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## Verduyn Lunel, Sjoerd M.

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 Author ID: verduyn-lunel.sjoerd-m Published as: Lunel, Sjoerd Verduyn; Verduyn Lunel, S. M.; Verduyn Lunel, Sjoerd; Verduyn Lunel, Sjoerd M.; Verduyn-Lunel, Sjoerd M. External Links: MGP · Wikidata · ResearchGate
 Documents Indexed: 70 Publications since 1985, including 7 Books
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#### Co-Authors

 17 single-authored 10 van Gaans, Onno Ward 8 Hale, Jack Kenneth 6 Chen, Guiling 5 Hupkes, Hermen Jan 5 Nussbaum, Roger David 3 Li, Dingshi 2 Bierkens, Joris 2 Bliek, Alfred 2 Diekmann, Odo 2 Estep, Donald J. 2 Kaashoek, Marinus Adriaan 2 van Noorden, Tycho L. 2 Williams, Roy D. 1 Allaart-Bruin, Sandra 1 Augeraud-Véron, Emmanuelle 1 Bentsman, Joseph 1 Bertsch, Michiel 1 Broer, Henk W. 1 Cohen, Arjeh Marcel 1 Cooke, Kenneth L. 1 de Koning, Hans Peter 1 de Wolff, Babette 1 Dumortier, Freddy 1 Ford, Neville J. 1 Frasson, Miguel V. S. 1 Fusco, Giorgio 1 Lehman, Brad 1 Lemmens, Bas 1 Mallet-Paret, John Joseph 1 Mawhin, Jean L. 1 Muskulus, Michael 1 Peletier, Lambertus Adrianus 1 Priyadarshi, Amit 1 Scheutzow, Michael K. R. 1 Shi, Lin 1 ter Maten, E. Jan W. 1 van de Rotten, B. A. 1 van de Rotten, Bart 1 van Gastel, Leendert J. 1 van Gils, Stephan A. 1 van Leijenhorst, Peter 1 van Strien, Sebastian J. 1 Vanderbauwhede, Andre L. 1 Verriest, Erik I. 1 Walther, Hans-Otto 1 Yakubovich, Dmitry V.
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#### Serials

 8 Journal of Differential Equations 3 Integral Equations and Operator Theory 3 Indagationes Mathematicae. New Series 2 IMA Journal of Applied Mathematics 2 Transactions of the American Mathematical Society 2 Journal of Dynamics and Differential Equations 2 Applied Mathematical Sciences 1 International Journal of Systems Science 1 Journal of Computational Physics 1 Applied Mathematics and Computation 1 IEEE Transactions on Automatic Control 1 Indiana University Mathematics Journal 1 Memoirs of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Statistics & Probability Letters 1 Stochastic Analysis and Applications 1 Physica D 1 IMA Journal of Mathematical Control and Information 1 Applied Mathematics Letters 1 Journal of Integral Equations and Applications 1 Differential and Integral Equations 1 International Journal of Adaptive Control and Signal Processing 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Journal on Scientific Computing 1 Electronic Journal of Differential Equations (EJDE) 1 Selecta Mathematica. New Series 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Communications in Contemporary Mathematics 1 Journal of Evolution Equations 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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#### Fields

 43 Ordinary differential equations (34-XX) 23 Operator theory (47-XX) 10 Partial differential equations (35-XX) 9 Systems theory; control (93-XX) 7 Biology and other natural sciences (92-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Integral equations (45-XX) 6 Numerical analysis (65-XX) 5 Probability theory and stochastic processes (60-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 General and overarching topics; collections (00-XX) 3 Fluid mechanics (76-XX) 2 Difference and functional equations (39-XX) 2 Computer science (68-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

58 Publications have been cited 3,476 times in 3,034 Documents Cited by Year
Introduction to functional differential equations. Zbl 0787.34002
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
1993
Delay equations. Functional-, complex-, and nonlinear analysis. Zbl 0826.34002
Diekmann, Odo; van Gils, Stephan A.; Verduyn Lunel, Sjoerd M.; Walther, Hans-Otto
1995
Strong stabilization of neutral functional differential equations. Zbl 1005.93026
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
2002
An integrability condition on the resolvent for hyperbolicity of the semigroup. Zbl 0834.47036
Kaashoek, M. A.; Verduyn Lunel, Sjoerd M.
1994
Analysis of Newton’s method to compute travelling waves in discrete media. Zbl 1144.34382
Hupkes, H. J.; Verduyn Lunel, S. M.
2005
Stability and control of feedback systems with time delays. Zbl 1052.93028
Hale, J. K.; Verduyn Lunel, S. M.
2003
Averaging in infinite dimensions. Zbl 0755.45012
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
1990
Mixed-type functional differential equations, holomorphic factorization, and applications. Zbl 1120.34048
Mallet-Paret, John; Verduyn Lunel, Sjoerd
2005
Center manifold theory for functional differential equations of mixed type. Zbl 1132.34054
Hupkes, H. J.; Verduyn Lunel, S. M.
2007
Effects of small delays on stability and control. Zbl 0983.34070
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
2001
The effect of rapid oscillations in the dynamics of delay equations. Zbl 0751.34037
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
1991
Vibrational control of nonlinear time lag systems with bounded delay: Averaging theory, stabilizability, and transient behavior. Zbl 0813.93044
Lehman, Brad; Bentsman, Joseph; Verduyn Lunel, Sjoerd M.; Verriest, Erik I.
1994
Large time behaviour of linear functional differential equations. Zbl 1069.34115
Frasson, Miguel V. S.; Verduyn Lunel, Sjoerd M.
2003
Characteristic matrices and spectral properties of evolutionary systems. Zbl 0768.34041
Kaashoek, M. A.; Verduyn Lunel, Sjoerd M.
1992
Center manifolds for periodic functional differential equations of mixed type. Zbl 1157.34052
Hupkes, H. J.; Verduyn Lunel, S. M.
2008
Generalizations of the Perron-Frobenius theorem for nonlinear maps. Zbl 0933.47036
Nussbaum, R. D.; Verduyn Lunel, Sjoerd M.
1999
A functional model approach to linear neutral functional differential equations. Zbl 0891.34077
Verduyn Lunel, Sjoerd M.; Yakubovich, Dmitry V.
1997
Parameter identifiability of differential delay equations. Zbl 0997.93028
Verduyn Lunel, Sjoerd M.
2001
Lin’s method and homoclinic bifurcations for functional differential equations of mixed type. Zbl 1214.34058
Hupkes, H. J.; Verduyn Lunel, S. M.
2009
The closure of the generalised eigenspace of a class of infinitesimal generators. Zbl 0743.47020
Verduyn Lunel, Sjoerd M.
1991
The effect of temperature dependent viscosity on shear flow of incompressible fluids. Zbl 0735.35099
Bertsch, M.; Peletier, L. A.; Verduyn Lunel, Sjoerd M.
1991
Fixed points and $$p$$th moment exponential stability of stochastic delayed recurrent neural networks with impulses. Zbl 1315.34085
Chen, Guiling; van Gaans, Onno; Verduyn Lunel, Sjoerd
2014
About completeness for a class of unbounded operators. Zbl 0831.47013
Verduyn Lunel, Sjoerd M.
1995
A sharp version of Henry’s theorem on small solutions. Zbl 0577.34056
Verduyn Lunel, S. M.
1986
Stability results for stochastic delayed recurrent neural networks with discrete and distributed delays. Zbl 1384.34088
Chen, Guiling; Li, Dingshi; Shi, Lin; van Gaans, Onno; Verduyn Lunel, Sjoerd
2018
Positive operators and Hausdorff dimension of invariant sets. Zbl 1280.37029
Nussbaum, Roger D.; Priyadarshi, Amit; Verduyn Lunel, Sjoerd
2012
Wasserstein distances in the analysis of time series and dynamical systems. Zbl 1214.37054
Muskulus, Michael; Verduyn Lunel, Sjoerd
2011
Periodic points of nonexpansive maps and nonlinear generalizations of the Perron-Frobenius theory. Zbl 0923.47031
Nussbaum, Roger D.; Scheutzow, Michael; Verduyn Lunel, Sjoerd M.
1998
Series expansions for functional differential equations. Zbl 0821.34064
Verduyn Lunel, Sjoerd M.
1995
Small solutions and completeness for linear functional differential equations. Zbl 0763.34053
Verduyn Lunel, Sjoerd M.
1992
Series expansions and small solutions for Volterra equations of convolution type. Zbl 0708.34063
Verduyn Lunel, Sjoerd M.
1990
Center projections for smooth difference equations of mixed type. Zbl 1143.34053
Hupkes, H. J.; Augeraud-Véron, E.; Verduyn Lunel, S. M.
2008
A limited memory Broyden method to solve high-dimensional systems of nonlinear equations. Zbl 1102.65059
van de Rotten, Bart; Verduyn Lunel, Sjoerd
2005
The efficient computation of periodic states of cyclically operated chemical processes. Zbl 1034.92046
van Noorden, T. L.; Verduyn Lunel, S. M.; Bliek, A.
2003
Distributional and small solutions for linear time-dependent delay equations. Zbl 0782.34068
Cooke, K. L.; Verduyn Lunel, Sjoerd M.
1993
Exponential type calculus for linear delay equations. Zbl 0672.34071
Verduyn Lunel, Sjoerd M.
1989
A memory-efficient Broyden method to compute fixed points of non-linear maps arising in periodically forced processes. Zbl 1353.65046
van de Rotten, B. A.; Verduyn Lunel, S. M.
2015
Asymptotic behavior and stability of second order neutral delay differential equations. Zbl 1293.34096
Chen, Guiling; van Gaans, Onno; Verduyn Lunel, Sjoerd
2014
Existence of an invariant measure for stochastic evolutions driven by an eventually compact semigroup. Zbl 1239.60050
Bierkens, Joris; Van Gaans, Onno; Verduyn Lunel, Sjoerd
2009
Long term behavior of dichotomous stochastic differential equations in Hilbert spaces. Zbl 1083.60057
van Gaans, Onno; Verduyn Lunel, Sjoerd
2004
Characterising small solutions in delay differential equations through numerical approximations. Zbl 1030.34059
Ford, Neville J.; Verduyn Lunel, Sjoerd M.
2002
Lower and upper bounds for $$\omega$$-limit sets of nonexpansive maps. Zbl 1011.47037
Lemmens, B.; Nussbaum, R. D.; Verduyn Lunel, S. M.
2001
Analysis of shear layers in a fluid with temperature-dependent viscosity. Zbl 1044.76031
Estep, Donald J.; Verduyn Lunel, Sjoerd M.; Williams, Roy D.
2001
A sharp version of Henry’s theorem on small solutions. Zbl 0556.34068
Verduyn Lunel, S. M.
1985
Stability of nonlinear neutral delay differential equations with variable delays. Zbl 1370.34127
Chen, Guiling; Li, Dingshi; van Gaans, Onno; Lunel, Sjoerd Verduyn
2017
A Broyden rank $$p+1$$ update continuation method with subspace iteration. Zbl 1068.65112
van Noorden, T. L.; Verduyn Lunel, S. M.; Bliek, Alfred
2004
Spectral theory for neutral delay equations with applications to control and stabilization. Zbl 1059.93062
Verduyn Lunel, Sjoerd M.
2003
Spectral theory for delay equations. Zbl 1040.34071
Verduyn-Lunel, Sjoerd M.
2001
A new short proof of an old folk theorem in functional differential equations. Zbl 0780.34051
Diekmann, O.; Verduyn Lunel, Sjoerd M.
1991
Existence and exponential stability of a class of impulsive neutral stochastic partial differential equations with delays and Poisson jumps. Zbl 1395.60069
Chen, Guiling; van Gaans, Onno; Lunel, Sjoerd Verduyn
2018
Estimate on the pathwise Lyapunov exponent of linear stochastic differential equations with constant coefficients. Zbl 1197.93160
Bierkens, Joris; Van Gaans, Onno; Verduyn Lunel, Sjoerd
2010
The formation of shear layers in a fluid with temperature-dependent viscosity. Zbl 1101.76020
Estep, Donald J.; Verduyn Lunel, Sjoerd M.; Williams, Roy D.
2005
Modified extended BDF time-integration methods, applied to circuit equations. Zbl 1170.78382
Allaart-Bruin, Sandra; ter Maten, Jan; Verduyn Lunel, Sjoerd
2004
Asymptotic estimates for the periods of periodic points of non-expansive maps. Zbl 1043.37015
Nussbaum, Roger D.; Verduyn Lunel, Sjoerd M.
2003
Invariant measures for dichotomous stochastic differential equations in Hilbert spaces. Zbl 1002.60052
Van Gaans, Onno; Verduyn Lunel, Sjoerd
2002
Effects of time delays on the dynamics of feedback systems. Zbl 0979.34054
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
2000
Stochastic and spatial structures of dynamical systems. Proceedings of the meeting, Amsterdam, Netherlands, January 1995. Zbl 0969.00057
van Strien, S. J. (ed.); Verduyn Lunel, S. M. (ed.)
1996
Averaging in FDE and PDE. Zbl 0796.34030
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
1991
Stability results for stochastic delayed recurrent neural networks with discrete and distributed delays. Zbl 1384.34088
Chen, Guiling; Li, Dingshi; Shi, Lin; van Gaans, Onno; Verduyn Lunel, Sjoerd
2018
Existence and exponential stability of a class of impulsive neutral stochastic partial differential equations with delays and Poisson jumps. Zbl 1395.60069
Chen, Guiling; van Gaans, Onno; Lunel, Sjoerd Verduyn
2018
Stability of nonlinear neutral delay differential equations with variable delays. Zbl 1370.34127
Chen, Guiling; Li, Dingshi; van Gaans, Onno; Lunel, Sjoerd Verduyn
2017
A memory-efficient Broyden method to compute fixed points of non-linear maps arising in periodically forced processes. Zbl 1353.65046
van de Rotten, B. A.; Verduyn Lunel, S. M.
2015
Fixed points and $$p$$th moment exponential stability of stochastic delayed recurrent neural networks with impulses. Zbl 1315.34085
Chen, Guiling; van Gaans, Onno; Verduyn Lunel, Sjoerd
2014
Asymptotic behavior and stability of second order neutral delay differential equations. Zbl 1293.34096
Chen, Guiling; van Gaans, Onno; Verduyn Lunel, Sjoerd
2014
Positive operators and Hausdorff dimension of invariant sets. Zbl 1280.37029
Nussbaum, Roger D.; Priyadarshi, Amit; Verduyn Lunel, Sjoerd
2012
Wasserstein distances in the analysis of time series and dynamical systems. Zbl 1214.37054
Muskulus, Michael; Verduyn Lunel, Sjoerd
2011
Estimate on the pathwise Lyapunov exponent of linear stochastic differential equations with constant coefficients. Zbl 1197.93160
Bierkens, Joris; Van Gaans, Onno; Verduyn Lunel, Sjoerd
2010
Lin’s method and homoclinic bifurcations for functional differential equations of mixed type. Zbl 1214.34058
Hupkes, H. J.; Verduyn Lunel, S. M.
2009
Existence of an invariant measure for stochastic evolutions driven by an eventually compact semigroup. Zbl 1239.60050
Bierkens, Joris; Van Gaans, Onno; Verduyn Lunel, Sjoerd
2009
Center manifolds for periodic functional differential equations of mixed type. Zbl 1157.34052
Hupkes, H. J.; Verduyn Lunel, S. M.
2008
Center projections for smooth difference equations of mixed type. Zbl 1143.34053
Hupkes, H. J.; Augeraud-Véron, E.; Verduyn Lunel, S. M.
2008
Center manifold theory for functional differential equations of mixed type. Zbl 1132.34054
Hupkes, H. J.; Verduyn Lunel, S. M.
2007
Analysis of Newton’s method to compute travelling waves in discrete media. Zbl 1144.34382
Hupkes, H. J.; Verduyn Lunel, S. M.
2005
Mixed-type functional differential equations, holomorphic factorization, and applications. Zbl 1120.34048
Mallet-Paret, John; Verduyn Lunel, Sjoerd
2005
A limited memory Broyden method to solve high-dimensional systems of nonlinear equations. Zbl 1102.65059
van de Rotten, Bart; Verduyn Lunel, Sjoerd
2005
The formation of shear layers in a fluid with temperature-dependent viscosity. Zbl 1101.76020
Estep, Donald J.; Verduyn Lunel, Sjoerd M.; Williams, Roy D.
2005
Long term behavior of dichotomous stochastic differential equations in Hilbert spaces. Zbl 1083.60057
van Gaans, Onno; Verduyn Lunel, Sjoerd
2004
A Broyden rank $$p+1$$ update continuation method with subspace iteration. Zbl 1068.65112
van Noorden, T. L.; Verduyn Lunel, S. M.; Bliek, Alfred
2004
Modified extended BDF time-integration methods, applied to circuit equations. Zbl 1170.78382
Allaart-Bruin, Sandra; ter Maten, Jan; Verduyn Lunel, Sjoerd
2004
Stability and control of feedback systems with time delays. Zbl 1052.93028
Hale, J. K.; Verduyn Lunel, S. M.
2003
Large time behaviour of linear functional differential equations. Zbl 1069.34115
Frasson, Miguel V. S.; Verduyn Lunel, Sjoerd M.
2003
The efficient computation of periodic states of cyclically operated chemical processes. Zbl 1034.92046
van Noorden, T. L.; Verduyn Lunel, S. M.; Bliek, A.
2003
Spectral theory for neutral delay equations with applications to control and stabilization. Zbl 1059.93062
Verduyn Lunel, Sjoerd M.
2003
Asymptotic estimates for the periods of periodic points of non-expansive maps. Zbl 1043.37015
Nussbaum, Roger D.; Verduyn Lunel, Sjoerd M.
2003
Strong stabilization of neutral functional differential equations. Zbl 1005.93026
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
2002
Characterising small solutions in delay differential equations through numerical approximations. Zbl 1030.34059
Ford, Neville J.; Verduyn Lunel, Sjoerd M.
2002
Invariant measures for dichotomous stochastic differential equations in Hilbert spaces. Zbl 1002.60052
Van Gaans, Onno; Verduyn Lunel, Sjoerd
2002
Effects of small delays on stability and control. Zbl 0983.34070
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
2001
Parameter identifiability of differential delay equations. Zbl 0997.93028
Verduyn Lunel, Sjoerd M.
2001
Lower and upper bounds for $$\omega$$-limit sets of nonexpansive maps. Zbl 1011.47037
Lemmens, B.; Nussbaum, R. D.; Verduyn Lunel, S. M.
2001
Analysis of shear layers in a fluid with temperature-dependent viscosity. Zbl 1044.76031
Estep, Donald J.; Verduyn Lunel, Sjoerd M.; Williams, Roy D.
2001
Spectral theory for delay equations. Zbl 1040.34071
Verduyn-Lunel, Sjoerd M.
2001
Effects of time delays on the dynamics of feedback systems. Zbl 0979.34054
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
2000
Generalizations of the Perron-Frobenius theorem for nonlinear maps. Zbl 0933.47036
Nussbaum, R. D.; Verduyn Lunel, Sjoerd M.
1999
Periodic points of nonexpansive maps and nonlinear generalizations of the Perron-Frobenius theory. Zbl 0923.47031
Nussbaum, Roger D.; Scheutzow, Michael; Verduyn Lunel, Sjoerd M.
1998
A functional model approach to linear neutral functional differential equations. Zbl 0891.34077
Verduyn Lunel, Sjoerd M.; Yakubovich, Dmitry V.
1997
Stochastic and spatial structures of dynamical systems. Proceedings of the meeting, Amsterdam, Netherlands, January 1995. Zbl 0969.00057
van Strien, S. J. (ed.); Verduyn Lunel, S. M. (ed.)
1996
Delay equations. Functional-, complex-, and nonlinear analysis. Zbl 0826.34002
Diekmann, Odo; van Gils, Stephan A.; Verduyn Lunel, Sjoerd M.; Walther, Hans-Otto
1995
About completeness for a class of unbounded operators. Zbl 0831.47013
Verduyn Lunel, Sjoerd M.
1995
Series expansions for functional differential equations. Zbl 0821.34064
Verduyn Lunel, Sjoerd M.
1995
An integrability condition on the resolvent for hyperbolicity of the semigroup. Zbl 0834.47036
Kaashoek, M. A.; Verduyn Lunel, Sjoerd M.
1994
Vibrational control of nonlinear time lag systems with bounded delay: Averaging theory, stabilizability, and transient behavior. Zbl 0813.93044
Lehman, Brad; Bentsman, Joseph; Verduyn Lunel, Sjoerd M.; Verriest, Erik I.
1994
Introduction to functional differential equations. Zbl 0787.34002
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
1993
Distributional and small solutions for linear time-dependent delay equations. Zbl 0782.34068
Cooke, K. L.; Verduyn Lunel, Sjoerd M.
1993
Characteristic matrices and spectral properties of evolutionary systems. Zbl 0768.34041
Kaashoek, M. A.; Verduyn Lunel, Sjoerd M.
1992
Small solutions and completeness for linear functional differential equations. Zbl 0763.34053
Verduyn Lunel, Sjoerd M.
1992
The effect of rapid oscillations in the dynamics of delay equations. Zbl 0751.34037
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
1991
The closure of the generalised eigenspace of a class of infinitesimal generators. Zbl 0743.47020
Verduyn Lunel, Sjoerd M.
1991
The effect of temperature dependent viscosity on shear flow of incompressible fluids. Zbl 0735.35099
Bertsch, M.; Peletier, L. A.; Verduyn Lunel, Sjoerd M.
1991
A new short proof of an old folk theorem in functional differential equations. Zbl 0780.34051
Diekmann, O.; Verduyn Lunel, Sjoerd M.
1991
Averaging in FDE and PDE. Zbl 0796.34030
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
1991
Averaging in infinite dimensions. Zbl 0755.45012
Hale, Jack K.; Verduyn Lunel, Sjoerd M.
1990
Series expansions and small solutions for Volterra equations of convolution type. Zbl 0708.34063
Verduyn Lunel, Sjoerd M.
1990
Exponential type calculus for linear delay equations. Zbl 0672.34071
Verduyn Lunel, Sjoerd M.
1989
A sharp version of Henry’s theorem on small solutions. Zbl 0577.34056
Verduyn Lunel, S. M.
1986
A sharp version of Henry’s theorem on small solutions. Zbl 0556.34068
Verduyn Lunel, S. M.
1985
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#### Cited by 3,458 Authors

 66 Park, Juhyun (Jessie) 34 Liu, Xinzhi 27 Kwon, O. M. 25 Berezansky, Leonid M. 24 Elaiw, Ahmed M. 24 Henríquez, Hernán R. 23 Mao, Xuerong 23 Pepe, Pierdomenico 23 Wu, Jianhong 22 Wei, Junjie 21 Cao, Jinde 21 Diblík, Josef 21 Ezzinbi, Khalil 21 Guo, Shangjiang 21 Huang, Lihong 21 Verduyn Lunel, Sjoerd M. 21 Zhong, Shou-Ming 20 Hernández, Eduardo M. 20 Niculescu, Silviu-Iulian 20 Zhao, Xiao-Qiang 19 Adimy, Mostafa 19 Fridman, Emilia 19 Hupkes, Hermen Jan 19 Walther, Hans-Otto 18 Braverman, Elena 18 Song, Yongli 18 Zou, Xingfu 17 Hartung, Ferenc 17 Liao, Xiaofeng 17 Ma, Wanbiao 17 Michiels, Wim 17 Ruan, Shigui 17 Xu, Rui 16 Han, Qinglong 16 Karafyllis, Iasson 16 Lien, Chang-Hua 16 Rezunenko, Oleksandr V”yacheslavovych 16 Trofimchuk, Sergei I. 15 Benchohra, Mouffak 15 Breda, Dimitri 15 Obaya, Rafael 15 Pham Huu Anh Ngoc 14 Chen, Jenq-Der 14 Ford, Neville J. 14 Foryś, Urszula 14 Gu, Keqin 14 Hu, Guangda 13 Caraballo Garrido, Tomás 13 Diekmann, Odo 13 Hattaf, Khalid 13 Jiang, Weihua 13 Li, Xiaodi 13 Liu, Bingwen 13 Shi, Peng 12 Balasubramaniam, Pagavathigounder 12 Faria, Teresa 12 Jiang, Zhong-Ping 11 Krisztin, Tibor 11 Liu, Shengqiang 11 Nussbaum, Roger David 11 Shu, Hongying 11 van Gaans, Onno Ward 11 Wu, Fuke 11 Yousfi, Noura 10 Bodnar, Marek 10 Crauste, Fabien 10 Cuevas, Claudio 10 Idels, Lev V. 10 Ivanov, Anatoli F. 10 Kloeden, Peter Eris 10 Lam, James 10 Melchor-Aguilar, Daniel 10 Mondié, Sabine 10 Niu, Ben 10 Philos, Christos G. 10 Rakkiyappan, Rajan 10 Röst, Gergely 10 Song, Xinyu 10 Vermiglio, Rossana 10 Vũ Ngoc Phát 10 Wang, Lin 10 Yu, Ker-Wei 10 Yuan, Rong 9 Agarwal, Ravi P. 9 Augeraud-Véron, Emmanuelle 9 Chen, Yuming 9 Chepyzhov, Vladimir V. 9 Gil’, Michael Iosif 9 Han, Maoan 9 Hernández Morales, Eduardo 9 Li, Michael Yi 9 Liu, Zhihua 9 Lumb, Patricia M. 9 Magal, Pierre 9 Nakata, Yukihiko 9 Olgac, Nejat M. 9 Purnaras, Ioannis K. 9 Sanz, Ana M. 9 Sipahi, Rifat 9 Stamova, Ivanka Milkova ...and 3,358 more Authors
all top 5

#### Cited in 322 Serials

 174 Journal of Mathematical Analysis and Applications 168 Applied Mathematics and Computation 150 Journal of Differential Equations 129 Automatica 119 Chaos, Solitons and Fractals 100 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 86 Nonlinear Analysis. Real World Applications 71 Journal of the Franklin Institute 70 Journal of Computational and Applied Mathematics 60 Journal of Dynamics and Differential Equations 60 Nonlinear Dynamics 59 Systems & Control Letters 58 International Journal of Robust and Nonlinear Control 55 Advances in Difference Equations 54 Applied Mathematics Letters 45 Computers & Mathematics with Applications 45 Applied Mathematical Modelling 45 Abstract and Applied Analysis 44 Discrete and Continuous Dynamical Systems. Series B 42 Physica D 36 Communications in Nonlinear Science and Numerical Simulation 35 Mathematical and Computer Modelling 34 Mathematical Problems in Engineering 29 Journal of Mathematical Biology 26 Physics Letters. A 25 Mathematical Methods in the Applied Sciences 23 Discrete Dynamics in Nature and Society 21 Mathematical Biosciences 21 Journal of Optimization Theory and Applications 19 Bulletin of Mathematical Biology 19 Kybernetika 19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 19 European Journal of Control 19 International Journal of Biomathematics 18 Discrete and Continuous Dynamical Systems 17 Applied Numerical Mathematics 17 Journal of Applied Mathematics and Computing 17 Mathematical Biosciences and Engineering 17 Journal of Biological Dynamics 17 Nonlinear Analysis. Hybrid Systems 16 International Journal of Control 16 Asian Journal of Control 15 SIAM Journal on Control and Optimization 13 Integral Equations and Operator Theory 13 Stochastic Analysis and Applications 13 Chaos 13 Journal of Applied Mathematics 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 SIAM Journal on Applied Dynamical Systems 13 Nonlinear Analysis. Theory, Methods & Applications 12 International Journal of Systems Science 12 Proceedings of the American Mathematical Society 12 Transactions of the American Mathematical Society 12 Journal of Mathematical Sciences (New York) 12 Differential Equations and Dynamical Systems 11 Journal of Difference Equations and Applications 11 Communications on Pure and Applied Analysis 10 Journal of Mathematical Economics 10 Mathematics and Computers in Simulation 10 Optimal Control Applications & Methods 9 Information Sciences 9 Journal of Integral Equations and Applications 9 SIAM Journal on Mathematical Analysis 9 Journal of Nonlinear Science 9 Complexity 9 Mediterranean Journal of Mathematics 9 Discrete and Continuous Dynamical Systems. Series S 8 BIT 8 International Journal of Adaptive Control and Signal Processing 7 Numerical Functional Analysis and Optimization 7 Circuits, Systems, and Signal Processing 7 Linear Algebra and its Applications 7 SIAM Journal on Applied Mathematics 7 Nonlinear Analysis. Modelling and Control 7 Journal of Evolution Equations 7 Journal of Theoretical Biology 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Journal of Functional Analysis 6 Acta Applicandae Mathematicae 6 MCSS. Mathematics of Control, Signals, and Systems 6 International Journal of Computer Mathematics 6 Stochastic Processes and their Applications 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 6 Journal of Dynamical and Control Systems 6 Journal of Control Theory and Applications 6 Boundary Value Problems 6 Journal of Fixed Point Theory and Applications 6 Journal of Nonlinear Science and Applications 5 Applicable Analysis 5 Journal of Computational Physics 5 Journal of Engineering Mathematics 5 Journal of Statistical Physics 5 Rocky Mountain Journal of Mathematics 5 Applied Mathematics and Optimization 5 Fuzzy Sets and Systems 5 Numerische Mathematik 5 Quarterly of Applied Mathematics 5 Computational and Applied Mathematics 5 Acta Mathematica Sinica. English Series ...and 222 more Serials
all top 5

#### Cited in 50 Fields

 1,907 Ordinary differential equations (34-XX) 827 Systems theory; control (93-XX) 804 Biology and other natural sciences (92-XX) 372 Partial differential equations (35-XX) 336 Dynamical systems and ergodic theory (37-XX) 238 Numerical analysis (65-XX) 224 Operator theory (47-XX) 153 Probability theory and stochastic processes (60-XX) 98 Integral equations (45-XX) 73 Difference and functional equations (39-XX) 55 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 50 Operations research, mathematical programming (90-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 38 Mechanics of particles and systems (70-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 32 Computer science (68-XX) 26 Fluid mechanics (76-XX) 20 Real functions (26-XX) 20 Mechanics of deformable solids (74-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Functional analysis (46-XX) 14 Global analysis, analysis on manifolds (58-XX) 12 Combinatorics (05-XX) 12 Statistics (62-XX) 11 Optics, electromagnetic theory (78-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Information and communication theory, circuits (94-XX) 7 Abstract harmonic analysis (43-XX) 6 Measure and integration (28-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 History and biography (01-XX) 5 Approximations and expansions (41-XX) 4 General and overarching topics; collections (00-XX) 4 Functions of a complex variable (30-XX) 4 Differential geometry (53-XX) 3 Number theory (11-XX) 3 Special functions (33-XX) 2 Topological groups, Lie groups (22-XX) 2 Integral transforms, operational calculus (44-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) 1

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