## Chow, Shui-Nee

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 Author ID: chow.shui-nee Published as: Chow, Shui-Nee; Chow, S.-N.; Chow, Shui-nee; Chow, Shu-Nee; Chow, S. N.; Chow, S. External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 148 Publications since 1970, including 1 Book 3 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 32 Co-Authors with 86 Joint Publications 1,209 Co-Co-Authors
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### Co-Authors

 8 single-authored 22 Mallet-Paret, John Joseph 22 Zhou, Hao-Min 11 Lu, Kening 10 Hale, Jack Kenneth 8 Li, Wuchen 7 Shen, Wenxian 7 Van Vleck, Erik S. 6 Dunninger, Dennis R. 6 Lu, Jun 6 Palmer, Kenneth James 5 Huang, Wenzhang 5 Leiva, Hugo 5 Yorke, James Alan 4 Lasota, Andrzej 4 Lin, Xiaobiao 4 Liu, Weishi 4 Yi, Yingfei 3 Afraimovich, Valentin S. 3 Babin, A. 3 Deng, Bo 3 Kim, Yong-In 3 Schuur, Jerry D. 2 Bao, Gang 2 Barr, Robert O. 2 Broer, Henk W. 2 Huang, Wen 2 Lauterbach, Reiner 2 Lee, Kwang Yun 2 Li, Peijun 2 Li, Yao 2 Shen, Yunqiu 2 Vegter, Gert 2 Walther, Hans-Otto 2 Ye, Xiaojing 1 Adibi, Ali 1 Afraimovich, Valentine S. 1 Babin, Anatoli V. 1 Badieirostami, Majid 1 Bárcenas, Diómedes 1 Barouch, Eytan 1 Bates, Peter W. 1 Behrooz, Ali 1 Bernfeld, Stephen R. 1 Bhatia, Nam Parshad 1 Brunovský, Pavol 1 Cahn, John W. 1 Carlen, Eric Anders 1 Carr, Jack 1 Chan, Whei-Ching C. 1 Chen, Zhangxin 1 Chernoff, Paul R. 1 Childs, Gary 1 de Jager, Eduard M. 1 Dieci, Luca 1 Diekmann, Odo 1 Fiedler, Bernold 1 Friedman, Mark J. 1 Green, David jun. 1 Grigo, Alexander 1 Guckenheimer, John M. 1 Howard, Louis N. 1 Karlovitz, Les Andrew 1 Kaufman, Gordon M. 1 Kopell, Nancy J. 1 Kurtz, J. C. 1 Lanford, Oscar E. III 1 Li, Kaitai 1 Li, Xunjing 1 Li, Yong 1 Li, Yongfeng 1 Liu, Zhenxin 1 Marsden, Jerrold Eldon 1 McCracken, Marjorie F. 1 Miklavčič, Milan 1 Nussbaum, Roger David 1 Oster, George F. 1 Pan, Xingbin 1 Pei, Mingliang 1 Porter, Mason Alexander 1 Ruiz, O. 1 Sanders, Jan A. 1 Schecter, Stephen 1 Schmidt, Dieter S. 1 Sell, George Roger 1 Smale, Steve 1 Tineo Moya, Ambrosio 1 van Noort, Martijn 1 Wong, Pui-Kei 1 Wright, T. H. 1 Yamashita, Masahiro 1 Yin, Ke 1 Young, Todd R. 1 Zha, Hongyuan
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### Serials

 27 Journal of Differential Equations 8 Journal of Dynamics and Differential Equations 6 Journal of Mathematical Analysis and Applications 6 Transactions of the American Mathematical Society 4 Archive for Rational Mechanics and Analysis 4 Proceedings of the American Mathematical Society 4 SIAM Journal on Applied Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications 3 Applicable Analysis 3 Funkcialaj Ekvacioj. Serio Internacia 3 SIAM Journal on Mathematical Analysis 3 Journal of Nonlinear Science 3 Discrete and Continuous Dynamical Systems 2 Mathematics of Computation 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Japan Journal of Industrial and Applied Mathematics 2 Dynamic Systems and Applications 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Random & Computational Dynamics 2 Bulletin of the American Mathematical Society 1 Inverse Problems 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Automatica 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Studies in Applied Mathematics 1 Delft Progress Report 1 Physica D 1 Japan Journal of Applied Mathematics 1 Journal of Complexity 1 Computational Optimization and Applications 1 SIAM Journal on Scientific Computing 1 Communications in Analysis and Geometry 1 Applied and Computational Harmonic Analysis 1 Methods and Applications of Analysis 1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo 1 Regular and Chaotic Dynamics 1 Multiscale Modeling & Simulation 1 Communications in Mathematical Sciences 1 SIAM Journal on Control 1 Applied Mathematical Sciences 1 Grundlehren der Mathematischen Wissenschaften 1 NATO ASI Series. Series F. Computer and Systems Sciences 1 Networks and Heterogeneous Media 1 Inverse Problems and Imaging
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### Fields

 86 Ordinary differential equations (34-XX) 47 Dynamical systems and ergodic theory (37-XX) 40 Partial differential equations (35-XX) 20 Numerical analysis (65-XX) 13 Operator theory (47-XX) 12 Probability theory and stochastic processes (60-XX) 9 Global analysis, analysis on manifolds (58-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Systems theory; control (93-XX) 5 Mechanics of particles and systems (70-XX) 4 Difference and functional equations (39-XX) 4 Operations research, mathematical programming (90-XX) 3 General and overarching topics; collections (00-XX) 3 General topology (54-XX) 3 Mechanics of deformable solids (74-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Computer science (68-XX)

### Citations contained in zbMATH Open

125 Publications have been cited 3,366 times in 1,614 Documents Cited by Year
The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale. Zbl 0346.58007
Marsden, J. E.; McCracken, M.
1976
Methods of bifurcation theory. Zbl 0487.47039
Chow, Shui-Nee; Hale, Jack K.
1982
Traveling waves in lattice dynamical systems. Zbl 0911.34050
Chow, Shui-Nee; Mallet-Paret, John; Shen, Wenxian
1998
Existence and roughness of the exponential dichotomy for skew-product semiflow in Banach spaces. Zbl 0831.34067
Chow, Shui-Nee; Leiva, Hugo
1995
Invariant manifolds for flows in Banach spaces. Zbl 0691.58034
Chow, Shui-Nee; Lu, Kening
1988
Finding zeroes of maps: homotopy methods that are constructive with probability one. Zbl 0398.65029
Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A.
1978
An example of bifurcation to homoclinic orbits. Zbl 0439.34035
Chow, Shui-Nee; Hale, Jack K.; Mallet-Paret, John
1980
Integral averaging and bifurcation. Zbl 0367.34033
Chow, Shui-Nee; Mallet-Paret, John
1977
Pattern formation and spatial chaos in spatially discrete evolution equations. Zbl 0883.58020
Chow, Shui-Nee; Mallet-Paret, John; Van Vleck, Erik S.
1996
Lattice dynamical systems. Zbl 1046.37051
Chow, Shui-Nee
2003
Homoclinic bifurcation at resonant eigenvalues. Zbl 0703.34050
Chow, Shui-Nee; Deng, Bo; Fiedler, Bernold
1990
Smooth invariant foliations in infinite dimensional spaces. Zbl 0749.58043
Chow, Shui-Nee; Lin, Xiao-Biao; Lu, Kening
1991
The Fuller index and global Hopf bifurcation. Zbl 0369.34020
Chow, Shui-Nee; Mallet-Paret, John
1978
Existence of periodic solutions of autonomous functional differential equations. Zbl 0295.34055
Chow, Shui-Nee
1974
Dynamics in a discrete Nagumo equation: Spatial topological chaos. Zbl 0840.34012
Chow, Shui-Nee; Shen, Wenxian
1995
Fokker-Planck equations for a free energy functional or Markov process on a graph. Zbl 1256.35173
Chow, Shui-Nee; Huang, Wen; Li, Yao; Zhou, Haomin
2012
On the number of critical points of the period. Zbl 0594.34028
Chow, S.-N.; Sanders, J. A.
1986
Dynamics of lattice differential equations. Zbl 1005.39504
Chow, Shui-Nee; Mallet-Paret, John; Van Vleck, Erik S.
1996
Synchronization in lattices of coupled oscillators. Zbl 1194.34056
Afraimovich, V. S.; Chow, S.-N.; Hale, J. K.
1997
Applications of generic bifurcation. I. Zbl 0328.47036
Chow, Shui-Nee; Hale, Jack K.; Mallet-Paret, John
1975
Center manifolds for smooth invariant manifolds. Zbl 0953.34038
Chow, Shui-Nee; Liu, Weishi; Yi, Yingfei
2000
Generic properties of stationary state solutions of reaction-diffusion equations. Zbl 0544.34019
Brunovsky, Pavol; Chow, Shui-Nee
1984
Dynamical spectrum for time dependent linear systems in Banach spaces. Zbl 0818.34029
Chow, Shui-Nee; Leiva, Hugo
1994
Abelian integrals and bifurcation theory. Zbl 0587.34033
Carr, Jack; Chow, Shui-Nee; Hale, Jack K.
1985
Two definitions of exponential dichotomy for skew-product semiflow in Banach spaces. Zbl 0845.34064
Chow, Shui-Nee; Leiva, Hugo
1996
Center manifolds for invariant sets. Zbl 0972.34033
Chow, Shui-Nee; Liu, Weishi; Yi, Yingfei
2000
Unbounded perturbation of the exponential dichotomy for evolution equations. Zbl 0857.34062
Chow, S.-N.; Leiva, H.
1996
Global Hopf bifurcation from a multiple eigenvalue. Zbl 0407.47039
Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A.
1978
Smoothness of inertial manifolds. Zbl 0767.58026
Chow, Shui-Nee; Lu, Kening; Sell, George R.
1992
C$${}^ k$$ centre unstable manifolds. Zbl 0707.34039
Chow, Shui-Nee; Lu, Ke ning
1988
Spatially discrete nonlinear diffusion equations. Zbl 0833.65095
Cahn, John W.; Chow, Shui-Nee; Van Vleck, Erik S.
1995
An inverse random source problem for the Helmholtz equation. Zbl 1278.65005
Bao, Gang; Chow, Shui-Nee; Li, Peijun; Zhou, Haomin
2014
Strongly limit-compact maps. Zbl 0297.47048
Chow, Shui-Nee; Hale, Jack K.
1974
Applications of generic bifurcation. II. Zbl 0346.47050
Chow, Shui-Nee; Hale, Jack K.; Mallet-Paret, John
1976
A normally elliptic Hamiltonian bifurcation. Zbl 0805.58047
Broer, H. W.; Chow, S. N.; Kim, Yong-In; Vegter, G.
1993
Characteristic multipliers and stability of symmetric periodic solutions of $$\dot x(t)=g(x(t-1))$$. Zbl 0672.34069
Chow, Shui-Nee; Walther, Hans-Otto
1988
A bifurcation theorem for critical points of variational problems. Zbl 0659.58007
Chow, Shui-Nee; Lauterbach, Reiner
1988
The bifurcation of homoclinic and periodic orbits from two heteroclinic orbits. Zbl 0693.34055
Chow, S.-N.; Deng, B.; Terman, D.
1990
A shadowing lemma with applications to semilinear parabolic equations. Zbl 0696.34033
Chow, Shui-Nee; Lin, Xiao-Biao; Palmer, Kenneth J.
1989
Persistence of invariant tori on submanifolds in Hamiltonian systems. Zbl 1012.37043
Chow, S.-N.; Li, Y.; Yi, Y.
2002
Remarks on one-dimensional delay-differential equations. Zbl 0268.34072
Chow, Shui-Nee
1973
Floquet theory for parabolic differential equations. Zbl 0804.35045
Chow, Shui-Nee; Lu, Kening; Mallet-Paret, John
1994
From sine waves to square waves in delay equations. Zbl 0764.34048
Chow, S.-N.; Hale, J. K.; Huang, W.
1992
Floquet bundles for scalar parabolic equations. Zbl 0822.35057
Chow, Shui-Nee; Lu, Kening; Mallet-Paret, John
1995
On the control of discrete-time distributed parameter systems. Zbl 0253.49004
Lee, Kwang Yun; Chow, Shui-Nee; Barr, Robert O.
1972
Stability, multiplicity and global continuation of symmetric periodic solutions of a nonlinear Volterra integral equation. Zbl 0596.45009
Chow, S.-N.; Diekmann, O.; Mallet-Paret, John
1985
Lyapunov theory and perturbation of stable and asymptotically stable systems. Zbl 0346.34037
Chow, Shui-Nee; Yorke, James A.
1974
Transition layers for singularly perturbed delay differential equations with monotone nonlinearities. Zbl 0684.34071
Chow, Shui-Nee; Lin, Xiao-Biao; Mallet-Paret, John
1989
Periodic solutions of autonomous equations. Zbl 0397.34091
Chow, Shui-Nee; Hale, Jack K.
1978
A periodic orbit index which is a bifurcation invariant. Zbl 0549.34045
Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A.
1983
On boundary value problems for ordinary differential equations. Zbl 0285.34009
Chow, Shui-Nee; Lasota, A.
1973
Singularly perturbed delay-differential equations. Zbl 0551.34036
Chow, Shui-Nee; Mallet-Paret, John
1983
An existence theorem for ordinary differential equations in Banach spaces. Zbl 0264.34072
Chow, Shui-Nee; Schuur, J. D.
1971
A homotopy method for locating all zeros of a system of polynomials. Zbl 0427.65034
Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A.
1979
Bifurcations of subharmonics. Zbl 0612.34036
Chow, S. N.; Shaw, S. W.
1986
Numerical solution of an inverse medium scattering problem with a stochastic source. Zbl 1197.35312
Bao, Gang; Chow, Shui-Nee; Li, Peijun; Zhou, Haomin
2010
The Hamiltonian double-zero eigenvalue. Zbl 0840.58018
Broer, H. W.; Chow, S.-N.; Kim, Y.-I.; Vegter, G.
1995
On the numerical computation of orbits of dynamical systems: The higher dimensional case. Zbl 0769.58040
Chow, Shui-Nee; Palmer, Kenneth J.
1992
A maximum principle for fourth order ordinary differential equations. Zbl 0286.34020
Chow, Shui-Nee; Dunninger, D. R.; Lasota, A.
1973
A maximum principle for n-metaharmonic functions. Zbl 0295.31004
Chow, Shui-Nee; Dunninger, D. R.
1974
The bifurcation of homoclinic orbits from two heteroclinic orbits — A topological approach. Zbl 0758.35043
Chow, S.-N.; Deng, B.; Terman, D.
1991
Aubry-Mather theorem and quasiperiodic orbits for time dependent reversible systems. Zbl 0849.34029
Chow, Shui-Nee; Pei, Ming-Liang
1995
Entropy dissipation of Fokker-Planck equations on graphs. Zbl 1394.37012
Chow, Shui-Nee; Li, Wuchen; Zhou, Haomin
2018
Dynamical spectrum for skew product flow in Banach spaces. Zbl 0852.58070
Chow, S. N.; Leiva, H.
1995
Invariant manifolds and foliations for quasiperiodic systems. Zbl 0821.34044
Chow, Shui-Nee; Lu, Kening
1995
Wiener chaos expansion and simulation of electromagnetic wave propagation excited by a spatially incoherent source. Zbl 1197.60059
2010
A discrete Schrödinger equation via optimal transport on graphs. Zbl 1414.35205
Chow, Shui-Nee; Li, Wuchen; Zhou, Haomin
2019
Normal form and linearization for quasiperiodic systems. Zbl 0761.58046
Chow, Shui-Nee; Lu, Kening; Shen, Yun-Qiu
1992
Lorenz type attractors from codimension one bifurcation. Zbl 0839.34064
Afraimovich, Valentine; Chow, Shui-Nee; Liu, Weishi
1995
Topological spatial chaos and homoclinic points of $$\mathbb{Z} ^ d$$-actions in lattice dynamical systems. Zbl 0847.46040
Afraimovich, Valentine S.; Chow, Shui-Nee
1995
Quasiperiodic dynamics in Bose-Einstein condensates in periodic lattices and superlattices. Zbl 1114.37048
van Noort, M.; Porter, Mason A.; Yi, Y.; Chow, S.-N.
2007
Stability and bifurcation of traveling wave solutions in coupled map lattices. Zbl 0821.34046
Chow, Shui-Nee; Shen, Wenxian
1995
Weak attraction, minimality, recurrence, and almost periodicity in semi- systems. Zbl 0268.54043
Bhatia, Nam P.; Chow, Shui-Nee
1972
On the numerical computation of orbits of dynamical systems: The one- dimensional case. Zbl 0729.34010
Chow, Shui-Nee; Palmer, Kenneth J.
1991
An implicit function theorem for nondifferentiable mappings. Zbl 0264.47045
Chow, Shui-Nee; Lasota, A.
1972
Fundamental theory of contingent differential equations in Banach space. Zbl 0282.34042
Chow, Shui-Nee; Schuur, J. D.
1973
A shadowing lemma approach to global error analysis for initial value ODEs. Zbl 0818.65068
Chow, Shui-Nee; Van Vleck, Erik S.
1994
Singular perturbation problems for a system of differential-difference equations. I. Zbl 0814.34068
Chow, Shui-Nee; Huang, Wenzhang
1994
Spatial chaotic structure of attractors of reaction-diffusion systems. Zbl 0864.35053
Afraimovich, V.; Babin, A.; Chow, S.-N.
1996
Geometry of the Melnikov vector. Zbl 0744.58065
Chow, Shui-Nee; Yamashita, Masahiro
1992
A shadowing lemma for random diffeomorphisms. Zbl 0791.58057
Chow, Shui-Nee; Van Vleck, Erik S.
1993
Existence of evolution operators group for infinite lattice of coupled ordinary differential equation. Zbl 0802.34013
Afraimovich, V. S.; Chow, Shui-Nee
1994
Bifurcation of a unique stable periodic orbit from a homoclinic orbit in infinite-dimensional systems. Zbl 0694.35008
Chow, Shui-Nee; Deng, Bo
1989
Wasserstein Hamiltonian flows. Zbl 1428.35007
Chow, Shui-Nee; Li, Wuchen; Zhou, Haomin
2020
Solving inverse source problems by the orthogonal solution and kernel correction algorithm (OSKCA) with applications in fluorescence tomography. Zbl 1311.65063
Chow, Shui-Nee; Yin, Ke; Zhou, Hao-Min; Behrooz, Ali
2014
Model reference control for SIRS models. Zbl 1163.93325
Chow, Shui-Nee; Li, Yongfeng
2009
On a conjecture of K. Cooke. Zbl 0296.34066
Chow, Shui-Nee
1973
A free boundary problem related to condensed two-phase combustion. I: Semigroup. Zbl 0812.35162
Chow, Shui-Nee; Shen, Wenxian
1994
A free boundary problem related to condensed two-phase combustion. II: Stability and bifurcation. Zbl 0812.35163
Chow, Shui-Nee; Shen, Wenxian
1994
Bifurcation of periodic orbits for non-positive definite Hamiltonian systems. Zbl 0689.34035
Chow, Shui-Nee; Kim, Yong-In
1988
Entropy dissipation semi-discretization schemes for Fokker-Planck equations. Zbl 1416.65212
Chow, Shui-Nee; Dieci, Luca; Li, Wuchen; Zhou, Haomin
2019
Maximum principle of optimal control for functional differential systems. Zbl 0597.49021
Li, X. J.; Chow, S. N.
1987
Dynamics and hydrodynamic limits of the inelastic Boltzmann equation. Zbl 1204.35029
Carlen, Eric; Chow, Shui-Nee; Grigo, Alexander
2010
An analysis of phase noise and Fokker-Planck equations. Zbl 1121.34060
Chow, Shui-Nee; Zhou, Hao-Min
2007
On the transition from supercritical to subcritical Hopf bifurcations. Zbl 0577.34036
Chow, S.-N.; White, R. G.
1982
The boundedness and extendability of differential systems under integral perturbation. Zbl 0295.34039
Bernfeld, Stephen R.; Chow, Shui-Nee
1972
Perturbing almost periodic differential equations. Zbl 0223.34042
Chow, Shui-Nee
1970
Normal forms for quasiperiodic evolutionary equations. Zbl 0949.34049
Chow, Shui-Nee; Lu, Kening; Shen, Yun-Qiu
1996
Synchronization, stability and normal hyperbolicity. Zbl 1098.34542
Chow, Shui-nee; Liu, Weishi
1997
Hyperbolic homoclinic points of $$\mathbb{Z}^ d$$-actions in lattice dynamical systems. Zbl 0874.58064
Afraimovich, V. S.; Chow, Shu-Nee; Shen, Wenxian
1996
Wasserstein Hamiltonian flows. Zbl 1428.35007
Chow, Shui-Nee; Li, Wuchen; Zhou, Haomin
2020
A discrete Schrödinger equation via optimal transport on graphs. Zbl 1414.35205
Chow, Shui-Nee; Li, Wuchen; Zhou, Haomin
2019
Entropy dissipation semi-discretization schemes for Fokker-Planck equations. Zbl 1416.65212
Chow, Shui-Nee; Dieci, Luca; Li, Wuchen; Zhou, Haomin
2019
Population games and discrete optimal transport. Zbl 1417.91096
Chow, Shui-Nee; Li, Wuchen; Lu, Jun; Zhou, Haomin
2019
Entropy dissipation of Fokker-Planck equations on graphs. Zbl 1394.37012
Chow, Shui-Nee; Li, Wuchen; Zhou, Haomin
2018
Method of evolving junctions: a new approach to optimal control with constraints. Zbl 1357.93104
Li, Wuchen; Lu, Jun; Zhou, Haomin; Chow, Shui-Nee
2017
A Newton-like algorithm for the shortest path based on the method of evolving junctions. Zbl 1345.49038
Chow, Shui-Nee; Li, Wuchen; Zhou, Haomin
2016
An inverse random source problem for the Helmholtz equation. Zbl 1278.65005
Bao, Gang; Chow, Shui-Nee; Li, Peijun; Zhou, Haomin
2014
Solving inverse source problems by the orthogonal solution and kernel correction algorithm (OSKCA) with applications in fluorescence tomography. Zbl 1311.65063
Chow, Shui-Nee; Yin, Ke; Zhou, Hao-Min; Behrooz, Ali
2014
Finding the shortest path by evolving junctions on obstacle boundaries (E-JOB): an initial value ODE’s approach. Zbl 1294.65025
Chow, Shui-Nee; Lu, Jun; Zhou, Hao-Min
2013
Fast numerical methods based on SDEs for several problems related to the shortest path. Zbl 1300.65005
Chow, Shui-Nee; Lu, Jun; Zhou, Hao-Min
2013
Fokker-Planck equations for a free energy functional or Markov process on a graph. Zbl 1256.35173
Chow, Shui-Nee; Huang, Wen; Li, Yao; Zhou, Haomin
2012
A natural order in dynamical systems based on Conley-Markov matrices. Zbl 1251.37022
Chow, Shui-Nee; Li, Weiping; Liu, Zhenxin; Zhou, Hao-Min
2012
Skew-product semi-flows and non-autonomous control systems. Zbl 1214.93020
Barcenas, D.; Chow, S.-N.; Leiva, H.; Moya, A. Tineo
2011
A free energy based mathematical study for molecular motors. Zbl 1229.82130
Chow, Shui-Nee; Huang, Wen; Li, Yao; Zhou, Haomin
2011
Numerical solution of an inverse medium scattering problem with a stochastic source. Zbl 1197.35312
Bao, Gang; Chow, Shui-Nee; Li, Peijun; Zhou, Haomin
2010
Wiener chaos expansion and simulation of electromagnetic wave propagation excited by a spatially incoherent source. Zbl 1197.60059
2010
Dynamics and hydrodynamic limits of the inelastic Boltzmann equation. Zbl 1204.35029
Carlen, Eric; Chow, Shui-Nee; Grigo, Alexander
2010
Obituary of Jack K. Hale. Zbl 1194.01079
Chow, Shui-Nee; Mallet-Paret, John
2010
Model reference control for SIRS models. Zbl 1163.93325
Chow, Shui-Nee; Li, Yongfeng
2009
Quasiperiodic dynamics in Bose-Einstein condensates in periodic lattices and superlattices. Zbl 1114.37048
van Noort, M.; Porter, Mason A.; Yi, Y.; Chow, S.-N.
2007
An analysis of phase noise and Fokker-Planck equations. Zbl 1121.34060
Chow, Shui-Nee; Zhou, Hao-Min
2007
Dynamical order in systems of coupled noisy oscillators. Zbl 1132.37024
Chow, Shui-Nee; Shen, Wenxian; Zhou, Hao-Min
2007
A geometric proof of separatrix crossing results. Zbl 1035.37042
Chow, Shui-Nee; Young, Todd
2004
Lattice dynamical systems. Zbl 1046.37051
Chow, Shui-Nee
2003
Persistence of invariant tori on submanifolds in Hamiltonian systems. Zbl 1012.37043
Chow, S.-N.; Li, Y.; Yi, Y.
2002
Infinitely spatially complex solutions of PDE and their homotopy complexity. Zbl 0994.35048
Afraimovich, V.; Babin, A.; Chow, S.-N.
2001
Center manifolds for smooth invariant manifolds. Zbl 0953.34038
Chow, Shui-Nee; Liu, Weishi; Yi, Yingfei
2000
Center manifolds for invariant sets. Zbl 0972.34033
Chow, Shui-Nee; Liu, Weishi; Yi, Yingfei
2000
Theory and application of a nongeneric heteroclinic loop bifurcation. Zbl 0929.34035
Chow, Shui-Nee; Deng, Bo; Friedman, Mark J.
1999
Traveling waves in lattice dynamical systems. Zbl 0911.34050
Chow, Shui-Nee; Mallet-Paret, John; Shen, Wenxian
1998
Uniform long-time behavior of solutions of parabolic equations depending on slow time. Zbl 0915.35050
Babin, Anatoli V.; Chow, Shui-Nee
1998
Synchronization in lattices of coupled oscillators. Zbl 1194.34056
Afraimovich, V. S.; Chow, S.-N.; Hale, J. K.
1997
Synchronization, stability and normal hyperbolicity. Zbl 1098.34542
Chow, Shui-nee; Liu, Weishi
1997
Pattern formation and spatial chaos in spatially discrete evolution equations. Zbl 0883.58020
Chow, Shui-Nee; Mallet-Paret, John; Van Vleck, Erik S.
1996
Dynamics of lattice differential equations. Zbl 1005.39504
Chow, Shui-Nee; Mallet-Paret, John; Van Vleck, Erik S.
1996
Two definitions of exponential dichotomy for skew-product semiflow in Banach spaces. Zbl 0845.34064
Chow, Shui-Nee; Leiva, Hugo
1996
Unbounded perturbation of the exponential dichotomy for evolution equations. Zbl 0857.34062
Chow, S.-N.; Leiva, H.
1996
Spatial chaotic structure of attractors of reaction-diffusion systems. Zbl 0864.35053
Afraimovich, V.; Babin, A.; Chow, S.-N.
1996
Normal forms for quasiperiodic evolutionary equations. Zbl 0949.34049
Chow, Shui-Nee; Lu, Kening; Shen, Yun-Qiu
1996
Hyperbolic homoclinic points of $$\mathbb{Z}^ d$$-actions in lattice dynamical systems. Zbl 0874.58064
Afraimovich, V. S.; Chow, Shu-Nee; Shen, Wenxian
1996
Existence and roughness of the exponential dichotomy for skew-product semiflow in Banach spaces. Zbl 0831.34067
Chow, Shui-Nee; Leiva, Hugo
1995
Dynamics in a discrete Nagumo equation: Spatial topological chaos. Zbl 0840.34012
Chow, Shui-Nee; Shen, Wenxian
1995
Spatially discrete nonlinear diffusion equations. Zbl 0833.65095
Cahn, John W.; Chow, Shui-Nee; Van Vleck, Erik S.
1995
Floquet bundles for scalar parabolic equations. Zbl 0822.35057
Chow, Shui-Nee; Lu, Kening; Mallet-Paret, John
1995
The Hamiltonian double-zero eigenvalue. Zbl 0840.58018
Broer, H. W.; Chow, S.-N.; Kim, Y.-I.; Vegter, G.
1995
Aubry-Mather theorem and quasiperiodic orbits for time dependent reversible systems. Zbl 0849.34029
Chow, Shui-Nee; Pei, Ming-Liang
1995
Dynamical spectrum for skew product flow in Banach spaces. Zbl 0852.58070
Chow, S. N.; Leiva, H.
1995
Invariant manifolds and foliations for quasiperiodic systems. Zbl 0821.34044
Chow, Shui-Nee; Lu, Kening
1995
Lorenz type attractors from codimension one bifurcation. Zbl 0839.34064
Afraimovich, Valentine; Chow, Shui-Nee; Liu, Weishi
1995
Topological spatial chaos and homoclinic points of $$\mathbb{Z} ^ d$$-actions in lattice dynamical systems. Zbl 0847.46040
Afraimovich, Valentine S.; Chow, Shui-Nee
1995
Stability and bifurcation of traveling wave solutions in coupled map lattices. Zbl 0821.34046
Chow, Shui-Nee; Shen, Wenxian
1995
Dynamical spectrum for time dependent linear systems in Banach spaces. Zbl 0818.34029
Chow, Shui-Nee; Leiva, Hugo
1994
Floquet theory for parabolic differential equations. Zbl 0804.35045
Chow, Shui-Nee; Lu, Kening; Mallet-Paret, John
1994
A shadowing lemma approach to global error analysis for initial value ODEs. Zbl 0818.65068
Chow, Shui-Nee; Van Vleck, Erik S.
1994
Singular perturbation problems for a system of differential-difference equations. I. Zbl 0814.34068
Chow, Shui-Nee; Huang, Wenzhang
1994
Existence of evolution operators group for infinite lattice of coupled ordinary differential equation. Zbl 0802.34013
Afraimovich, V. S.; Chow, Shui-Nee
1994
A free boundary problem related to condensed two-phase combustion. I: Semigroup. Zbl 0812.35162
Chow, Shui-Nee; Shen, Wenxian
1994
A free boundary problem related to condensed two-phase combustion. II: Stability and bifurcation. Zbl 0812.35163
Chow, Shui-Nee; Shen, Wenxian
1994
Shadowing of lattice maps. Zbl 0811.58041
Chow, Shui-Nee; Van Vleck, Erik S.
1994
A normally elliptic Hamiltonian bifurcation. Zbl 0805.58047
Broer, H. W.; Chow, S. N.; Kim, Yong-In; Vegter, G.
1993
A shadowing lemma for random diffeomorphisms. Zbl 0791.58057
Chow, Shui-Nee; Van Vleck, Erik S.
1993
Smoothness of inertial manifolds. Zbl 0767.58026
Chow, Shui-Nee; Lu, Kening; Sell, George R.
1992
From sine waves to square waves in delay equations. Zbl 0764.34048
Chow, S.-N.; Hale, J. K.; Huang, W.
1992
On the numerical computation of orbits of dynamical systems: The higher dimensional case. Zbl 0769.58040
Chow, Shui-Nee; Palmer, Kenneth J.
1992
Normal form and linearization for quasiperiodic systems. Zbl 0761.58046
Chow, Shui-Nee; Lu, Kening; Shen, Yun-Qiu
1992
Geometry of the Melnikov vector. Zbl 0744.58065
Chow, Shui-Nee; Yamashita, Masahiro
1992
The accuracy of numerically computed orbits of dynamical systems in $$R^ k$$. Zbl 0736.34012
Chow, Shui-Nee; Palmer, Kenneth J.
1992
Transition layers for a singularly perturbed 2-dimensional system of differential-difference equations. Zbl 0763.34046
Chow, Shui-Nee; Huang, Wenzhang
1992
Smooth invariant foliations in infinite dimensional spaces. Zbl 0749.58043
Chow, Shui-Nee; Lin, Xiao-Biao; Lu, Kening
1991
The bifurcation of homoclinic orbits from two heteroclinic orbits — A topological approach. Zbl 0758.35043
Chow, S.-N.; Deng, B.; Terman, D.
1991
On the numerical computation of orbits of dynamical systems: The one- dimensional case. Zbl 0729.34010
Chow, Shui-Nee; Palmer, Kenneth J.
1991
Homoclinic bifurcation at resonant eigenvalues. Zbl 0703.34050
Chow, Shui-Nee; Deng, Bo; Fiedler, Bernold
1990
The bifurcation of homoclinic and periodic orbits from two heteroclinic orbits. Zbl 0693.34055
Chow, S.-N.; Deng, B.; Terman, D.
1990
A shadowing lemma with applications to semilinear parabolic equations. Zbl 0696.34033
Chow, Shui-Nee; Lin, Xiao-Biao; Palmer, Kenneth J.
1989
Transition layers for singularly perturbed delay differential equations with monotone nonlinearities. Zbl 0684.34071
Chow, Shui-Nee; Lin, Xiao-Biao; Mallet-Paret, John
1989
Bifurcation of a unique stable periodic orbit from a homoclinic orbit in infinite-dimensional systems. Zbl 0694.35008
Chow, Shui-Nee; Deng, Bo
1989
A shadowing lemma for maps in infinite dimensions. Zbl 0689.34041
Chow, Shui-Nee; Lin, Xiao-Biao; Palmer, Kenneth J.
1989
Invariant manifolds for flows in Banach spaces. Zbl 0691.58034
Chow, Shui-Nee; Lu, Kening
1988
C$${}^ k$$ centre unstable manifolds. Zbl 0707.34039
Chow, Shui-Nee; Lu, Ke ning
1988
Characteristic multipliers and stability of symmetric periodic solutions of $$\dot x(t)=g(x(t-1))$$. Zbl 0672.34069
Chow, Shui-Nee; Walther, Hans-Otto
1988
A bifurcation theorem for critical points of variational problems. Zbl 0659.58007
Chow, Shui-Nee; Lauterbach, Reiner
1988
Bifurcation of periodic orbits for non-positive definite Hamiltonian systems. Zbl 0689.34035
Chow, Shui-Nee; Kim, Yong-In
1988
Maximum principle of optimal control for functional differential systems. Zbl 0597.49021
Li, X. J.; Chow, S. N.
1987
Dynamics of infinite dimensional systems. (Proceedings of the NATO Advanced Study Institute on Dynamics of Infinite Dimensional Systems, held in Lisbon, Portugal, May 19-24, 1986). Zbl 0623.00009
1987
On the number of critical points of the period. Zbl 0594.34028
Chow, S.-N.; Sanders, J. A.
1986
Bifurcations of subharmonics. Zbl 0612.34036
Chow, S. N.; Shaw, S. W.
1986
Abelian integrals and bifurcation theory. Zbl 0587.34033
Carr, Jack; Chow, Shui-Nee; Hale, Jack K.
1985
Stability, multiplicity and global continuation of symmetric periodic solutions of a nonlinear Volterra integral equation. Zbl 0596.45009
Chow, S.-N.; Diekmann, O.; Mallet-Paret, John
1985
Generic properties of stationary state solutions of reaction-diffusion equations. Zbl 0544.34019
Brunovsky, Pavol; Chow, Shui-Nee
1984
The ghost solution of the logistic equation and a singular perturbation problem. Zbl 0628.65058
Chow, S. N.; de Jager, E. M.; Lutz, R.
1984
A periodic orbit index which is a bifurcation invariant. Zbl 0549.34045
Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A.
1983
Singularly perturbed delay-differential equations. Zbl 0551.34036
Chow, Shui-Nee; Mallet-Paret, John
1983
Methods of bifurcation theory. Zbl 0487.47039
Chow, Shui-Nee; Hale, Jack K.
1982
On the transition from supercritical to subcritical Hopf bifurcations. Zbl 0577.34036
Chow, S.-N.; White, R. G.
1982
An example of bifurcation to homoclinic orbits. Zbl 0439.34035
Chow, Shui-Nee; Hale, Jack K.; Mallet-Paret, John
1980
Singular nonlinear equations on an unbounded interval. Zbl 0444.34012
Chow, S. N.; Kurtz, J. C.
1980
The parameterized obstacle problem. Zbl 0454.49005
Chow, Shui-Nee; Mallet-Paret, John
1980
A homotopy method for locating all zeros of a system of polynomials. Zbl 0427.65034
Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A.
1979
Finding zeroes of maps: homotopy methods that are constructive with probability one. Zbl 0398.65029
Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A.
1978
...and 25 more Documents
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### Cited by 1,803 Authors

 24 Lu, Kening 23 Chow, Shui-Nee 22 Zhou, Shengfan 20 Li, Wuchen 20 Zhang, Weinian 19 Hsu, Cheng-Hsiung 19 Zhou, Hao-Min 18 Van Vleck, Erik S. 17 Shen, Wenxian 17 Wang, Bixiang 16 Lin, Song-Sun 16 Mallet-Paret, John Joseph 15 Wu, Jianhong 14 Ban, Jungchao 14 Hale, Jack Kenneth 13 Li, Peijun 13 Mielke, Alexander 13 Zhao, Caidi 12 Atanackovic, Teodor M. 12 Hupkes, Hermen Jan 12 Song, Yongli 12 Watson, Layne Terry 11 Han, Maoan 11 Han, Xiaoying 11 Maas, Jan 10 Fečkan, Michal 10 Lin, Xiaobiao 10 Shen, Jun 10 Smith, Hal Leslie 10 Su, Menglong 10 Yu, Bo 9 Krawcewicz, Wieslaw Z. 9 Li, Wan-Tong 9 Yorke, James Alan 8 Erbar, Matthias 8 Li, Yong 8 Mischaikow, Konstantin 8 Zeng, Chongchun 7 Abdallah, Ahmed Y. 7 Ezzinbi, Khalil 7 Holmes, Philip J. 7 Lessard, Jean-Philippe 7 Lin, Zhenghua 7 Nussbaum, Roger David 7 Palmer, Kenneth James 7 Wei, Junjie 7 Xiao, Dongmei 7 Zhu, Zhichuan 6 Balanov, Zalman I. 6 Bao, Gang 6 Bonfoh, Ahmed S. 6 Caraballo Garrido, Tomás 6 Chang, Chih-Hung 6 Chen, Chuchu 6 Chicone, Carmen C. 6 Fan, Xiaona 6 Feng, Zhaosheng 6 Guo, Jong-Shenq 6 Guo, Shangjiang 6 Huang, Wenzhang 6 Li, Tien-Yien 6 Lin, Yin-Heng 6 Marsden, Jerrold Eldon 6 Nguyen Van Minh 6 Poláčik, Peter 6 Ruan, Shigui 6 Schmalfuß, Björn 6 Shi, Junping 6 Stehlík, Petr 6 Stewart, Ian Nicholas 6 Walther, Hans-Otto 6 Weng, Peixuan 6 Zou, Xingfu 5 Alexander, James Crew 5 Bates, Peter W. 5 Battelli, Flaviano 5 Brunovský, Pavol 5 Cheng, Cuiping 5 Chueshov, Igor’ Dmitrievich 5 Cicogna, Giampaolo 5 Dumortier, Freddy 5 ElBialy, Mohamed Sami 5 Fiedler, Bernold 5 Flockerzi, Dietrich 5 Guo, Zhiming 5 Hu, Wen-Guei 5 Jezierski, Jerzy 5 Kloeden, Peter Eris 5 Li, Jibin 5 Li, Xiaojun 5 Lin, Zhiwu 5 Liu, Weishi 5 Pelinovsky, Dmitry Efimovich 5 Rezunenko, Oleksandr V”yacheslavovych 5 Sell, George Roger 5 Slavík, Antonín 5 Wang, Xiaohu 5 Wang, Yi 5 Wu, Shiliang 5 Yang, Tzi-Sheng ...and 1,703 more Authors
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### Cited in 281 Serials

 194 Journal of Differential Equations 76 Journal of Mathematical Analysis and Applications 73 Journal of Dynamics and Differential Equations 60 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 45 Applied Mathematics and Computation 42 Physica D 38 Nonlinear Analysis. Theory, Methods & Applications 34 Transactions of the American Mathematical Society 33 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 30 Discrete and Continuous Dynamical Systems 29 ZAMP. Zeitschrift für angewandte Mathematik und Physik 28 Archive for Rational Mechanics and Analysis 24 Nonlinear Dynamics 23 Applicable Analysis 23 Journal of Computational and Applied Mathematics 21 Journal of Mathematical Biology 21 Proceedings of the American Mathematical Society 21 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 21 Discrete and Continuous Dynamical Systems. Series B 19 Journal of Difference Equations and Applications 16 Annali di Matematica Pura ed Applicata. Serie Quarta 16 Applied Mathematics and Mechanics. (English Edition) 15 Chaos, Solitons and Fractals 15 Journal of Nonlinear Science 14 Journal of Mathematical Physics 13 Inverse Problems 11 Communications in Mathematical Physics 11 Acta Mathematicae Applicatae Sinica. English Series 11 Qualitative Theory of Dynamical Systems 11 Nonlinear Analysis. Real World Applications 10 Mathematics of Computation 10 Numerische Mathematik 10 Acta Applicandae Mathematicae 10 Chaos 10 Acta Mathematica Sinica. English Series 9 Journal of Functional Analysis 9 Abstract and Applied Analysis 8 Acta Mechanica 8 Computers & Mathematics with Applications 8 SIAM Journal on Applied Dynamical Systems 8 Journal of Applied Analysis and Computation 7 Journal of Optimization Theory and Applications 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Journal of Scientific Computing 7 SIAM Journal on Mathematical Analysis 7 Stochastics and Dynamics 7 Advances in Difference Equations 6 Rocky Mountain Journal of Mathematics 6 Dynamical Systems 5 Journal of Statistical Physics 5 Ukrainian Mathematical Journal 5 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 5 Mathematical Programming 5 Tohoku Mathematical Journal. Second Series 5 Japan Journal of Applied Mathematics 5 Applied Mathematics Letters 5 Mathematical and Computer Modelling 5 Dynamics and Stability of Systems 5 Japan Journal of Industrial and Applied Mathematics 5 Applications of Mathematics 5 Journal of Global Optimization 5 Numerical Algorithms 5 Communications in Partial Differential Equations 5 SIAM Journal on Applied Mathematics 5 Calculus of Variations and Partial Differential Equations 5 NoDEA. Nonlinear Differential Equations and Applications 5 Mathematical Problems in Engineering 4 Communications on Pure and Applied Mathematics 4 Journal of Computational Physics 4 Mathematical Methods in the Applied Sciences 4 Advances in Mathematics 4 Manuscripta Mathematica 4 SIAM Journal on Numerical Analysis 4 Science in China. Series A 4 Bulletin of the American Mathematical Society. New Series 4 Acta Mathematica Sinica. New Series 4 Journal of Mathematical Sciences (New York) 4 Journal of Inequalities and Applications 4 Journal of Shanghai University 4 Communications on Pure and Applied Analysis 4 Journal of Applied Mathematics and Computing 4 Journal of Fixed Point Theory and Applications 4 Science China. Mathematics 3 International Journal of Systems Science 3 Journal of Engineering Mathematics 3 Archiv der Mathematik 3 Automatica 3 Czechoslovak Mathematical Journal 3 International Journal of Circuit Theory and Applications 3 Mathematische Annalen 3 Mathematica Slovaca 3 Memoirs of the American Mathematical Society 3 Chinese Annals of Mathematics. Series B 3 Applied Numerical Mathematics 3 Journal of Integral Equations and Applications 3 Applied Mathematical Modelling 3 Linear Algebra and its Applications 3 Continuum Mechanics and Thermodynamics 3 Differential Equations and Dynamical Systems 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences ...and 181 more Serials
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### Cited in 51 Fields

 762 Ordinary differential equations (34-XX) 546 Dynamical systems and ergodic theory (37-XX) 470 Partial differential equations (35-XX) 197 Numerical analysis (65-XX) 170 Biology and other natural sciences (92-XX) 123 Operator theory (47-XX) 105 Probability theory and stochastic processes (60-XX) 69 Global analysis, analysis on manifolds (58-XX) 66 Mechanics of deformable solids (74-XX) 55 Operations research, mathematical programming (90-XX) 51 Difference and functional equations (39-XX) 49 Fluid mechanics (76-XX) 47 Mechanics of particles and systems (70-XX) 47 Systems theory; control (93-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 41 Statistical mechanics, structure of matter (82-XX) 23 Computer science (68-XX) 22 Information and communication theory, circuits (94-XX) 21 Algebraic topology (55-XX) 19 Integral equations (45-XX) 19 Optics, electromagnetic theory (78-XX) 15 Differential geometry (53-XX) 15 General topology (54-XX) 12 Functional analysis (46-XX) 12 Statistics (62-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Classical thermodynamics, heat transfer (80-XX) 10 Real functions (26-XX) 9 Manifolds and cell complexes (57-XX) 7 Measure and integration (28-XX) 7 Functions of a complex variable (30-XX) 6 Field theory and polynomials (12-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Approximations and expansions (41-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 Relativity and gravitational theory (83-XX)

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