Edit Profile Engelborghs, Koen Compute Distance To: Compute Author ID: engelborghs.koen Published as: Engelborghs, K.; Engelborghs, Koen Documents Indexed: 29 Publications since 1997 all top 5 Co-Authors 0 single-authored 22 Roose, Dirk 14 Luzyanina, Tatyana 3 Green, Kirk 3 Krauskopf, Bernd 3 Michiels, Wim 2 Doedel, Eusebius J. 2 Lust, Kurt 1 Bär, Markus 1 Bélair, Jacques 1 Bocharov, Gennady A. 1 Dambrine, Michel 1 Dochain, Denis 1 Ehl, Stephan 1 in ’t Hout, Karel J. 1 Kevrekidis, Ioannis George 1 Klenerman, Paul 1 Krishnan, Jeyashree 1 Lemaire, Vincent 1 Lust, K. W. A. 1 Samaey, Giovanni 1 Vansevenant, P. all top 5 Serials 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Physica D 2 Numerical Algorithms 1 IMA Journal of Numerical Analysis 1 Journal of Computational Physics 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 ACM Transactions on Mathematical Software 1 Automatica 1 IEEE Transactions on Automatic Control 1 Journal of Computational and Applied Mathematics 1 Numerische Mathematik 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Applied Numerical Mathematics 1 Dynamics and Stability of Systems 1 SIAM Journal on Scientific Computing 1 Advances in Computational Mathematics 1 Journal of Difference Equations and Applications all top 5 Fields 23 Ordinary differential equations (34-XX) 20 Numerical analysis (65-XX) 6 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Partial differential equations (35-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 29 Publications have been cited 499 times in 362 Documents Cited by ▼ Year ▼ Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL. Zbl 1070.65556Engelborghs, K.; Luzyanina, T.; Roose, D. 149 2002 Collocation methods for the computation of periodic solutions of delay differential equations. Zbl 0981.65082Engelborghs, K.; Luzyanina, T.; in ’t Hout, K. J.; Roose, D. 38 2000 Continuous pole placement for delay equations. Zbl 1034.93026Michiels, W.; Engelborghs, K.; Vansevenant, P.; Roose, D. 36 2002 Limitations of a class of stabilization methods for delay systems. Zbl 1056.93607Engelborghs, K.; Dambrine, M.; Roose, D. 32 2001 On stability of LMS methods and characteristic roots of delay differential equations. Zbl 1021.65040Engelborghs, K.; Roose, D. 29 2002 Computation, continuation and bifurcation analysis of periodic solutions of delay differential equations. Zbl 0910.34057Luzyanina, Tatyana; Engelborghs, Koen; Lust, Kurt; Roose, Dirk 24 1997 Numerical bifurcation analysis of delay differential equations. Zbl 0970.65090Engelborghs, Koen; Luzyanina, Tatyana; Roose, Dirk 21 2000 Numerical bifurcation analysis of delay differential equations arising from physiological modeling. Zbl 0983.65136Engelborghs, K.; Lemaire, V.; Bélair, J.; Roose, D. 19 2001 Numerical computation of stability and detection of Hopf bifurcations of steady state solutions of delay differential equations. Zbl 0929.65054Engelborghs, Koen; Roose, Dirk 18 1999 Computing stability of differential equations with bounded distributed delays. Zbl 1041.65110Luzyanina, T.; Engelborghs, K.; Roose, D. 17 2003 Stability of piecewise polynomial collocation for computing periodic solutions of delay differential equations. Zbl 1002.65089Engelborghs, K.; Doedel, E. J. 16 2002 Sensitivity to infinitesimal delays in neutral equations. Zbl 1016.34079Michiels, W.; Engelborghs, K.; Roose, D.; Dochain, D. 14 2001 Computing Floquet multipliers for functional differential equations. Zbl 1048.65126Luzyanina, Tatyana; Engelborghs, Koen 13 2002 Numerical bifurcation analysis of differential equations with state-dependent delay. Zbl 1090.65551Luzyanina, Tatyana; Engelborghs, Koen; Roose, Dirk 10 2001 Bifurcation analysis of periodic solutions to neutral functional differential equations: A case study. Zbl 0941.34070Engelborghs, Koen; Roose, Dirk; Luzyanina, Tatyana 10 1998 Low level viral persistence after infection with LCMV: A quantitative insight through numerical bifurcation analysis. Zbl 0988.92014Luzyanina, Tatyana; Engelborghs, Koen; Ehl, Stephan; Klenerman, Paul; Bocharov, Gennady 8 2001 Bistability and torus break-up in a semiconductor laser with phase-conjugate feedback. Zbl 1023.34064Green, Kirk; Krauskopf, Bernd; Engelborghs, Koen 7 2002 Numerical computation of connecting orbits in delay differential equations. Zbl 1008.65096Samaey, Giovanni; Engelborghs, Koen; Roose, Dirk 6 2002 Some collocation results on computing periodic solutions of delay differential equations. Zbl 0965.65099Luzyanina, T.; Engelborghs, K.; Roose, D. 6 2000 Convergence of a boundary value difference equation for computing periodic solutions of neutral delay differential equations. Zbl 0998.65074Engelborghs, K.; Doedel, E. J. 5 2001 One-dimensional unstable eigenfunction and manifold computations in delay differential equations. Zbl 1052.65115Green, Kirk; Krauskopf, Bernd; Engelborghs, Koen 4 2004 On numerical methods for bifurcation analysis of delay differential equations. Zbl 0963.65080Engelborghs, K.; Luzyanina, T.; Roose, D. 3 2000 Direct computation of period doubling bifurcation points of large-scale systems of ODEs using a Newton-Picard method. Zbl 0944.65133Engelborghs, K.; Lust, K.; Roose, D. 3 1999 Smoothness loss of periodic solutions of a neutral functional differential equation: On a bifurcation of the essential spectrum. Zbl 0936.34057Engelborghs, Koen; Roose, Dirk 3 1999 Software for stability and bifurcation analysis of delay differential equations and applications to stabilization. Zbl 1065.34077Roose, Dirk; Luzyanina, Tatyana; Engelborghs, Koen; Michiels, Wim 2 2004 Numerical stability analysis of steady state solutions of integral equations with distributed delays. Zbl 1052.65119Luzyanina, T.; Roose, D.; Engelborghs, K. 2 2004 DDE-BIFTOOL, software for bifurcation analysis of delay differential equations: Functionality and applications. Zbl 1024.65509Engelborghs, K.; Luzyanina, T.; Roose, D. 2 2002 From local to global one-dimensional unstable manifolds in delay differential equations. Zbl 1106.34333Krauskopf, B.; Green, K.; Engelborghs, K. 1 2005 A computer-assisted study of pulse dynamics in anisotropic media. Zbl 0997.35032Krishnan, J.; Engelborghs, K.; Bär, M.; Lust, K.; Roose, D.; Kevrekidis, I. G. 1 2001 From local to global one-dimensional unstable manifolds in delay differential equations. Zbl 1106.34333Krauskopf, B.; Green, K.; Engelborghs, K. 1 2005 One-dimensional unstable eigenfunction and manifold computations in delay differential equations. Zbl 1052.65115Green, Kirk; Krauskopf, Bernd; Engelborghs, Koen 4 2004 Software for stability and bifurcation analysis of delay differential equations and applications to stabilization. Zbl 1065.34077Roose, Dirk; Luzyanina, Tatyana; Engelborghs, Koen; Michiels, Wim 2 2004 Numerical stability analysis of steady state solutions of integral equations with distributed delays. Zbl 1052.65119Luzyanina, T.; Roose, D.; Engelborghs, K. 2 2004 Computing stability of differential equations with bounded distributed delays. Zbl 1041.65110Luzyanina, T.; Engelborghs, K.; Roose, D. 17 2003 Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL. Zbl 1070.65556Engelborghs, K.; Luzyanina, T.; Roose, D. 149 2002 Continuous pole placement for delay equations. Zbl 1034.93026Michiels, W.; Engelborghs, K.; Vansevenant, P.; Roose, D. 36 2002 On stability of LMS methods and characteristic roots of delay differential equations. Zbl 1021.65040Engelborghs, K.; Roose, D. 29 2002 Stability of piecewise polynomial collocation for computing periodic solutions of delay differential equations. Zbl 1002.65089Engelborghs, K.; Doedel, E. J. 16 2002 Computing Floquet multipliers for functional differential equations. Zbl 1048.65126Luzyanina, Tatyana; Engelborghs, Koen 13 2002 Bistability and torus break-up in a semiconductor laser with phase-conjugate feedback. Zbl 1023.34064Green, Kirk; Krauskopf, Bernd; Engelborghs, Koen 7 2002 Numerical computation of connecting orbits in delay differential equations. Zbl 1008.65096Samaey, Giovanni; Engelborghs, Koen; Roose, Dirk 6 2002 DDE-BIFTOOL, software for bifurcation analysis of delay differential equations: Functionality and applications. Zbl 1024.65509Engelborghs, K.; Luzyanina, T.; Roose, D. 2 2002 Limitations of a class of stabilization methods for delay systems. Zbl 1056.93607Engelborghs, K.; Dambrine, M.; Roose, D. 32 2001 Numerical bifurcation analysis of delay differential equations arising from physiological modeling. Zbl 0983.65136Engelborghs, K.; Lemaire, V.; Bélair, J.; Roose, D. 19 2001 Sensitivity to infinitesimal delays in neutral equations. Zbl 1016.34079Michiels, W.; Engelborghs, K.; Roose, D.; Dochain, D. 14 2001 Numerical bifurcation analysis of differential equations with state-dependent delay. Zbl 1090.65551Luzyanina, Tatyana; Engelborghs, Koen; Roose, Dirk 10 2001 Low level viral persistence after infection with LCMV: A quantitative insight through numerical bifurcation analysis. Zbl 0988.92014Luzyanina, Tatyana; Engelborghs, Koen; Ehl, Stephan; Klenerman, Paul; Bocharov, Gennady 8 2001 Convergence of a boundary value difference equation for computing periodic solutions of neutral delay differential equations. Zbl 0998.65074Engelborghs, K.; Doedel, E. J. 5 2001 A computer-assisted study of pulse dynamics in anisotropic media. Zbl 0997.35032Krishnan, J.; Engelborghs, K.; Bär, M.; Lust, K.; Roose, D.; Kevrekidis, I. G. 1 2001 Collocation methods for the computation of periodic solutions of delay differential equations. Zbl 0981.65082Engelborghs, K.; Luzyanina, T.; in ’t Hout, K. J.; Roose, D. 38 2000 Numerical bifurcation analysis of delay differential equations. Zbl 0970.65090Engelborghs, Koen; Luzyanina, Tatyana; Roose, Dirk 21 2000 Some collocation results on computing periodic solutions of delay differential equations. Zbl 0965.65099Luzyanina, T.; Engelborghs, K.; Roose, D. 6 2000 On numerical methods for bifurcation analysis of delay differential equations. Zbl 0963.65080Engelborghs, K.; Luzyanina, T.; Roose, D. 3 2000 Numerical computation of stability and detection of Hopf bifurcations of steady state solutions of delay differential equations. Zbl 0929.65054Engelborghs, Koen; Roose, Dirk 18 1999 Direct computation of period doubling bifurcation points of large-scale systems of ODEs using a Newton-Picard method. Zbl 0944.65133Engelborghs, K.; Lust, K.; Roose, D. 3 1999 Smoothness loss of periodic solutions of a neutral functional differential equation: On a bifurcation of the essential spectrum. Zbl 0936.34057Engelborghs, Koen; Roose, Dirk 3 1999 Bifurcation analysis of periodic solutions to neutral functional differential equations: A case study. Zbl 0941.34070Engelborghs, Koen; Roose, Dirk; Luzyanina, Tatyana 10 1998 Computation, continuation and bifurcation analysis of periodic solutions of delay differential equations. Zbl 0910.34057Luzyanina, Tatyana; Engelborghs, Koen; Lust, Kurt; Roose, Dirk 24 1997 all cited Publications top 5 cited Publications all top 5 Cited by 662 Authors 17 Michiels, Wim 13 Niculescu, Silviu-Iulian 12 Breda, Dimitri 12 Roose, Dirk 11 Engelborghs, Koen 11 Krauskopf, Bernd 9 Luzyanina, Tatyana 7 Green, Kirk 7 Maset, Stefano 6 Kharitonov, Vladimir Leonidovich 6 Olgac, Nejat M. 5 Bocharov, Gennady A. 5 Ford, Neville J. 5 Vermiglio, Rossana 5 Wei, Junjie 4 Butcher, Eric A. 4 Hu, Guangda 4 Insperger, Tamás 4 Khasawneh, Firas A. 4 Laing, Carlo R. 4 Mann, Brian P. 4 Mondié, Sabine 4 Niu, Ben 4 Shu, Hongying 4 Stépán, Gábor 4 Velasco-Villa, Martín 4 Xu, Jian 4 Zhang, Chengjian 3 Angelova, Maia N. 3 Barton, David A. W. 3 Boussaada, Islam 3 Burić, Nikola I. 3 Cong, Yuhao 3 De Cesare, Luigi 3 Erneux, Thomas 3 Fenzi, Luca 3 Gao, Qingbin 3 Gilsinn, David E. 3 Grebennikov, Dmitry S. 3 Guo, Yuxiao 3 Humphries, Antony R. 3 Janssens, Sebastiaan G. 3 Kevrekidis, Ioannis George 3 Khristichenko, Michael Yu. 3 Kuang, Yang 3 Kuznetsov, Yuri Alexandrovich 3 Li, Jiaxu 3 Licandro, Omar 3 Melchor-Aguilar, Daniel 3 Nechepurenko, Yuri M. 3 Orosz, Gábor 3 Pei, Lijun 3 Schöll, Eckehard 3 Sipahi, Rifat 3 Sportelli, Mario C. 3 Su, Huan 3 van Gils, Stephan A. 3 Vandewalle, Stefan G. 3 Vasović, Nebojša T. 3 Verheyden, Koen 3 Visser, Sid 3 Vyhlídal, Tomáš 3 Wagenknecht, Thomas 3 Wilson, Richard Eddie 3 Wu, Jianhong 3 Yi, Lijun 2 Alvarez-Ramirez, Jose 2 Andò, Alessia 2 Baker, Christopher T. H. 2 Bambi, Mauro 2 Boucekkine, Raouf 2 Bridgewater, Adam 2 Calleja, Renato C. 2 Cao, Jianzhi 2 Cela, Arben 2 Cepeda-Gomez, Rudy 2 Chen, Jianqi 2 Chong, Ket Hing 2 Chung, Kwok-Wai 2 Cochelin, Bruno 2 Coombes, Stephen 2 De Gaetano, Andrea 2 Del-Muro-Cuellar, Basilio 2 Ding, Xiaohua 2 Ding, Zhengtao 2 Dombovari, Zoltan 2 Fiagbedzi, Yawvi A. 2 Furtat, Igor B. 2 Gaudette, Darrell L. 2 Gozzi, Fausto 2 Guillot, Louis 2 Guo, Zhongjin 2 Hao, Pengmiao 2 Hizanidis, Johanne 2 Hu, Haiyan 2 Huang, Chengming 2 Huard, Benoit 2 Juniper, Matthew P. 2 Kalmár-Nagy, Tamás 2 Keane, Andrew ...and 562 more Authors all top 5 Cited in 105 Serials 23 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 22 Automatica 18 Journal of Computational and Applied Mathematics 14 Applied Mathematics and Computation 14 Nonlinear Dynamics 12 Chaos 10 Physica D 10 SIAM Journal on Applied Dynamical Systems 9 Journal of Mathematical Biology 9 Systems & Control Letters 9 Applied Numerical Mathematics 7 International Journal of Control 7 Mathematical Biosciences 7 Chaos, Solitons and Fractals 7 Communications in Nonlinear Science and Numerical Simulation 6 Biological Cybernetics 6 Mathematical Problems in Engineering 6 Journal of Theoretical Biology 5 Journal of the Franklin Institute 5 International Journal of Robust and Nonlinear Control 5 Journal of Biological Dynamics 4 SIAM Journal on Control and Optimization 4 SIAM Journal on Numerical Analysis 4 Automation and Remote Control 3 Computers & Mathematics with Applications 3 Journal of Fluid Mechanics 3 Bulletin of Mathematical Biology 3 Journal of Differential Equations 3 Journal of Economic Theory 3 Numerische Mathematik 3 Neural Networks 3 Applied Mathematical Modelling 3 International Journal of Computer Mathematics 3 Linear Algebra and its Applications 3 Journal of Nonlinear Science 3 Journal of Vibration and Control 3 Nonlinear Analysis. Real World Applications 3 Dynamical Systems 3 Discrete and Continuous Dynamical Systems. Series B 3 Advances in Difference Equations 3 The Journal of Mathematical Neuroscience 3 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 International Journal of Systems Science 2 Journal of Computational Physics 2 Mathematical Methods in the Applied Sciences 2 Kybernetika 2 SIAM Journal on Matrix Analysis and Applications 2 Numerical Algorithms 2 Computational and Applied Mathematics 2 Complexity 2 European Journal of Control 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Discrete Dynamics in Nature and Society 2 Frontiers of Mathematics in China 2 Journal of Physics A: Mathematical and Theoretical 2 Discrete and Continuous Dynamical Systems. Series S 1 Acta Mechanica 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Physica A 1 Physics Letters. A 1 BIT 1 International Journal for Numerical Methods in Engineering 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Mathematical and Computer Modelling 1 Dynamics and Stability of Systems 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Scientific Computing 1 Journal of Integral Equations and Applications 1 Journal of Dynamics and Differential Equations 1 International Applied Mechanics 1 Physics of Fluids 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Economic Theory 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Advances in Computational Mathematics 1 Journal of Difference Equations and Applications 1 ELA. The Electronic Journal of Linear Algebra 1 Mathematical Population Studies 1 Differential Equations and Dynamical Systems 1 European Journal of Mechanics. A. Solids 1 Differential Equations 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Quantum Information Processing 1 Mathematical Biosciences and Engineering 1 Nonlinear Analysis. Hybrid Systems 1 International Journal of Differential Equations 1 Science China. Technological Sciences 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Afrika Matematika 1 Numerical Algebra, Control and Optimization 1 ISRN Applied Mathematics 1 Journal of Computational Dynamics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Journal of Linear and Topological Algebra ...and 5 more Serials all top 5 Cited in 28 Fields 180 Ordinary differential equations (34-XX) 113 Systems theory; control (93-XX) 93 Numerical analysis (65-XX) 87 Biology and other natural sciences (92-XX) 74 Dynamical systems and ergodic theory (37-XX) 14 Partial differential equations (35-XX) 14 Mechanics of particles and systems (70-XX) 11 Integral equations (45-XX) 11 Operations research, mathematical programming (90-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Fluid mechanics (76-XX) 7 Mechanics of deformable solids (74-XX) 7 Optics, electromagnetic theory (78-XX) 5 Difference and functional equations (39-XX) 5 Operator theory (47-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Computer science (68-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Functions of a complex variable (30-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) Citations by Year