Edit Profile (opens in new tab) Chow, Shui-Nee Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0346.58007Marsden, J. E.; McCracken, M. 467 1976 Methods of bifurcation theory. Zbl 0487.47039Chow, Shui-Nee; Hale, Jack K. 397 1982 Traveling waves in lattice dynamical systems. Zbl 0911.34050Chow, Shui-Nee; Mallet-Paret, John; Shen, Wenxian 177 1998 Existence and roughness of the exponential dichotomy for skew-product semiflow in Banach spaces. Zbl 0831.34067Chow, Shui-Nee; Leiva, Hugo 132 1995 Invariant manifolds for flows in Banach spaces. Zbl 0691.58034Chow, Shui-Nee; Lu, Kening 126 1988 Finding zeroes of maps: homotopy methods that are constructive with probability one. Zbl 0398.65029Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A. 108 1978 An example of bifurcation to homoclinic orbits. Zbl 0439.34035Chow, Shui-Nee; Hale, Jack K.; Mallet-Paret, John 108 1980 Integral averaging and bifurcation. Zbl 0367.34033Chow, Shui-Nee; Mallet-Paret, John 106 1977 Pattern formation and spatial chaos in spatially discrete evolution equations. Zbl 0883.58020Chow, Shui-Nee; Mallet-Paret, John; Van Vleck, Erik S. 74 1996 Lattice dynamical systems. Zbl 1046.37051Chow, Shui-Nee 72 2003 Homoclinic bifurcation at resonant eigenvalues. Zbl 0703.34050Chow, Shui-Nee; Deng, Bo; Fiedler, Bernold 67 1990 Smooth invariant foliations in infinite dimensional spaces. Zbl 0749.58043Chow, Shui-Nee; Lin, Xiao-Biao; Lu, Kening 64 1991 The Fuller index and global Hopf bifurcation. Zbl 0369.34020Chow, Shui-Nee; Mallet-Paret, John 63 1978 Existence of periodic solutions of autonomous functional differential equations. Zbl 0295.34055Chow, Shui-Nee 62 1974 Dynamics in a discrete Nagumo equation: Spatial topological chaos. Zbl 0840.34012Chow, Shui-Nee; Shen, Wenxian 58 1995 Fokker-Planck equations for a free energy functional or Markov process on a graph. Zbl 1256.35173Chow, Shui-Nee; Huang, Wen; Li, Yao; Zhou, Haomin 55 2012 On the number of critical points of the period. Zbl 0594.34028Chow, S.-N.; Sanders, J. A. 46 1986 Dynamics of lattice differential equations. Zbl 1005.39504Chow, Shui-Nee; Mallet-Paret, John; Van Vleck, Erik S. 39 1996 Synchronization in lattices of coupled oscillators. Zbl 1194.34056Afraimovich, V. S.; Chow, S.-N.; Hale, J. K. 39 1997 Applications of generic bifurcation. I. Zbl 0328.47036Chow, Shui-Nee; Hale, Jack K.; Mallet-Paret, John 38 1975 Center manifolds for smooth invariant manifolds. Zbl 0953.34038Chow, Shui-Nee; Liu, Weishi; Yi, Yingfei 37 2000 Generic properties of stationary state solutions of reaction-diffusion equations. Zbl 0544.34019Brunovsky, Pavol; Chow, Shui-Nee 35 1984 Dynamical spectrum for time dependent linear systems in Banach spaces. Zbl 0818.34029Chow, Shui-Nee; Leiva, Hugo 35 1994 Abelian integrals and bifurcation theory. Zbl 0587.34033Carr, Jack; Chow, Shui-Nee; Hale, Jack K. 35 1985 Two definitions of exponential dichotomy for skew-product semiflow in Banach spaces. Zbl 0845.34064Chow, Shui-Nee; Leiva, Hugo 34 1996 Center manifolds for invariant sets. Zbl 0972.34033Chow, Shui-Nee; Liu, Weishi; Yi, Yingfei 34 2000 Unbounded perturbation of the exponential dichotomy for evolution equations. Zbl 0857.34062Chow, S.-N.; Leiva, H. 32 1996 Global Hopf bifurcation from a multiple eigenvalue. Zbl 0407.47039Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A. 32 1978 Smoothness of inertial manifolds. Zbl 0767.58026Chow, Shui-Nee; Lu, Kening; Sell, George R. 31 1992 C\({}^ k\) centre unstable manifolds. Zbl 0707.34039Chow, Shui-Nee; Lu, Ke ning 31 1988 Spatially discrete nonlinear diffusion equations. Zbl 0833.65095Cahn, John W.; Chow, Shui-Nee; Van Vleck, Erik S. 28 1995 An inverse random source problem for the Helmholtz equation. Zbl 1278.65005Bao, Gang; Chow, Shui-Nee; Li, Peijun; Zhou, Haomin 25 2014 Strongly limit-compact maps. Zbl 0297.47048Chow, Shui-Nee; Hale, Jack K. 24 1974 Applications of generic bifurcation. II. Zbl 0346.47050Chow, Shui-Nee; Hale, Jack K.; Mallet-Paret, John 24 1976 A normally elliptic Hamiltonian bifurcation. Zbl 0805.58047Broer, H. W.; Chow, S. N.; Kim, Yong-In; Vegter, G. 24 1993 Characteristic multipliers and stability of symmetric periodic solutions of \(\dot x(t)=g(x(t-1))\). Zbl 0672.34069Chow, Shui-Nee; Walther, Hans-Otto 24 1988 A bifurcation theorem for critical points of variational problems. Zbl 0659.58007Chow, Shui-Nee; Lauterbach, Reiner 22 1988 The bifurcation of homoclinic and periodic orbits from two heteroclinic orbits. Zbl 0693.34055Chow, S.-N.; Deng, B.; Terman, D. 22 1990 A shadowing lemma with applications to semilinear parabolic equations. Zbl 0696.34033Chow, Shui-Nee; Lin, Xiao-Biao; Palmer, Kenneth J. 21 1989 Persistence of invariant tori on submanifolds in Hamiltonian systems. Zbl 1012.37043Chow, S.-N.; Li, Y.; Yi, Y. 20 2002 Remarks on one-dimensional delay-differential equations. Zbl 0268.34072Chow, Shui-Nee 19 1973 Floquet theory for parabolic differential equations. Zbl 0804.35045Chow, Shui-Nee; Lu, Kening; Mallet-Paret, John 19 1994 From sine waves to square waves in delay equations. Zbl 0764.34048Chow, S.-N.; Hale, J. K.; Huang, W. 18 1992 Floquet bundles for scalar parabolic equations. Zbl 0822.35057Chow, Shui-Nee; Lu, Kening; Mallet-Paret, John 18 1995 On the control of discrete-time distributed parameter systems. Zbl 0253.49004Lee, Kwang Yun; Chow, Shui-Nee; Barr, Robert O. 16 1972 Stability, multiplicity and global continuation of symmetric periodic solutions of a nonlinear Volterra integral equation. Zbl 0596.45009Chow, S.-N.; Diekmann, O.; Mallet-Paret, John 15 1985 Lyapunov theory and perturbation of stable and asymptotically stable systems. Zbl 0346.34037Chow, Shui-Nee; Yorke, James A. 15 1974 Transition layers for singularly perturbed delay differential equations with monotone nonlinearities. Zbl 0684.34071Chow, Shui-Nee; Lin, Xiao-Biao; Mallet-Paret, John 15 1989 Periodic solutions of autonomous equations. Zbl 0397.34091Chow, Shui-Nee; Hale, Jack K. 15 1978 A periodic orbit index which is a bifurcation invariant. Zbl 0549.34045Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A. 14 1983 On boundary value problems for ordinary differential equations. Zbl 0285.34009Chow, Shui-Nee; Lasota, A. 14 1973 Singularly perturbed delay-differential equations. Zbl 0551.34036Chow, Shui-Nee; Mallet-Paret, John 13 1983 An existence theorem for ordinary differential equations in Banach spaces. Zbl 0264.34072Chow, Shui-Nee; Schuur, J. D. 13 1971 A homotopy method for locating all zeros of a system of polynomials. Zbl 0427.65034Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A. 13 1979 Bifurcations of subharmonics. Zbl 0612.34036Chow, S. N.; Shaw, S. W. 12 1986 Numerical solution of an inverse medium scattering problem with a stochastic source. Zbl 1197.35312Bao, Gang; Chow, Shui-Nee; Li, Peijun; Zhou, Haomin 12 2010 The Hamiltonian double-zero eigenvalue. Zbl 0840.58018Broer, H. W.; Chow, S.-N.; Kim, Y.-I.; Vegter, G. 12 1995 On the numerical computation of orbits of dynamical systems: The higher dimensional case. Zbl 0769.58040Chow, Shui-Nee; Palmer, Kenneth J. 10 1992 A maximum principle for fourth order ordinary differential equations. Zbl 0286.34020Chow, Shui-Nee; Dunninger, D. R.; Lasota, A. 10 1973 A maximum principle for n-metaharmonic functions. Zbl 0295.31004Chow, Shui-Nee; Dunninger, D. R. 10 1974 The bifurcation of homoclinic orbits from two heteroclinic orbits — A topological approach. Zbl 0758.35043Chow, S.-N.; Deng, B.; Terman, D. 9 1991 Aubry-Mather theorem and quasiperiodic orbits for time dependent reversible systems. Zbl 0849.34029Chow, Shui-Nee; Pei, Ming-Liang 9 1995 Entropy dissipation of Fokker-Planck equations on graphs. Zbl 1394.37012Chow, Shui-Nee; Li, Wuchen; Zhou, Haomin 9 2018 Dynamical spectrum for skew product flow in Banach spaces. Zbl 0852.58070Chow, S. N.; Leiva, H. 8 1995 Invariant manifolds and foliations for quasiperiodic systems. Zbl 0821.34044Chow, Shui-Nee; Lu, Kening 8 1995 Wiener chaos expansion and simulation of electromagnetic wave propagation excited by a spatially incoherent source. Zbl 1197.60059Badieirostami, Majid; Adibi, Ali; Zhou, Hao-Min; Chow, Shui-Nee 8 2010 A discrete Schrödinger equation via optimal transport on graphs. Zbl 1414.35205Chow, Shui-Nee; Li, Wuchen; Zhou, Haomin 8 2019 Normal form and linearization for quasiperiodic systems. Zbl 0761.58046Chow, Shui-Nee; Lu, Kening; Shen, Yun-Qiu 7 1992 Lorenz type attractors from codimension one bifurcation. Zbl 0839.34064Afraimovich, Valentine; Chow, Shui-Nee; Liu, Weishi 7 1995 Topological spatial chaos and homoclinic points of \(\mathbb{Z} ^ d\)-actions in lattice dynamical systems. Zbl 0847.46040Afraimovich, Valentine S.; Chow, Shui-Nee 6 1995 Quasiperiodic dynamics in Bose-Einstein condensates in periodic lattices and superlattices. Zbl 1114.37048van Noort, M.; Porter, Mason A.; Yi, Y.; Chow, S.-N. 6 2007 Stability and bifurcation of traveling wave solutions in coupled map lattices. Zbl 0821.34046Chow, Shui-Nee; Shen, Wenxian 6 1995 Weak attraction, minimality, recurrence, and almost periodicity in semi- systems. Zbl 0268.54043Bhatia, Nam P.; Chow, Shui-Nee 6 1972 On the numerical computation of orbits of dynamical systems: The one- dimensional case. Zbl 0729.34010Chow, Shui-Nee; Palmer, Kenneth J. 6 1991 An implicit function theorem for nondifferentiable mappings. Zbl 0264.47045Chow, Shui-Nee; Lasota, A. 5 1972 Fundamental theory of contingent differential equations in Banach space. Zbl 0282.34042Chow, Shui-Nee; Schuur, J. D. 5 1973 A shadowing lemma approach to global error analysis for initial value ODEs. Zbl 0818.65068Chow, Shui-Nee; Van Vleck, Erik S. 5 1994 Singular perturbation problems for a system of differential-difference equations. I. Zbl 0814.34068Chow, Shui-Nee; Huang, Wenzhang 5 1994 Spatial chaotic structure of attractors of reaction-diffusion systems. Zbl 0864.35053Afraimovich, V.; Babin, A.; Chow, S.-N. 5 1996 Geometry of the Melnikov vector. Zbl 0744.58065Chow, Shui-Nee; Yamashita, Masahiro 4 1992 A shadowing lemma for random diffeomorphisms. Zbl 0791.58057Chow, Shui-Nee; Van Vleck, Erik S. 4 1993 Existence of evolution operators group for infinite lattice of coupled ordinary differential equation. Zbl 0802.34013Afraimovich, V. S.; Chow, Shui-Nee 4 1994 Bifurcation of a unique stable periodic orbit from a homoclinic orbit in infinite-dimensional systems. Zbl 0694.35008Chow, Shui-Nee; Deng, Bo 4 1989 Wasserstein Hamiltonian flows. Zbl 1428.35007Chow, Shui-Nee; Li, Wuchen; Zhou, Haomin 4 2020 Solving inverse source problems by the orthogonal solution and kernel correction algorithm (OSKCA) with applications in fluorescence tomography. Zbl 1311.65063Chow, Shui-Nee; Yin, Ke; Zhou, Hao-Min; Behrooz, Ali 3 2014 Model reference control for SIRS models. Zbl 1163.93325Chow, Shui-Nee; Li, Yongfeng 3 2009 On a conjecture of K. Cooke. Zbl 0296.34066Chow, Shui-Nee 3 1973 A free boundary problem related to condensed two-phase combustion. I: Semigroup. Zbl 0812.35162Chow, Shui-Nee; Shen, Wenxian 3 1994 A free boundary problem related to condensed two-phase combustion. II: Stability and bifurcation. Zbl 0812.35163Chow, Shui-Nee; Shen, Wenxian 3 1994 Bifurcation of periodic orbits for non-positive definite Hamiltonian systems. Zbl 0689.34035Chow, Shui-Nee; Kim, Yong-In 3 1988 Entropy dissipation semi-discretization schemes for Fokker-Planck equations. Zbl 1416.65212Chow, Shui-Nee; Dieci, Luca; Li, Wuchen; Zhou, Haomin 3 2019 Maximum principle of optimal control for functional differential systems. Zbl 0597.49021Li, X. J.; Chow, S. N. 2 1987 Dynamics and hydrodynamic limits of the inelastic Boltzmann equation. Zbl 1204.35029Carlen, Eric; Chow, Shui-Nee; Grigo, Alexander 2 2010 An analysis of phase noise and Fokker-Planck equations. Zbl 1121.34060Chow, Shui-Nee; Zhou, Hao-Min 2 2007 On the transition from supercritical to subcritical Hopf bifurcations. Zbl 0577.34036Chow, S.-N.; White, R. G. 2 1982 The boundedness and extendability of differential systems under integral perturbation. Zbl 0295.34039Bernfeld, Stephen R.; Chow, Shui-Nee 2 1972 Perturbing almost periodic differential equations. Zbl 0223.34042Chow, Shui-Nee 2 1970 Normal forms for quasiperiodic evolutionary equations. Zbl 0949.34049Chow, Shui-Nee; Lu, Kening; Shen, Yun-Qiu 2 1996 Synchronization, stability and normal hyperbolicity. Zbl 1098.34542Chow, Shui-nee; Liu, Weishi 2 1997 Hyperbolic homoclinic points of \(\mathbb{Z}^ d\)-actions in lattice dynamical systems. Zbl 0874.58064Afraimovich, V. S.; Chow, Shu-Nee; Shen, Wenxian 2 1996 Wasserstein Hamiltonian flows. Zbl 1428.35007Chow, Shui-Nee; Li, Wuchen; Zhou, Haomin 4 2020 A discrete Schrödinger equation via optimal transport on graphs. Zbl 1414.35205Chow, Shui-Nee; Li, Wuchen; Zhou, Haomin 8 2019 Entropy dissipation semi-discretization schemes for Fokker-Planck equations. Zbl 1416.65212Chow, Shui-Nee; Dieci, Luca; Li, Wuchen; Zhou, Haomin 3 2019 Population games and discrete optimal transport. Zbl 1417.91096Chow, Shui-Nee; Li, Wuchen; Lu, Jun; Zhou, Haomin 1 2019 Entropy dissipation of Fokker-Planck equations on graphs. Zbl 1394.37012Chow, Shui-Nee; Li, Wuchen; Zhou, Haomin 9 2018 Method of evolving junctions: a new approach to optimal control with constraints. Zbl 1357.93104Li, Wuchen; Lu, Jun; Zhou, Haomin; Chow, Shui-Nee 1 2017 A Newton-like algorithm for the shortest path based on the method of evolving junctions. Zbl 1345.49038Chow, Shui-Nee; Li, Wuchen; Zhou, Haomin 1 2016 An inverse random source problem for the Helmholtz equation. Zbl 1278.65005Bao, Gang; Chow, Shui-Nee; Li, Peijun; Zhou, Haomin 25 2014 Solving inverse source problems by the orthogonal solution and kernel correction algorithm (OSKCA) with applications in fluorescence tomography. Zbl 1311.65063Chow, Shui-Nee; Yin, Ke; Zhou, Hao-Min; Behrooz, Ali 3 2014 Finding the shortest path by evolving junctions on obstacle boundaries (E-JOB): an initial value ODE’s approach. Zbl 1294.65025Chow, Shui-Nee; Lu, Jun; Zhou, Hao-Min 2 2013 Fast numerical methods based on SDEs for several problems related to the shortest path. Zbl 1300.65005Chow, Shui-Nee; Lu, Jun; Zhou, Hao-Min 1 2013 Fokker-Planck equations for a free energy functional or Markov process on a graph. Zbl 1256.35173Chow, Shui-Nee; Huang, Wen; Li, Yao; Zhou, Haomin 55 2012 A natural order in dynamical systems based on Conley-Markov matrices. Zbl 1251.37022Chow, Shui-Nee; Li, Weiping; Liu, Zhenxin; Zhou, Hao-Min 1 2012 Skew-product semi-flows and non-autonomous control systems. Zbl 1214.93020Barcenas, D.; Chow, S.-N.; Leiva, H.; Moya, A. Tineo 2 2011 A free energy based mathematical study for molecular motors. Zbl 1229.82130Chow, Shui-Nee; Huang, Wen; Li, Yao; Zhou, Haomin 1 2011 Numerical solution of an inverse medium scattering problem with a stochastic source. Zbl 1197.35312Bao, Gang; Chow, Shui-Nee; Li, Peijun; Zhou, Haomin 12 2010 Wiener chaos expansion and simulation of electromagnetic wave propagation excited by a spatially incoherent source. Zbl 1197.60059Badieirostami, Majid; Adibi, Ali; Zhou, Hao-Min; Chow, Shui-Nee 8 2010 Dynamics and hydrodynamic limits of the inelastic Boltzmann equation. Zbl 1204.35029Carlen, Eric; Chow, Shui-Nee; Grigo, Alexander 2 2010 Obituary of Jack K. Hale. Zbl 1194.01079Chow, Shui-Nee; Mallet-Paret, John 1 2010 Model reference control for SIRS models. Zbl 1163.93325Chow, Shui-Nee; Li, Yongfeng 3 2009 Quasiperiodic dynamics in Bose-Einstein condensates in periodic lattices and superlattices. Zbl 1114.37048van Noort, M.; Porter, Mason A.; Yi, Y.; Chow, S.-N. 6 2007 An analysis of phase noise and Fokker-Planck equations. Zbl 1121.34060Chow, Shui-Nee; Zhou, Hao-Min 2 2007 Dynamical order in systems of coupled noisy oscillators. Zbl 1132.37024Chow, Shui-Nee; Shen, Wenxian; Zhou, Hao-Min 1 2007 A geometric proof of separatrix crossing results. Zbl 1035.37042Chow, Shui-Nee; Young, Todd 1 2004 Lattice dynamical systems. Zbl 1046.37051Chow, Shui-Nee 72 2003 Persistence of invariant tori on submanifolds in Hamiltonian systems. Zbl 1012.37043Chow, S.-N.; Li, Y.; Yi, Y. 20 2002 Infinitely spatially complex solutions of PDE and their homotopy complexity. Zbl 0994.35048Afraimovich, V.; Babin, A.; Chow, S.-N. 1 2001 Center manifolds for smooth invariant manifolds. Zbl 0953.34038Chow, Shui-Nee; Liu, Weishi; Yi, Yingfei 37 2000 Center manifolds for invariant sets. Zbl 0972.34033Chow, Shui-Nee; Liu, Weishi; Yi, Yingfei 34 2000 Theory and application of a nongeneric heteroclinic loop bifurcation. Zbl 0929.34035Chow, Shui-Nee; Deng, Bo; Friedman, Mark J. 1 1999 Traveling waves in lattice dynamical systems. Zbl 0911.34050Chow, Shui-Nee; Mallet-Paret, John; Shen, Wenxian 177 1998 Uniform long-time behavior of solutions of parabolic equations depending on slow time. Zbl 0915.35050Babin, Anatoli V.; Chow, Shui-Nee 1 1998 Synchronization in lattices of coupled oscillators. Zbl 1194.34056Afraimovich, V. S.; Chow, S.-N.; Hale, J. K. 39 1997 Synchronization, stability and normal hyperbolicity. Zbl 1098.34542Chow, Shui-nee; Liu, Weishi 2 1997 Pattern formation and spatial chaos in spatially discrete evolution equations. Zbl 0883.58020Chow, Shui-Nee; Mallet-Paret, John; Van Vleck, Erik S. 74 1996 Dynamics of lattice differential equations. Zbl 1005.39504Chow, Shui-Nee; Mallet-Paret, John; Van Vleck, Erik S. 39 1996 Two definitions of exponential dichotomy for skew-product semiflow in Banach spaces. Zbl 0845.34064Chow, Shui-Nee; Leiva, Hugo 34 1996 Unbounded perturbation of the exponential dichotomy for evolution equations. Zbl 0857.34062Chow, S.-N.; Leiva, H. 32 1996 Spatial chaotic structure of attractors of reaction-diffusion systems. Zbl 0864.35053Afraimovich, V.; Babin, A.; Chow, S.-N. 5 1996 Normal forms for quasiperiodic evolutionary equations. Zbl 0949.34049Chow, Shui-Nee; Lu, Kening; Shen, Yun-Qiu 2 1996 Hyperbolic homoclinic points of \(\mathbb{Z}^ d\)-actions in lattice dynamical systems. Zbl 0874.58064Afraimovich, V. S.; Chow, Shu-Nee; Shen, Wenxian 2 1996 Existence and roughness of the exponential dichotomy for skew-product semiflow in Banach spaces. Zbl 0831.34067Chow, Shui-Nee; Leiva, Hugo 132 1995 Dynamics in a discrete Nagumo equation: Spatial topological chaos. Zbl 0840.34012Chow, Shui-Nee; Shen, Wenxian 58 1995 Spatially discrete nonlinear diffusion equations. Zbl 0833.65095Cahn, John W.; Chow, Shui-Nee; Van Vleck, Erik S. 28 1995 Floquet bundles for scalar parabolic equations. Zbl 0822.35057Chow, Shui-Nee; Lu, Kening; Mallet-Paret, John 18 1995 The Hamiltonian double-zero eigenvalue. Zbl 0840.58018Broer, H. W.; Chow, S.-N.; Kim, Y.-I.; Vegter, G. 12 1995 Aubry-Mather theorem and quasiperiodic orbits for time dependent reversible systems. Zbl 0849.34029Chow, Shui-Nee; Pei, Ming-Liang 9 1995 Dynamical spectrum for skew product flow in Banach spaces. Zbl 0852.58070Chow, S. N.; Leiva, H. 8 1995 Invariant manifolds and foliations for quasiperiodic systems. Zbl 0821.34044Chow, Shui-Nee; Lu, Kening 8 1995 Lorenz type attractors from codimension one bifurcation. Zbl 0839.34064Afraimovich, Valentine; Chow, Shui-Nee; Liu, Weishi 7 1995 Topological spatial chaos and homoclinic points of \(\mathbb{Z} ^ d\)-actions in lattice dynamical systems. Zbl 0847.46040Afraimovich, Valentine S.; Chow, Shui-Nee 6 1995 Stability and bifurcation of traveling wave solutions in coupled map lattices. Zbl 0821.34046Chow, Shui-Nee; Shen, Wenxian 6 1995 Dynamical spectrum for time dependent linear systems in Banach spaces. Zbl 0818.34029Chow, Shui-Nee; Leiva, Hugo 35 1994 Floquet theory for parabolic differential equations. Zbl 0804.35045Chow, Shui-Nee; Lu, Kening; Mallet-Paret, John 19 1994 A shadowing lemma approach to global error analysis for initial value ODEs. Zbl 0818.65068Chow, Shui-Nee; Van Vleck, Erik S. 5 1994 Singular perturbation problems for a system of differential-difference equations. I. Zbl 0814.34068Chow, Shui-Nee; Huang, Wenzhang 5 1994 Existence of evolution operators group for infinite lattice of coupled ordinary differential equation. Zbl 0802.34013Afraimovich, V. S.; Chow, Shui-Nee 4 1994 A free boundary problem related to condensed two-phase combustion. I: Semigroup. Zbl 0812.35162Chow, Shui-Nee; Shen, Wenxian 3 1994 A free boundary problem related to condensed two-phase combustion. II: Stability and bifurcation. Zbl 0812.35163Chow, Shui-Nee; Shen, Wenxian 3 1994 Shadowing of lattice maps. Zbl 0811.58041Chow, Shui-Nee; Van Vleck, Erik S. 1 1994 A normally elliptic Hamiltonian bifurcation. Zbl 0805.58047Broer, H. W.; Chow, S. N.; Kim, Yong-In; Vegter, G. 24 1993 A shadowing lemma for random diffeomorphisms. Zbl 0791.58057Chow, Shui-Nee; Van Vleck, Erik S. 4 1993 Smoothness of inertial manifolds. Zbl 0767.58026Chow, Shui-Nee; Lu, Kening; Sell, George R. 31 1992 From sine waves to square waves in delay equations. Zbl 0764.34048Chow, S.-N.; Hale, J. K.; Huang, W. 18 1992 On the numerical computation of orbits of dynamical systems: The higher dimensional case. Zbl 0769.58040Chow, Shui-Nee; Palmer, Kenneth J. 10 1992 Normal form and linearization for quasiperiodic systems. Zbl 0761.58046Chow, Shui-Nee; Lu, Kening; Shen, Yun-Qiu 7 1992 Geometry of the Melnikov vector. Zbl 0744.58065Chow, Shui-Nee; Yamashita, Masahiro 4 1992 The accuracy of numerically computed orbits of dynamical systems in \(R^ k\). Zbl 0736.34012Chow, Shui-Nee; Palmer, Kenneth J. 1 1992 Transition layers for a singularly perturbed 2-dimensional system of differential-difference equations. Zbl 0763.34046Chow, Shui-Nee; Huang, Wenzhang 1 1992 Smooth invariant foliations in infinite dimensional spaces. Zbl 0749.58043Chow, Shui-Nee; Lin, Xiao-Biao; Lu, Kening 64 1991 The bifurcation of homoclinic orbits from two heteroclinic orbits — A topological approach. Zbl 0758.35043Chow, S.-N.; Deng, B.; Terman, D. 9 1991 On the numerical computation of orbits of dynamical systems: The one- dimensional case. Zbl 0729.34010Chow, Shui-Nee; Palmer, Kenneth J. 6 1991 Homoclinic bifurcation at resonant eigenvalues. Zbl 0703.34050Chow, Shui-Nee; Deng, Bo; Fiedler, Bernold 67 1990 The bifurcation of homoclinic and periodic orbits from two heteroclinic orbits. Zbl 0693.34055Chow, S.-N.; Deng, B.; Terman, D. 22 1990 A shadowing lemma with applications to semilinear parabolic equations. Zbl 0696.34033Chow, Shui-Nee; Lin, Xiao-Biao; Palmer, Kenneth J. 21 1989 Transition layers for singularly perturbed delay differential equations with monotone nonlinearities. Zbl 0684.34071Chow, Shui-Nee; Lin, Xiao-Biao; Mallet-Paret, John 15 1989 Bifurcation of a unique stable periodic orbit from a homoclinic orbit in infinite-dimensional systems. Zbl 0694.35008Chow, Shui-Nee; Deng, Bo 4 1989 A shadowing lemma for maps in infinite dimensions. Zbl 0689.34041Chow, Shui-Nee; Lin, Xiao-Biao; Palmer, Kenneth J. 1 1989 Invariant manifolds for flows in Banach spaces. Zbl 0691.58034Chow, Shui-Nee; Lu, Kening 126 1988 C\({}^ k\) centre unstable manifolds. Zbl 0707.34039Chow, Shui-Nee; Lu, Ke ning 31 1988 Characteristic multipliers and stability of symmetric periodic solutions of \(\dot x(t)=g(x(t-1))\). Zbl 0672.34069Chow, Shui-Nee; Walther, Hans-Otto 24 1988 A bifurcation theorem for critical points of variational problems. Zbl 0659.58007Chow, Shui-Nee; Lauterbach, Reiner 22 1988 Bifurcation of periodic orbits for non-positive definite Hamiltonian systems. Zbl 0689.34035Chow, Shui-Nee; Kim, Yong-In 3 1988 Maximum principle of optimal control for functional differential systems. Zbl 0597.49021Li, X. J.; Chow, S. N. 2 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 1 1987 On the number of critical points of the period. Zbl 0594.34028Chow, S.-N.; Sanders, J. A. 46 1986 Bifurcations of subharmonics. Zbl 0612.34036Chow, S. N.; Shaw, S. W. 12 1986 Abelian integrals and bifurcation theory. Zbl 0587.34033Carr, Jack; Chow, Shui-Nee; Hale, Jack K. 35 1985 Stability, multiplicity and global continuation of symmetric periodic solutions of a nonlinear Volterra integral equation. Zbl 0596.45009Chow, S.-N.; Diekmann, O.; Mallet-Paret, John 15 1985 Generic properties of stationary state solutions of reaction-diffusion equations. Zbl 0544.34019Brunovsky, Pavol; Chow, Shui-Nee 35 1984 The ghost solution of the logistic equation and a singular perturbation problem. Zbl 0628.65058Chow, S. N.; de Jager, E. M.; Lutz, R. 1 1984 A periodic orbit index which is a bifurcation invariant. Zbl 0549.34045Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A. 14 1983 Singularly perturbed delay-differential equations. Zbl 0551.34036Chow, Shui-Nee; Mallet-Paret, John 13 1983 Methods of bifurcation theory. Zbl 0487.47039Chow, Shui-Nee; Hale, Jack K. 397 1982 On the transition from supercritical to subcritical Hopf bifurcations. Zbl 0577.34036Chow, S.-N.; White, R. G. 2 1982 An example of bifurcation to homoclinic orbits. Zbl 0439.34035Chow, Shui-Nee; Hale, Jack K.; Mallet-Paret, John 108 1980 Singular nonlinear equations on an unbounded interval. Zbl 0444.34012Chow, S. N.; Kurtz, J. C. 2 1980 The parameterized obstacle problem. Zbl 0454.49005Chow, Shui-Nee; Mallet-Paret, John 1 1980 A homotopy method for locating all zeros of a system of polynomials. Zbl 0427.65034Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A. 13 1979 Finding zeroes of maps: homotopy methods that are constructive with probability one. Zbl 0398.65029Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A. 108 1978 ...and 25 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 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. 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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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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