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Author ID: shi.yuming Recent zbMATH articles by "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
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

Publications by Year

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
78
2004
Weyl–Titchmarsh theory for a class of discrete linear Hamiltonian systems. Zbl 1100.39020
Shi, Yuming
62
2006
Spectral theory of second-order vector difference equations. Zbl 0934.39002
Shi, Yuming; Chen, Shaozhu
49
1999
Eigenvalues of second-order difference equations with periodic and antiperiodic boundary conditions. Zbl 1083.39019
Wang, Yi; Shi, Yuming
46
2005
Self-adjoint extensions for second-order symmetric linear difference equations. Zbl 1210.39004
Shi, Yuming; Sun, Huaqing
36
2011
Defect indices and definiteness conditions for a class of discrete linear Hamiltonian systems. Zbl 1256.39004
Ren, Guojing; Shi, Yuming
34
2011
Chaos induced by regular snap-back repellers. Zbl 1131.37023
Shi, Yuming; Yu, Pei
33
2008
Chaos of time-varying discrete dynamical systems. Zbl 1173.37032
Shi, Yuming; Chen, Guanrong
33
2009
Chaotification of discrete dynamical systems in Banach spaces. Zbl 1185.37084
Shi, Yuming; Yu, Pei; Chen, Guanrong
32
2006
Stability and chaos in 2-D discrete systems. Zbl 1071.37018
Chen, Guanrong; Tian, Chuanjun; Shi, Yuming
29
2005
On the rank of the matrix radius of the limiting set for a singular linear Hamiltonian system. Zbl 1047.37041
Shi, Yuming
29
2004
Discrete chaos in Banach spaces. Zbl 1170.37306
Shi, Yuming; Chen, Guanrong
28
2005
The Glazman-Krein-Naimark theory for Hermitian subspaces. Zbl 1260.47007
Shi, Yuming
27
2012
Eigenvalues of second-order difference equations with coupled boundary conditions. Zbl 1092.39011
Sun, Huaqing; Shi, Yuming
25
2006
Coupled-expanding maps and one-sided symbolic dynamical systems. Zbl 1197.37010
Shi, Yuming; Ju, Hyonhui; Chen, Guanrong
24
2009
Study on chaos induced by turbulent maps in noncompact sets. Zbl 1106.37008
Shi, Yuming; Yu, Pei
23
2006
Spectral properties of self-adjoint subspaces. Zbl 1268.47003
Shi, Yuming; Shao, Chunmei; Ren, Guojing
21
2013
Sensitivity of non-autonomous discrete dynamical systems. Zbl 1370.37031
Huang, Qiuling; Shi, Yuming; Zhang, Lijuan
20
2015
Spectral theory of discrete linear Hamiltonian systems. Zbl 1047.39016
Shi, Yuming
19
2004
Self-adjoint extensions for singular linear Hamiltonian systems. Zbl 1228.47026
Sun, Huaqing; Shi, Yuming
18
2011
The defect index of singular symmetric linear difference equations with real coefficients. Zbl 1196.39003
Ren, Guojing; Shi, Yuming
18
2010
Strong limit point criteria for a class of singular discrete linear Hamiltonian systems. Zbl 1132.39014
Sun, Huaqing; Shi, Yuming
18
2007
Linear optimal designs and optimal contingency plans. Zbl 0707.90058
Lee, Y. R.; Shi, Y.; Yu, P. L.
16
1990
The limit circle and limit point criteria for second-order linear difference equations. Zbl 1073.39011
Chen, Jingnian; Shi, Yuming
16
2004
Introduction to anti-control of discrete chaos: Theory and applications. Zbl 1152.93394
Chen, Guanrong; Shi, Yuming
15
2006
Devaney chaos in nonautonomous discrete systems. Zbl 1349.37044
Zhu, Hao; Shi, Yuming; Shao, Hua
14
2016
Coupled-expanding maps for irreducible transition matrices. Zbl 1208.37012
Zhang, Xu; Shi, Yuming
14
2010
Self-adjoint extensions for linear Hamiltonian systems with two singular endpoints. Zbl 1202.47012
Sun, Huaqing; Shi, Yuming
14
2010
Boundary element methods for convective heat transfer. Zbl 0771.76046
Shi, Y.; Banerjee, P. K.
13
1993
Stronger forms of sensitivity for measure-preserving maps and semiflows on probability spaces. Zbl 1474.37002
Li, Risong; Shi, Yuming
13
2014
Constructing chaotic polynomial maps. Zbl 1170.37318
Zhang, Xu; Shi, Yuming; Chen, Guanrong
12
2009
Chaos in nonautonomous discrete dynamical systems approached by their induced systems. Zbl 1258.37023
Shi, Yuming
12
2012
Self-adjoint extensions for discrete linear Hamiltonian systems. Zbl 1291.39018
Ren, Guojing; Shi, Yuming
12
2014
Several sufficient conditions for sensitive dependence on initial conditions. Zbl 1180.37005
Li, Risong; Shi, Yuming
12
2010
Strong Li-Yorke chaos for time-varying discrete dynamical systems with a-coupled-expansion. Zbl 1330.37036
Shao, Hua; Shi, Yuming; Zhu, Hao
12
2015
Spectral theory of higher-order discrete vector Sturm-Liouville problems. Zbl 0977.39010
Shi, Yuming; Chen, Shaozhu
11
2001
Resolvent convergence and spectral approximations of sequences of self-adjoint subspaces. Zbl 1306.47051
Shi, Yuming; Shao, Chunmei; Liu, Yan
11
2014
Chaotification of discrete dynamical systems governed by continuous maps. Zbl 1082.37031
Shi, Yuming; Chen, Guanrong
11
2005
Spectral properties of singular discrete linear Hamiltonian systems. Zbl 1319.39011
Sun, Huaqing; Shi, Yuming
10
2014
A finite element time domain modal formulation for large amplitude free vibrations of beams and plates. Zbl 1232.74115
Shi, Y.; Mei, C.
10
1996
Limit-point and limit-circle criteria for singular second-order linear difference equations with complex coefficients. Zbl 1137.39013
Sun, Huaqing; Shi, Yuming
10
2006
Chaos in first-order partial difference equations. Zbl 1144.39002
Shi, Yuming
10
2008
Discrete chaos induced by heteroclinic cycles connecting repellers in Banach spaces. Zbl 1188.37036
Li, Zongcheng; Shi, Yuming; Liang, Wei
10
2010
On essential spectra of singular linear Hamiltonian systems. Zbl 1329.47044
Sun, Huaqing; Shi, Yuming
10
2015
Boundedness and closedness of linear relations. Zbl 06868829
Shi, Yuming; Xu, Guixin; Ren, Guojing
10
2018
Estimations of topological entropy for non-autonomous discrete systems. Zbl 1359.37033
Shao, Hua; Shi, Yuming; Zhu, Hao
9
2016
The Glazman–Krein–Naimark theory for a class of discrete Hamiltonian systems. Zbl 1112.39009
Sun, Shurong; Shi, Yuming; Chen, Shaozhu
9
2007
On distributional chaos in non-autonomous discrete systems. Zbl 1380.37038
Shao, Hua; Shi, Yuming; Zhu, Hao
9
2018
Simulation of three-component fluid flows using the multiphase lattice Boltzmann flux solver. Zbl 1349.76733
Shi, Y.; Tang, G. H.; Wang, Y.
8
2016
Chaotification for a class of first-order partial difference equations. Zbl 1147.37325
Liang, Wei; Shi, Yuming; Zhang, Chao
8
2008
Some properties of coupled-expanding maps in compact sets. Zbl 1353.37021
Zhang, Xu; Shi, Yuming; Chen, Guanrong
8
2013
Stability of essential spectra of self-adjoint subspaces under compact perturbations. Zbl 1325.47007
Shi, Yuming
8
2016
Dissipative sampled-data controller design for singular networked cascade control systems. Zbl 1347.93168
Santra, Srimanta; Sakthivel, R.; Shi, Y.; Mathiyalagan, K.
7
2016
Homoclinic orbits of a class of second-order difference equations. Zbl 1262.39002
Zhang, Xu; Shi, Yuming
7
2012
Dense distribution of chaotic maps in continuous map spaces. Zbl 1245.37003
Shi, Yuming; Xing, Qiuju
7
2011
Remarks on universal quantum computer. Zbl 1058.81009
Shi, Yu.
7
2002
Chaos induced by heteroclinic cycles connecting repellers in complete metric spaces. Zbl 1142.37014
Li, Zongcheng; Shi, Yuming; Zhang, Chao
7
2008
A Foias-Saut type of expansion for dissipative wave equations. Zbl 0963.35123
Shi, Y.
7
2000
Reliable dissipative control of high-speed train with probabilistic time-varying delays. Zbl 1346.93390
Kaviarasan, B.; Sakthivel, R.; Shi, Y.
6
2016
Essential spectrum of singular discrete linear Hamiltonian systems. Zbl 1353.39008
Sun, Huaqing; Kong, Qingkai; Shi, Yuming
6
2016
Studies on optimum-path ratios in multicriteria De Novo programming problems. Zbl 0819.90087
Shi, Y.
6
1995
Coupled-expanding maps under small perturbations. Zbl 1207.37024
Zhang, Xu; Shi, Yuming; Chen, Guanrong
6
2011
Asymptotic behavior of solutions of perturbed linear difference systems. Zbl 1067.39015
Ren, Guojing; Shi, Yuming; Wang, Yi
6
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.
6
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.
6
2019
Classification and criteria of the limit cases for singular second-order linear equations on time scales. Zbl 1284.34132
Zhang, Chao; Shi, Yuming
5
2012
Regular approximations of spectra of singular second-order symmetric linear difference equations. Zbl 1286.39004
Liu, Yan; Shi, Yuming
5
2014
Perturbations of spectra of closed subspaces in Banach spaces. Zbl 06770632
Xu, Guixin; Shi, Yuming
5
2017
Symplectic structure of discrete Hamiltonian systems. Zbl 1005.37022
Shi, Yuming
5
2002
On chaos of the logistic maps. Zbl 1130.37019
Shi, Yuming; Yu, Pei
5
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
5
2016
Goal setting and compromise solutions. Zbl 0714.90055
Shi, Y.; Yu, P. L.
4
1989
Chaos in periodic discrete systems. Zbl 1309.37042
Shi, Yuming; Zhang, Lijuan; Yu, Panpan; Huang, Qiuling
4
2015
Chaotic dynamical behaviors of a one-dimensional wave equation. Zbl 1195.35201
Zhang, Lijuan; Shi, Yuming; Zhang, Xu
4
2010
Error estimate of eigenvalues of perturbed second-order discrete Sturm-Liouville problems. Zbl 1172.39022
Lv, Haiyan; Shi, Yuming
4
2009
Essential spectra of self-adjoint relations under relatively compact perturbations. Zbl 06959405
Xu, Guixin; Shi, Yuming
4
2018
Eigenvalues of second-order symmetric equations on time scales with periodic and antiperiodic boundary conditions. Zbl 1165.39020
Zhang, Chao; Shi, Yuming
3
2008
Dependence of eigenvalues of certain closely discrete Sturm-Liouville problems. Zbl 1339.39009
Zhu, Hao; Sun, Shurong; Shi, Yuming; Wu, Hongyou
3
2016
Chaotification of nonautonomous discrete dynamical systems. Zbl 1258.37028
Huang, Qiuling; Shi, Yuming; Zhang, Lijuan
3
2011
Multiple positive solutions of singular boundary value problems. Zbl 0943.34017
Shi, Yuming; Chen, Shaozhu
3
1999
\(\mathcal{J}\)-self-adjoint extensions of a class of Hamiltonian differential systems. Zbl 1417.34205
Sun, Huaqing; Shi, Yuming; Jian, Wenwen
3
2014
Time-varying perturbations of chaotic discrete systems. Zbl 1270.37020
Zhang, Lijuan; Shi, Yuming
3
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.
3
2014
Lyapunov exponents, sensitivity, and stability for non-autonomous discrete systems. Zbl 1392.37025
Shao, Hua; Shi, Yuming; Zhu, Hao
3
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
3
2016
Regular approximations of isolated eigenvalues of singular second-order symmetric linear difference equations. Zbl 1419.39007
Liu, Yan; Shi, Yuming
3
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
2
2016
A transportation model with multiple criteria and multiple constraint levels. Zbl 0821.90083
Shi, Y.
2
1995
Structure stability of maps with snap-back repellers in Banach spaces. Zbl 1255.37014
Zhang, Lijuan; Shi, Yuming; Zhang, Xu; Liang, Wei
2
2012
Chaotification of a class of discrete systems based on heteroclinic cycles connecting repellers in Banach spaces. Zbl 1198.37049
Li, Zongcheng; Shi, Yuming
2
2009
Error estimate of eigenvalues of discrete linear Hamiltonian systems with small perturbation. Zbl 1225.39013
Lv, Haiyan; Shi, Yuming
2
2011
Feedback anti-control of chaos. Zbl 1190.37036
Shi, Yuming; Chen, Guanrong
2
2010
Dependence of eigenvalues on the boundary conditions of Sturm-Liouville problems with one singular endpoint. Zbl 1406.34058
Zhu, Hao; Shi, Yuming
2
2017
Topological conjugacy between induced non-autonomous set-valued systems and subshifts of finite type. Zbl 1437.37021
Shao, Hua; Chen, Guanrong; Shi, Yuming
2
2020
Some weak versions of distributional chaos in non-autonomous discrete systems. Zbl 1467.37022
Shao, Hua; Shi, Yuming
2
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.
1
2014
Quantum disentanglement in long-range orders and spontaneous symmetry breaking. Zbl 1009.81078
Shi, Yu.
1
2003
Periodic travelling wave solutions of nonlinear wave equations. Zbl 0932.35145
Shi, Yuming; Li, Ta-tsien; Qin, Tiehu
1
1999
Exponential stability of classical solutions to a class of semilinear wave equations with boundary dissipation. Zbl 0920.35089
Shi, Yuming
1
1999
Transformations for complex discrete linear Hamiltonian and symplectic systems. Zbl 1122.39012
Wang, Yi; Shi, Yuming; Ren, Guojing
1
2007
Topological conjugacy between induced non-autonomous set-valued systems and subshifts of finite type. Zbl 1437.37021
Shao, Hua; Chen, Guanrong; Shi, Yuming
2
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.
6
2019
Some weak versions of distributional chaos in non-autonomous discrete systems. Zbl 1467.37022
Shao, Hua; Shi, Yuming
2
2019
Boundedness and closedness of linear relations. Zbl 06868829
Shi, Yuming; Xu, Guixin; Ren, Guojing
10
2018
On distributional chaos in non-autonomous discrete systems. Zbl 1380.37038
Shao, Hua; Shi, Yuming; Zhu, Hao
9
2018
Essential spectra of self-adjoint relations under relatively compact perturbations. Zbl 06959405
Xu, Guixin; Shi, Yuming
4
2018
Lyapunov exponents, sensitivity, and stability for non-autonomous discrete systems. Zbl 1392.37025
Shao, Hua; Shi, Yuming; Zhu, Hao
3
2018
Regular approximations of spectra of singular discrete linear Hamiltonian systems with one singular endpoint. Zbl 1380.39010
Liu, Yan; Shi, Yuming
1
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.
1
2018
Perturbations of spectra of closed subspaces in Banach spaces. Zbl 06770632
Xu, Guixin; Shi, Yuming
5
2017
Dependence of eigenvalues on the boundary conditions of Sturm-Liouville problems with one singular endpoint. Zbl 1406.34058
Zhu, Hao; Shi, Yuming
2
2017
Approximation of eigenvalues below the essential spectra of singular second-order symmetric linear difference equations. Zbl 06842374
Liu, Yan; Shi, Yu Ming
1
2017
Devaney chaos in nonautonomous discrete systems. Zbl 1349.37044
Zhu, Hao; Shi, Yuming; Shao, Hua
14
2016
Estimations of topological entropy for non-autonomous discrete systems. Zbl 1359.37033
Shao, Hua; Shi, Yuming; Zhu, Hao
9
2016
Simulation of three-component fluid flows using the multiphase lattice Boltzmann flux solver. Zbl 1349.76733
Shi, Y.; Tang, G. H.; Wang, Y.
8
2016
Stability of essential spectra of self-adjoint subspaces under compact perturbations. Zbl 1325.47007
Shi, Yuming
8
2016
Dissipative sampled-data controller design for singular networked cascade control systems. Zbl 1347.93168
Santra, Srimanta; Sakthivel, R.; Shi, Y.; Mathiyalagan, K.
7
2016
Reliable dissipative control of high-speed train with probabilistic time-varying delays. Zbl 1346.93390
Kaviarasan, B.; Sakthivel, R.; Shi, Y.
6
2016
Essential spectrum of singular discrete linear Hamiltonian systems. Zbl 1353.39008
Sun, Huaqing; Kong, Qingkai; Shi, Yuming
6
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.
6
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
5
2016
Dependence of eigenvalues of certain closely discrete Sturm-Liouville problems. Zbl 1339.39009
Zhu, Hao; Sun, Shurong; Shi, Yuming; Wu, Hongyou
3
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
3
2016
Regular approximations of isolated eigenvalues of singular second-order symmetric linear difference equations. Zbl 1419.39007
Liu, Yan; Shi, Yuming
3
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
2
2016
Sensitivity of non-autonomous discrete dynamical systems. Zbl 1370.37031
Huang, Qiuling; Shi, Yuming; Zhang, Lijuan
20
2015
Strong Li-Yorke chaos for time-varying discrete dynamical systems with a-coupled-expansion. Zbl 1330.37036
Shao, Hua; Shi, Yuming; Zhu, Hao
12
2015
On essential spectra of singular linear Hamiltonian systems. Zbl 1329.47044
Sun, Huaqing; Shi, Yuming
10
2015
Chaos in periodic discrete systems. Zbl 1309.37042
Shi, Yuming; Zhang, Lijuan; Yu, Panpan; Huang, Qiuling
4
2015
Stronger forms of sensitivity for measure-preserving maps and semiflows on probability spaces. Zbl 1474.37002
Li, Risong; Shi, Yuming
13
2014
Self-adjoint extensions for discrete linear Hamiltonian systems. Zbl 1291.39018
Ren, Guojing; Shi, Yuming
12
2014
Resolvent convergence and spectral approximations of sequences of self-adjoint subspaces. Zbl 1306.47051
Shi, Yuming; Shao, Chunmei; Liu, Yan
11
2014
Spectral properties of singular discrete linear Hamiltonian systems. Zbl 1319.39011
Sun, Huaqing; Shi, Yuming
10
2014
Regular approximations of spectra of singular second-order symmetric linear difference equations. Zbl 1286.39004
Liu, Yan; Shi, Yuming
5
2014
\(\mathcal{J}\)-self-adjoint extensions of a class of Hamiltonian differential systems. Zbl 1417.34205
Sun, Huaqing; Shi, Yuming; Jian, Wenwen
3
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.
3
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.
1
2014
Spectral properties of self-adjoint subspaces. Zbl 1268.47003
Shi, Yuming; Shao, Chunmei; Ren, Guojing
21
2013
Some properties of coupled-expanding maps in compact sets. Zbl 1353.37021
Zhang, Xu; Shi, Yuming; Chen, Guanrong
8
2013
The Glazman-Krein-Naimark theory for Hermitian subspaces. Zbl 1260.47007
Shi, Yuming
27
2012
Chaos in nonautonomous discrete dynamical systems approached by their induced systems. Zbl 1258.37023
Shi, Yuming
12
2012
Homoclinic orbits of a class of second-order difference equations. Zbl 1262.39002
Zhang, Xu; Shi, Yuming
7
2012
Classification and criteria of the limit cases for singular second-order linear equations on time scales. Zbl 1284.34132
Zhang, Chao; Shi, Yuming
5
2012
Time-varying perturbations of chaotic discrete systems. Zbl 1270.37020
Zhang, Lijuan; Shi, Yuming
3
2012
Structure stability of maps with snap-back repellers in Banach spaces. Zbl 1255.37014
Zhang, Lijuan; Shi, Yuming; Zhang, Xu; Liang, Wei
2
2012
Self-adjoint extensions for second-order symmetric linear difference equations. Zbl 1210.39004
Shi, Yuming; Sun, Huaqing
36
2011
Defect indices and definiteness conditions for a class of discrete linear Hamiltonian systems. Zbl 1256.39004
Ren, Guojing; Shi, Yuming
34
2011
Self-adjoint extensions for singular linear Hamiltonian systems. Zbl 1228.47026
Sun, Huaqing; Shi, Yuming
18
2011
Dense distribution of chaotic maps in continuous map spaces. Zbl 1245.37003
Shi, Yuming; Xing, Qiuju
7
2011
Coupled-expanding maps under small perturbations. Zbl 1207.37024
Zhang, Xu; Shi, Yuming; Chen, Guanrong
6
2011
Chaotification of nonautonomous discrete dynamical systems. Zbl 1258.37028
Huang, Qiuling; Shi, Yuming; Zhang, Lijuan
3
2011
Error estimate of eigenvalues of discrete linear Hamiltonian systems with small perturbation. Zbl 1225.39013
Lv, Haiyan; Shi, Yuming
2
2011
The defect index of singular symmetric linear difference equations with real coefficients. Zbl 1196.39003
Ren, Guojing; Shi, Yuming
18
2010
Coupled-expanding maps for irreducible transition matrices. Zbl 1208.37012
Zhang, Xu; Shi, Yuming
14
2010
Self-adjoint extensions for linear Hamiltonian systems with two singular endpoints. Zbl 1202.47012
Sun, Huaqing; Shi, Yuming
14
2010
Several sufficient conditions for sensitive dependence on initial conditions. Zbl 1180.37005
Li, Risong; Shi, Yuming
12
2010
Discrete chaos induced by heteroclinic cycles connecting repellers in Banach spaces. Zbl 1188.37036
Li, Zongcheng; Shi, Yuming; Liang, Wei
10
2010
Chaotic dynamical behaviors of a one-dimensional wave equation. Zbl 1195.35201
Zhang, Lijuan; Shi, Yuming; Zhang, Xu
4
2010
Feedback anti-control of chaos. Zbl 1190.37036
Shi, Yuming; Chen, Guanrong
2
2010
Chaos of time-varying discrete dynamical systems. Zbl 1173.37032
Shi, Yuming; Chen, Guanrong
33
2009
Coupled-expanding maps and one-sided symbolic dynamical systems. Zbl 1197.37010
Shi, Yuming; Ju, Hyonhui; Chen, Guanrong
24
2009
Constructing chaotic polynomial maps. Zbl 1170.37318
Zhang, Xu; Shi, Yuming; Chen, Guanrong
12
2009
Error estimate of eigenvalues of perturbed second-order discrete Sturm-Liouville problems. Zbl 1172.39022
Lv, Haiyan; Shi, Yuming
4
2009
Chaotification of a class of discrete systems based on heteroclinic cycles connecting repellers in Banach spaces. Zbl 1198.37049
Li, Zongcheng; Shi, Yuming
2
2009
Chaos induced by regular snap-back repellers. Zbl 1131.37023
Shi, Yuming; Yu, Pei
33
2008
Chaos in first-order partial difference equations. Zbl 1144.39002
Shi, Yuming
10
2008
Chaotification for a class of first-order partial difference equations. Zbl 1147.37325
Liang, Wei; Shi, Yuming; Zhang, Chao
8
2008
Chaos induced by heteroclinic cycles connecting repellers in complete metric spaces. Zbl 1142.37014
Li, Zongcheng; Shi, Yuming; Zhang, Chao
7
2008
Eigenvalues of second-order symmetric equations on time scales with periodic and antiperiodic boundary conditions. Zbl 1165.39020
Zhang, Chao; Shi, Yuming
3
2008
Strong limit point criteria for a class of singular discrete linear Hamiltonian systems. Zbl 1132.39014
Sun, Huaqing; Shi, Yuming
18
2007
The Glazman–Krein–Naimark theory for a class of discrete Hamiltonian systems. Zbl 1112.39009
Sun, Shurong; Shi, Yuming; Chen, Shaozhu
9
2007
On chaos of the logistic maps. Zbl 1130.37019
Shi, Yuming; Yu, Pei
5
2007
Transformations for complex discrete linear Hamiltonian and symplectic systems. Zbl 1122.39012
Wang, Yi; Shi, Yuming; Ren, Guojing
1
2007
Weyl–Titchmarsh theory for a class of discrete linear Hamiltonian systems. Zbl 1100.39020
Shi, Yuming
62
2006
Chaotification of discrete dynamical systems in Banach spaces. Zbl 1185.37084
Shi, Yuming; Yu, Pei; Chen, Guanrong
32
2006
Eigenvalues of second-order difference equations with coupled boundary conditions. Zbl 1092.39011
Sun, Huaqing; Shi, Yuming
25
2006
Study on chaos induced by turbulent maps in noncompact sets. Zbl 1106.37008
Shi, Yuming; Yu, Pei
23
2006
Introduction to anti-control of discrete chaos: Theory and applications. Zbl 1152.93394
Chen, Guanrong; Shi, Yuming
15
2006
Limit-point and limit-circle criteria for singular second-order linear difference equations with complex coefficients. Zbl 1137.39013
Sun, Huaqing; Shi, Yuming
10
2006
Eigenvalues of second-order difference equations with periodic and antiperiodic boundary conditions. Zbl 1083.39019
Wang, Yi; Shi, Yuming
46
2005
Stability and chaos in 2-D discrete systems. Zbl 1071.37018
Chen, Guanrong; Tian, Chuanjun; Shi, Yuming
29
2005
Discrete chaos in Banach spaces. Zbl 1170.37306
Shi, Yuming; Chen, Guanrong
28
2005
Chaotification of discrete dynamical systems governed by continuous maps. Zbl 1082.37031
Shi, Yuming; Chen, Guanrong
11
2005
Asymptotic behavior of solutions of perturbed linear difference systems. Zbl 1067.39015
Ren, Guojing; Shi, Yuming; Wang, Yi
6
2005
Chaos of discrete dynamical systems in complete metric spaces. Zbl 1067.37047
Shi, Yuming; Chen, Guanrong
78
2004
On the rank of the matrix radius of the limiting set for a singular linear Hamiltonian system. Zbl 1047.37041
Shi, Yuming
29
2004
Spectral theory of discrete linear Hamiltonian systems. Zbl 1047.39016
Shi, Yuming
19
2004
The limit circle and limit point criteria for second-order linear difference equations. Zbl 1073.39011
Chen, Jingnian; Shi, Yuming
16
2004
Quantum disentanglement in long-range orders and spontaneous symmetry breaking. Zbl 1009.81078
Shi, Yu.
1
2003
Remarks on universal quantum computer. Zbl 1058.81009
Shi, Yu.
7
2002
Symplectic structure of discrete Hamiltonian systems. Zbl 1005.37022
Shi, Yuming
5
2002
Spectral theory of higher-order discrete vector Sturm-Liouville problems. Zbl 0977.39010
Shi, Yuming; Chen, Shaozhu
11
2001
A Foias-Saut type of expansion for dissipative wave equations. Zbl 0963.35123
Shi, Y.
7
2000
Spectral theory of second-order vector difference equations. Zbl 0934.39002
Shi, Yuming; Chen, Shaozhu
49
1999
Multiple positive solutions of singular boundary value problems. Zbl 0943.34017
Shi, Yuming; Chen, Shaozhu
3
1999
Periodic travelling wave solutions of nonlinear wave equations. Zbl 0932.35145
Shi, Yuming; Li, Ta-tsien; Qin, Tiehu
1
1999
Exponential stability of classical solutions to a class of semilinear wave equations with boundary dissipation. Zbl 0920.35089
Shi, Yuming
1
1999
On singular singularly-perturbed vector boundary value problems. Zbl 0890.34047
Shi, Yuming
1
1997
A finite element time domain modal formulation for large amplitude free vibrations of beams and plates. Zbl 1232.74115
Shi, Y.; Mei, C.
10
1996
Studies on optimum-path ratios in multicriteria De Novo programming problems. Zbl 0819.90087
Shi, Y.
6
1995
...and 6 more Documents
all top 5

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
all top 5

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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