 1380.37038
Shao, Hua; Shi, Yuming; Zhu, Hao
2018
Essential spectra of self-adjoint relations under relatively compact perturbations. Zbl 06959405
Xu, Guixin; Shi, Yuming
2018
Lyapunov exponents, sensitivity, and stability for non-autonomous discrete systems. Zbl 1392.37025
Shao, Hua; Shi, Yuming; Zhu, Hao
2018
Regular approximations of spectra of singular discrete linear Hamiltonian systems with one singular endpoint. Zbl 1380.39010
Liu, Yan; Shi, Yuming
2018
Investigation of coalesced droplet vertical jumping and horizontal moving on textured surface using the lattice Boltzmann method. Zbl 1409.76118
Shi, Y.; Tang, G. H.
2018
Perturbations of spectra of closed subspaces in Banach spaces. Zbl 06770632
Xu, Guixin; Shi, Yuming
2017
Dependence of eigenvalues on the boundary conditions of Sturm-Liouville problems with one singular endpoint. Zbl 1406.34058
Zhu, Hao; Shi, Yuming
2017
Approximation of eigenvalues below the essential spectra of singular second-order symmetric linear difference equations. Zbl 06842374
Liu, Yan; Shi, Yu Ming
2017
Devaney chaos in nonautonomous discrete systems. Zbl 1349.37044
Zhu, Hao; Shi, Yuming; Shao, Hua
2016
Estimations of topological entropy for non-autonomous discrete systems. Zbl 1359.37033
Shao, Hua; Shi, Yuming; Zhu, Hao
2016
Simulation of three-component fluid flows using the multiphase lattice Boltzmann flux solver. Zbl 1349.76733
Shi, Y.; Tang, G. H.; Wang, Y.
2016
Stability of essential spectra of self-adjoint subspaces under compact perturbations. Zbl 1325.47007
Shi, Yuming
2016
Dissipative sampled-data controller design for singular networked cascade control systems. Zbl 1347.93168
Santra, Srimanta; Sakthivel, R.; Shi, Y.; Mathiyalagan, K.
2016
Reliable dissipative control of high-speed train with probabilistic time-varying delays. Zbl 1346.93390
Kaviarasan, B.; Sakthivel, R.; Shi, Y.
2016
Essential spectrum of singular discrete linear Hamiltonian systems. Zbl 1353.39008
Sun, Huaqing; Kong, Qingkai; Shi, Yuming
2016
Robust sampled-data PI controller design for networked control systems. Zbl 1395.93199
Santra, Srimanta; Sakthivel, R.; Marshal Anthoni, S.; Shi, Y.; Mathiyalagan, K.
2016
Chaos induced by weak $$A$$-coupled-expansion of non-autonomous discrete dynamical systems. Zbl 1375.37053
Zhang, Lijuan; Shi, Yuming; Shao, Hua; Huang, Qiuling
2016
Dependence of eigenvalues of certain closely discrete Sturm-Liouville problems. Zbl 1339.39009
Zhu, Hao; Sun, Shurong; Shi, Yuming; Wu, Hongyou
2016
Continuous dependence of the $$n$$-th eigenvalue of self-adjoint discrete Sturm-Liouville problems on the problem. Zbl 1383.39011
Zhu, Hao; Shi, Yuming
2016
Regular approximations of isolated eigenvalues of singular second-order symmetric linear difference equations. Zbl 1419.39007
Liu, Yan; Shi, Yuming
2016
Conditions for maps to be topologically conjugate or semi-conjugate to subshifts of finite type and criteria of chaos. Zbl 1367.37021
Ju, Hyonhui; Shao, Hua; Choe, Yunmi; Shi, Yuming
2016
Sensitivity of non-autonomous discrete dynamical systems. Zbl 1370.37031
Huang, Qiuling; Shi, Yuming; Zhang, Lijuan
2015
Strong Li-Yorke chaos for time-varying discrete dynamical systems with a-coupled-expansion. Zbl 1330.37036
Shao, Hua; Shi, Yuming; Zhu, Hao
2015
On essential spectra of singular linear Hamiltonian systems. Zbl 1329.47044
Sun, Huaqing; Shi, Yuming
2015
Chaos in periodic discrete systems. Zbl 1309.37042
Shi, Yuming; Zhang, Lijuan; Yu, Panpan; Huang, Qiuling
2015
Stronger forms of sensitivity for measure-preserving maps and semiflows on probability spaces. Zbl 1474.37002
Li, Risong; Shi, Yuming
2014
Self-adjoint extensions for discrete linear Hamiltonian systems. Zbl 1291.39018
Ren, Guojing; Shi, Yuming
2014
Resolvent convergence and spectral approximations of sequences of self-adjoint subspaces. Zbl 1306.47051
Shi, Yuming; Shao, Chunmei; Liu, Yan
2014
Spectral properties of singular discrete linear Hamiltonian systems. Zbl 1319.39011
Sun, Huaqing; Shi, Yuming
2014
Regular approximations of spectra of singular second-order symmetric linear difference equations. Zbl 1286.39004
Liu, Yan; Shi, Yuming
2014
$$\mathcal{J}$$-self-adjoint extensions of a class of Hamiltonian differential systems. Zbl 1417.34205
Sun, Huaqing; Shi, Yuming; Jian, Wenwen
2014
Lattice Boltzmann simulation of droplet formation in T-junction and flow focusing devices. Zbl 1391.76140
Shi, Y.; Tang, G. H.; Xia, H. H.
2014
Simulation of Newtonian and non-Newtonian rheology behavior of viscous fingering in channels by the lattice Boltzmann method. Zbl 1367.76045
Shi, Y.; Tang, G. H.
2014
Spectral properties of self-adjoint subspaces. Zbl 1268.47003
Shi, Yuming; Shao, Chunmei; Ren, Guojing
2013
Some properties of coupled-expanding maps in compact sets. Zbl 1353.37021
Zhang, Xu; Shi, Yuming; Chen, Guanrong
2013
The Glazman-Krein-Naimark theory for Hermitian subspaces. Zbl 1260.47007
Shi, Yuming
2012
Chaos in nonautonomous discrete dynamical systems approached by their induced systems. Zbl 1258.37023
Shi, Yuming
2012
Homoclinic orbits of a class of second-order difference equations. Zbl 1262.39002
Zhang, Xu; Shi, Yuming
2012
Classification and criteria of the limit cases for singular second-order linear equations on time scales. Zbl 1284.34132
Zhang, Chao; Shi, Yuming
2012
Time-varying perturbations of chaotic discrete systems. Zbl 1270.37020
Zhang, Lijuan; Shi, Yuming
2012
Structure stability of maps with snap-back repellers in Banach spaces. Zbl 1255.37014
Zhang, Lijuan; Shi, Yuming; Zhang, Xu; Liang, Wei
2012
Self-adjoint extensions for second-order symmetric linear difference equations. Zbl 1210.39004
Shi, Yuming; Sun, Huaqing
2011
Defect indices and definiteness conditions for a class of discrete linear Hamiltonian systems. Zbl 1256.39004
Ren, Guojing; Shi, Yuming
2011
Self-adjoint extensions for singular linear Hamiltonian systems. Zbl 1228.47026
Sun, Huaqing; Shi, Yuming
2011
Dense distribution of chaotic maps in continuous map spaces. Zbl 1245.37003
Shi, Yuming; Xing, Qiuju
2011
Coupled-expanding maps under small perturbations. Zbl 1207.37024
Zhang, Xu; Shi, Yuming; Chen, Guanrong
2011
Chaotification of nonautonomous discrete dynamical systems. Zbl 1258.37028
Huang, Qiuling; Shi, Yuming; Zhang, Lijuan
2011
Error estimate of eigenvalues of discrete linear Hamiltonian systems with small perturbation. Zbl 1225.39013
Lv, Haiyan; Shi, Yuming
2011
The defect index of singular symmetric linear difference equations with real coefficients. Zbl 1196.39003
Ren, Guojing; Shi, Yuming
2010
Coupled-expanding maps for irreducible transition matrices. Zbl 1208.37012
Zhang, Xu; Shi, Yuming
2010
Self-adjoint extensions for linear Hamiltonian systems with two singular endpoints. Zbl 1202.47012
Sun, Huaqing; Shi, Yuming
2010
Several sufficient conditions for sensitive dependence on initial conditions. Zbl 1180.37005
Li, Risong; Shi, Yuming
2010
Discrete chaos induced by heteroclinic cycles connecting repellers in Banach spaces. Zbl 1188.37036
Li, Zongcheng; Shi, Yuming; Liang, Wei
2010
Chaotic dynamical behaviors of a one-dimensional wave equation. Zbl 1195.35201
Zhang, Lijuan; Shi, Yuming; Zhang, Xu
2010
Feedback anti-control of chaos. Zbl 1190.37036
Shi, Yuming; Chen, Guanrong
2010
Chaos of time-varying discrete dynamical systems. Zbl 1173.37032
Shi, Yuming; Chen, Guanrong
2009
Coupled-expanding maps and one-sided symbolic dynamical systems. Zbl 1197.37010
Shi, Yuming; Ju, Hyonhui; Chen, Guanrong
2009
Constructing chaotic polynomial maps. Zbl 1170.37318
Zhang, Xu; Shi, Yuming; Chen, Guanrong
2009
Error estimate of eigenvalues of perturbed second-order discrete Sturm-Liouville problems. Zbl 1172.39022
Lv, Haiyan; Shi, Yuming
2009
Chaotification of a class of discrete systems based on heteroclinic cycles connecting repellers in Banach spaces. Zbl 1198.37049
Li, Zongcheng; Shi, Yuming
2009
Chaos induced by regular snap-back repellers. Zbl 1131.37023
Shi, Yuming; Yu, Pei
2008
Chaos in first-order partial difference equations. Zbl 1144.39002
Shi, Yuming
2008
Chaotification for a class of first-order partial difference equations. Zbl 1147.37325
Liang, Wei; Shi, Yuming; Zhang, Chao
2008
Chaos induced by heteroclinic cycles connecting repellers in complete metric spaces. Zbl 1142.37014
Li, Zongcheng; Shi, Yuming; Zhang, Chao
2008
Eigenvalues of second-order symmetric equations on time scales with periodic and antiperiodic boundary conditions. Zbl 1165.39020
Zhang, Chao; Shi, Yuming
2008
Strong limit point criteria for a class of singular discrete linear Hamiltonian systems. Zbl 1132.39014
Sun, Huaqing; Shi, Yuming
2007
The Glazman–Krein–Naimark theory for a class of discrete Hamiltonian systems. Zbl 1112.39009
Sun, Shurong; Shi, Yuming; Chen, Shaozhu
2007
On chaos of the logistic maps. Zbl 1130.37019
Shi, Yuming; Yu, Pei
2007
Transformations for complex discrete linear Hamiltonian and symplectic systems. Zbl 1122.39012
Wang, Yi; Shi, Yuming; Ren, Guojing
2007
Weyl–Titchmarsh theory for a class of discrete linear Hamiltonian systems. Zbl 1100.39020
Shi, Yuming
2006
Chaotification of discrete dynamical systems in Banach spaces. Zbl 1185.37084
Shi, Yuming; Yu, Pei; Chen, Guanrong
2006
Eigenvalues of second-order difference equations with coupled boundary conditions. Zbl 1092.39011
Sun, Huaqing; Shi, Yuming
2006
Study on chaos induced by turbulent maps in noncompact sets. Zbl 1106.37008
Shi, Yuming; Yu, Pei
2006
Introduction to anti-control of discrete chaos: Theory and applications. Zbl 1152.93394
Chen, Guanrong; Shi, Yuming
2006
Limit-point and limit-circle criteria for singular second-order linear difference equations with complex coefficients. Zbl 1137.39013
Sun, Huaqing; Shi, Yuming
2006
Eigenvalues of second-order difference equations with periodic and antiperiodic boundary conditions. Zbl 1083.39019
Wang, Yi; Shi, Yuming
2005
Stability and chaos in 2-D discrete systems. Zbl 1071.37018
Chen, Guanrong; Tian, Chuanjun; Shi, Yuming
2005
Discrete chaos in Banach spaces. Zbl 1170.37306
Shi, Yuming; Chen, Guanrong
2005
Chaotification of discrete dynamical systems governed by continuous maps. Zbl 1082.37031
Shi, Yuming; Chen, Guanrong
2005
Asymptotic behavior of solutions of perturbed linear difference systems. Zbl 1067.39015
Ren, Guojing; Shi, Yuming; Wang, Yi
2005
Chaos of discrete dynamical systems in complete metric spaces. Zbl 1067.37047
Shi, Yuming; Chen, Guanrong
2004
On the rank of the matrix radius of the limiting set for a singular linear Hamiltonian system. Zbl 1047.37041
Shi, Yuming
2004
Spectral theory of discrete linear Hamiltonian systems. Zbl 1047.39016
Shi, Yuming
2004
The limit circle and limit point criteria for second-order linear difference equations. Zbl 1073.39011
Chen, Jingnian; Shi, Yuming
2004
Quantum disentanglement in long-range orders and spontaneous symmetry breaking. Zbl 1009.81078
Shi, Yu.
2003
Remarks on universal quantum computer. Zbl 1058.81009
Shi, Yu.
2002
Symplectic structure of discrete Hamiltonian systems. Zbl 1005.37022
Shi, Yuming
2002
Spectral theory of higher-order discrete vector Sturm-Liouville problems. Zbl 0977.39010
Shi, Yuming; Chen, Shaozhu
2001
A Foias-Saut type of expansion for dissipative wave equations. Zbl 0963.35123
Shi, Y.
2000
Spectral theory of second-order vector difference equations. Zbl 0934.39002
Shi, Yuming; Chen, Shaozhu
1999
Multiple positive solutions of singular boundary value problems. Zbl 0943.34017
Shi, Yuming; Chen, Shaozhu
1999
Periodic travelling wave solutions of nonlinear wave equations. Zbl 0932.35145
Shi, Yuming; Li, Ta-tsien; Qin, Tiehu
1999
Exponential stability of classical solutions to a class of semilinear wave equations with boundary dissipation. Zbl 0920.35089
Shi, Yuming
1999
On singular singularly-perturbed vector boundary value problems. Zbl 0890.34047
Shi, Yuming
1997
A finite element time domain modal formulation for large amplitude free vibrations of beams and plates. Zbl 1232.74115
Shi, Y.; Mei, C.
1996
Studies on optimum-path ratios in multicriteria De Novo programming problems. Zbl 0819.90087
Shi, Y.
1995
...and 6 more Documents
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### Cited by 400 Authors

 81 Shi, Yuming 21 Sun, Huaqing 19 Chen, Guanrong 17 Ren, Guojing 15 Zemánek, Petr 14 Zhu, Hao 13 Shao, Hua 12 Li, Zongcheng 11 Li, Risong 10 Gao, Chenghua 9 Liang, Wei 9 Ma, Ruyun 9 Tian, Chuanjun 9 Ugurlu, Ekin 9 Zhang, Chao 8 Allahverdiev, Bilender Paşaoğlu 8 Li, Wan-Tong 8 Šimon Hilscher, Roman 8 Sun, Shurong 8 Zhang, Lijuan 8 Zhang, Xu 7 Liu, Yan 7 Lu, Tianxiu 7 Sun, Jianping 6 Belozyorov, Vasiliy Ye. 6 Das, Ruchi 6 Nyamwala, Fredrick Oluoch 5 Huang, Qiuling 5 Ju, Hyonhui 5 O’Regan, Donal 5 Salman, Mohammad 4 Akhmet, Marat Ubaydulla 4 Behncke, Horst 4 Chen, Huiwen 4 Clark, Stephen L. 4 He, Zhimin 4 Ji, Jun 4 Li, Liangliang 4 Lv, Haiyan 4 Oprocha, Piotr 4 Qi, Jiangang 4 Saadati, Reza 4 Wu, Xinxing 4 Xu, Guixin 4 Yang, Bo 4 Zhang, Guang 4 Zhang, Qiming 3 Agarwal, Ravi P. 3 Bohner, Martin J. 3 Chen, Shaozhu 3 Chen, Yuanlong 3 Fen, Mehmet Onur 3 Feng, Wenying 3 Guo, Haihong 3 Li, Zhong 3 Liang, Haihua 3 Liu, Shutang 3 Ma, Huili 3 Randriamihamison, Louis-Samuel 3 Taha, Abdel-Kaddous 3 Tang, Xianhua 3 Wang, Hongqing 3 Wu, Xiaoying 3 Yang, Xiaofang 3 Yu, Pei 3 Zhao, Qingli 3 Zhao, Yu 3 Zheng, Zhaowen 2 Ahmad, Bashir 2 Ambogo, David Otieno 2 Ao, Jijun 2 Bahabadi, Alireza Zamani 2 Băleanu, Dumitru I. 2 Balibrea, Francisco 2 Chen, Alatancang 2 Chen, Minghao 2 Choe, Yunmi 2 Currie, Sonja 2 Danca, Marius-Florin 2 Deng, Yue 2 Došlý, Ondřej 2 Effati, Mona 2 Embong, Ahmad Fadillah 2 Erbe, Lynn Harry 2 Ghane, Fatemeh Helen 2 Halang, Wolfgang A. 2 Hao, Xiaoling 2 Honary, Bahman 2 Huang, Yu 2 Jahed-Motlagh, Mohammad Reza 2 Jiang, Ru 2 Jiang, Yongxi 2 Jin, Guohai 2 Khakimov, Otabek N. 2 Kim, Cholsan 2 Kong, Qingkai 2 Kratz, Werner 2 Li, Kun 2 Li, Yuxia 2 Liang, Di ...and 300 more Authors
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### Cited in 100 Serials

 54 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 33 Journal of Difference Equations and Applications 28 Journal of Mathematical Analysis and Applications 28 Chaos, Solitons and Fractals 25 Linear Algebra and its Applications 24 Advances in Difference Equations 20 Applied Mathematics and Computation 11 Discrete Dynamics in Nature and Society 10 Computers & Mathematics with Applications 10 Abstract and Applied Analysis 7 Journal of Computational and Applied Mathematics 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Qualitative Theory of Dynamical Systems 6 Journal of Applied Mathematics and Computing 6 Journal of Nonlinear Science and Applications 5 Journal of Differential Equations 5 Communications in Nonlinear Science and Numerical Simulation 4 Linear and Multilinear Algebra 4 Mathematische Nachrichten 4 Quaestiones Mathematicae 4 Applied Mathematics Letters 4 Chaos 4 Dynamical Systems 4 Complex Analysis and Operator Theory 3 Applicable Analysis 3 Proceedings of the American Mathematical Society 3 Mathematical Problems in Engineering 3 Nonlinear Dynamics 3 Taiwanese Journal of Mathematics 3 Acta Mathematica Sinica. English Series 2 Bulletin of the Australian Mathematical Society 2 Journal of the Franklin Institute 2 Mathematical Methods in the Applied Sciences 2 Journal of Functional Analysis 2 Numerical Functional Analysis and Optimization 2 Transactions of the American Mathematical Society 2 Topology and its Applications 2 Mathematical and Computer Modelling 2 Turkish Journal of Mathematics 2 Discrete and Continuous Dynamical Systems 2 Journal of Dynamical and Control Systems 2 Journal of Dynamical Systems and Geometric Theories 2 Asian-European Journal of Mathematics 2 Science China. Mathematics 2 Annals of Functional Analysis 2 Journal of Applied Analysis and Computation 1 Computer Physics Communications 1 Journal of Mathematical Physics 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Dissertationes Mathematicae 1 Integral Equations and Operator Theory 1 Journal of Approximation Theory 1 Journal of the Korean Mathematical Society 1 Kyungpook Mathematical Journal 1 Mathematica Slovaca 1 Results in Mathematics 1 Ergodic Theory and Dynamical Systems 1 Bulletin of the Korean Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Physica D 1 Discrete & Computational Geometry 1 COMPEL 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Review 1 Journal of Dynamics and Differential Equations 1 Indagationes Mathematicae. New Series 1 Tatra Mountains Mathematical Publications 1 Electronic Journal of Differential Equations (EJDE) 1 Filomat 1 Advances in Computational Mathematics 1 Complexity 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Differential Equations and Dynamical Systems 1 Positivity 1 Mathematical Inequalities & Applications 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Mediterranean Journal of Mathematics 1 Boundary Value Problems 1 Nonlinear Oscillations 1 Operators and Matrices 1 Nonlinear Analysis. Hybrid Systems 1 International Journal of Biomathematics 1 Journal of Pseudo-Differential Operators and Applications 1 ISRN Mathematical Analysis 1 Journal of Computational Dynamics 1 Journal of Discrete Mathematics 1 Nonautonomous Dynamical Systems 1 Journal of Function Spaces 1 Nonlinear Analysis. Theory, Methods & Applications 1 Khayyam Journal of Mathematics 1 Applied Mathematics and Nonlinear Sciences 1 AIMS Mathematics
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### Cited in 31 Fields

 204 Dynamical systems and ergodic theory (37-XX) 161 Difference and functional equations (39-XX) 145 Ordinary differential equations (34-XX) 85 Operator theory (47-XX) 32 General topology (54-XX) 16 Systems theory; control (93-XX) 11 Partial differential equations (35-XX) 9 Biology and other natural sciences (92-XX) 7 Numerical analysis (65-XX) 6 Mechanics of particles and systems (70-XX) 4 Measure and integration (28-XX) 4 Functional analysis (46-XX) 4 Probability theory and stochastic processes (60-XX) 4 Information and communication theory, circuits (94-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 3 Integral equations (45-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistics (62-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX)