Edit Profile (opens in new tab) Meijer, Hil G. E. Compute Distance To: Compute Author ID: meijer.hil-g-e Published as: Meijer, H. G. E.; Meijer, Hil G. E. External Links: MGP Documents Indexed: 28 Publications since 1996, including 1 Book Co-Authors: 41 Co-Authors with 25 Joint Publications 519 Co-Co-Authors all top 5 Co-Authors 3 single-authored 14 Kuznetsov, Yuri Alexandrovich 8 Govaerts, Willy J. F. 4 van Gils, Stephan A. 3 Al-Hdaibat, Bashir 2 Sautois, B. 1 Bakri, Taoufik 1 Buitenweg, Jan R. 1 Bulelzai, M. A. K. 1 Coombes, Stephen 1 Cowan, Jack D. 1 Dhooge, Annick 1 Doelman, Arjen 1 Doll, Robert J. 1 Dubbeldam, Johan L. A. 1 Eissa, Tahra L. 1 Emerson, Ronald G. 1 Eskandari, Zohreh 1 Gonchenko, V. S. 1 Goodman, Robert R. 1 Hebbink, Jurgen 1 Kalia, Manu 1 Kalmár-Nagy, Tamás 1 Kiewiet, Bert 1 Marcuccilli, Charles J. 1 Mazrooei-Sebdani, Reza 1 McKhann, Guy M. 1 Neirynck, Niels 1 Neuman, Jeremy F. 1 Pusuluri, Krishna 1 Rottschäfer, Vivi 1 Schevon, Catherine A. 1 Sewalt, Lotte 1 Shilnikov, Andrey L. 1 Tryba, Andrew K. 1 Van Drongelen, Wim 1 van Putten, Michel J. A. M. 1 van Veen, Lennaert 1 Verhulst, Ferdinand 1 Visser, Sid 1 Yang, Huan 1 Zagaris, Antonios all top 5 Serials 3 Physica D 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Journal of Difference Equations and Applications 2 SIAM Journal on Scientific Computing 2 Communications in Nonlinear Science and Numerical Simulation 2 SIAM Journal on Applied Dynamical Systems 2 The Journal of Mathematical Neuroscience 1 Biological Cybernetics 1 Journal of Mathematical Biology 1 Nonlinearity 1 ACM Transactions on Mathematical Software 1 Journal of Approximation Theory 1 Nieuw Archief voor Wiskunde. Vierde Serie 1 Journal of Nonlinear Science 1 Differential Equations and Dynamical Systems 1 Mathematical and Computer Modelling of Dynamical Systems 1 Cambridge Monographs on Applied and Computational Mathematics all top 5 Fields 17 Dynamical systems and ergodic theory (37-XX) 10 Ordinary differential equations (34-XX) 10 Numerical analysis (65-XX) 7 Biology and other natural sciences (92-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 2 Difference and functional equations (39-XX) 1 History and biography (01-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 322 times in 257 Documents Cited by ▼ Year ▼ New features of the software MatCont for bifurcation analysis of dynamical systems. Zbl 1158.34302Dhooge, A.; Govaerts, W.; Kuznetsov, Yu. A.; Meijer, H. G. E.; Sautois, B. 121 2008 Determination of all coherent pairs. Zbl 0880.42012Meijer, H. G. 63 1997 Numerical methods for two-parameter local bifurcation analysis of maps. Zbl 1155.65397Govaerts, W.; Ghaziani, R. Khoshsiar; Kuznetsov, Yu. A.; Meijer, H. G. E. 32 2007 The fold-flip bifurcation. Zbl 1077.37515Kuznetsov, Yu. A.; Meijer, H. G. E.; van Veen, L. 31 2004 A short history of orthogonal polynomials in a Sobolev space. I: The non-discrete case. Zbl 0862.33001Meijer, H. G. 26 1996 Numerical normal forms for codim 2 bifurcations of fixed points with at most two critical eigenvalues. Zbl 1080.37056Kuznetsov, Yu. A.; Meijer, H. G. E. 24 2005 Generalized Hénon map and bifurcations of homoclinic tangencies. Zbl 1090.37036Gonchenko, V. S.; Kuznetsov, Yu. A.; Meijer, H. G. E. 18 2005 Remarks on interacting Neimark–Sacker bifurcations. Zbl 1108.37038Kuznetsov, Yu. A.; Meijer, H. G. E. 15 2006 Improved homoclinic predictor for Bogdanov-Takens bifurcation. Zbl 1296.34098Kuznetsov, Yu. A.; Meijer, H. G. E.; Al Hdaibat, B.; Govaerts, W. 11 2014 Initialization of homoclinic solutions near Bogdanov-Takens points: Lindstedt-Poincaré compared with regular perturbation method. Zbl 1343.34104Al-Hdaibat, B.; Govaerts, W.; Kuznetsov, Yu. A.; Meijer, H. G. E. 10 2016 Numerical continuation of connecting orbits of maps in MATLAB. Zbl 1171.65093Ghaziani, R. Khoshsiar; Govaerts, W.; Kuznetsov, Yu. A.; Meijer, H. G. E. 9 2009 Numerical bifurcation analysis of maps. From theory to software. Zbl 1425.37002Kuznetsov, Yuri A.; Meijer, Hil G. E. 9 2019 Accurate approximation of homoclinic solutions in Gray-Scott kinetic model. Zbl 1325.34063Kuznetsov, Yu. A.; Meijer, H. G. E.; Al-Hdaibat, B.; Govaerts, W. 7 2015 Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs. Zbl 1164.37015Kuznetsov, Yu. A.; Meijer, H. G. E.; Govaerts, W.; Sautois, B. 7 2008 Tracking pattern evolution through extended center manifold reduction and singular perturbations. Zbl 1364.35040Sewalt, L.; Doelman, A.; Meijer, H. G. E.; Rottschäfer, V.; Zagaris, A. 5 2015 Modeling focal epileptic activity in the Wilson-cowan model with depolarization block. Zbl 1357.92013Meijer, Hil G. E.; Eissa, Tahra L.; Kiewiet, Bert; Neuman, Jeremy F.; Schevon, Catherine A.; Emerson, Ronald G.; Goodman, Robert R.; McKhann, Guy M.; Marcuccilli, Charles J.; Tryba, Andrew K.; Cowan, Jack D.; van Gils, Stephan A.; van Drongelen, Wim 5 2015 Travelling waves in a neural field model with refractoriness. Zbl 1345.92044Meijer, Hil G. E.; Coombes, Stephen 4 2014 (INVITED) Homoclinic puzzles and chaos in a nonlinear laser model. Zbl 1466.78019Pusuluri, Krishna; Meijer, H. G. E.; Shilnikov, A. L. 3 2021 The Hopf-van der Pol system: failure of a homotopy method. Zbl 1256.34009Meijer, H. G. E.; Kalmár-Nagy, T. 3 2012 Analysis of stability and bifurcations of fixed points and periodic solutions of a lumped model of neocortex with two delays. Zbl 1291.92051Visser, Sid; Meijer, Hil G. E.; van Putten, Michel J. A. M.; van Gils, Stephan A. 3 2012 On analysis of inputs triggering large nonlinear neural responses slow-fast dynamics in the wendling neural mass model. Zbl 1451.92017Hebbink, Jurgen; van Gils, Stephan A.; Meijer, Hil G. E. 1 2020 Bifurcation analysis of a model for atherosclerotic plaque evolution. Zbl 1349.92072Bulelzai, M. A. K.; Dubbeldam, J. L. A.; Meijer, H. G. E. 1 2014 Homoclinic saddle to saddle-focus transitions in 4D systems. Zbl 1422.34142Kalia, Manu; Kuznetsov, Yuri A.; Meijer, Hil G. E. 1 2019 Numerical bifurcation analysis of homoclinic orbits embedded in one-dimensional manifolds of maps. Zbl 1484.65332Neirynck, Niels; Govaerts, Willy; Kuznetsov, Yuri A.; Meijer, Hil G. E. 1 2018 Numerical bifurcation analysis of double \(+1\) multiplier in \(\mathbb Z_3\)-symmetric maps. Zbl 1398.37089Mazrooei-Sebdani, Reza; Eskandari, Zohreh; Meijer, Hil G. E. 1 2018 (INVITED) Homoclinic puzzles and chaos in a nonlinear laser model. Zbl 1466.78019Pusuluri, Krishna; Meijer, H. G. E.; Shilnikov, A. L. 3 2021 On analysis of inputs triggering large nonlinear neural responses slow-fast dynamics in the wendling neural mass model. Zbl 1451.92017Hebbink, Jurgen; van Gils, Stephan A.; Meijer, Hil G. E. 1 2020 Numerical bifurcation analysis of maps. From theory to software. Zbl 1425.37002Kuznetsov, Yuri A.; Meijer, Hil G. E. 9 2019 Homoclinic saddle to saddle-focus transitions in 4D systems. Zbl 1422.34142Kalia, Manu; Kuznetsov, Yuri A.; Meijer, Hil G. E. 1 2019 Numerical bifurcation analysis of homoclinic orbits embedded in one-dimensional manifolds of maps. Zbl 1484.65332Neirynck, Niels; Govaerts, Willy; Kuznetsov, Yuri A.; Meijer, Hil G. E. 1 2018 Numerical bifurcation analysis of double \(+1\) multiplier in \(\mathbb Z_3\)-symmetric maps. Zbl 1398.37089Mazrooei-Sebdani, Reza; Eskandari, Zohreh; Meijer, Hil G. E. 1 2018 Initialization of homoclinic solutions near Bogdanov-Takens points: Lindstedt-Poincaré compared with regular perturbation method. Zbl 1343.34104Al-Hdaibat, B.; Govaerts, W.; Kuznetsov, Yu. A.; Meijer, H. G. E. 10 2016 Accurate approximation of homoclinic solutions in Gray-Scott kinetic model. Zbl 1325.34063Kuznetsov, Yu. A.; Meijer, H. G. E.; Al-Hdaibat, B.; Govaerts, W. 7 2015 Tracking pattern evolution through extended center manifold reduction and singular perturbations. Zbl 1364.35040Sewalt, L.; Doelman, A.; Meijer, H. G. E.; Rottschäfer, V.; Zagaris, A. 5 2015 Modeling focal epileptic activity in the Wilson-cowan model with depolarization block. Zbl 1357.92013Meijer, Hil G. E.; Eissa, Tahra L.; Kiewiet, Bert; Neuman, Jeremy F.; Schevon, Catherine A.; Emerson, Ronald G.; Goodman, Robert R.; McKhann, Guy M.; Marcuccilli, Charles J.; Tryba, Andrew K.; Cowan, Jack D.; van Gils, Stephan A.; van Drongelen, Wim 5 2015 Improved homoclinic predictor for Bogdanov-Takens bifurcation. Zbl 1296.34098Kuznetsov, Yu. A.; Meijer, H. G. E.; Al Hdaibat, B.; Govaerts, W. 11 2014 Travelling waves in a neural field model with refractoriness. Zbl 1345.92044Meijer, Hil G. E.; Coombes, Stephen 4 2014 Bifurcation analysis of a model for atherosclerotic plaque evolution. Zbl 1349.92072Bulelzai, M. A. K.; Dubbeldam, J. L. A.; Meijer, H. G. E. 1 2014 The Hopf-van der Pol system: failure of a homotopy method. Zbl 1256.34009Meijer, H. G. E.; Kalmár-Nagy, T. 3 2012 Analysis of stability and bifurcations of fixed points and periodic solutions of a lumped model of neocortex with two delays. Zbl 1291.92051Visser, Sid; Meijer, Hil G. E.; van Putten, Michel J. A. M.; van Gils, Stephan A. 3 2012 Numerical continuation of connecting orbits of maps in MATLAB. Zbl 1171.65093Ghaziani, R. Khoshsiar; Govaerts, W.; Kuznetsov, Yu. A.; Meijer, H. G. E. 9 2009 New features of the software MatCont for bifurcation analysis of dynamical systems. Zbl 1158.34302Dhooge, A.; Govaerts, W.; Kuznetsov, Yu. A.; Meijer, H. G. E.; Sautois, B. 121 2008 Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs. Zbl 1164.37015Kuznetsov, Yu. A.; Meijer, H. G. E.; Govaerts, W.; Sautois, B. 7 2008 Numerical methods for two-parameter local bifurcation analysis of maps. Zbl 1155.65397Govaerts, W.; Ghaziani, R. Khoshsiar; Kuznetsov, Yu. A.; Meijer, H. G. E. 32 2007 Remarks on interacting Neimark–Sacker bifurcations. Zbl 1108.37038Kuznetsov, Yu. A.; Meijer, H. G. E. 15 2006 Numerical normal forms for codim 2 bifurcations of fixed points with at most two critical eigenvalues. Zbl 1080.37056Kuznetsov, Yu. A.; Meijer, H. G. E. 24 2005 Generalized Hénon map and bifurcations of homoclinic tangencies. Zbl 1090.37036Gonchenko, V. S.; Kuznetsov, Yu. A.; Meijer, H. G. E. 18 2005 The fold-flip bifurcation. Zbl 1077.37515Kuznetsov, Yu. A.; Meijer, H. G. E.; van Veen, L. 31 2004 Determination of all coherent pairs. Zbl 0880.42012Meijer, H. G. 63 1997 A short history of orthogonal polynomials in a Sobolev space. I: The non-discrete case. Zbl 0862.33001Meijer, H. G. 26 1996 all cited Publications top 5 cited Publications all top 5 Cited by 512 Authors 12 Meijer, Hil G. E. 11 Govaerts, Willy J. F. 11 Kuznetsov, Yuri Alexandrovich 10 Eskandari, Zohreh 9 Algaba, Antonio 9 Chung, Kwok-Wai 9 Qin, Bo-Wei 9 Rodríguez-Luis, Alejandro J. 7 Scarabel, Francesca 6 Gyllenberg, Mats 4 Alidousti, Javad 4 Avazzadeh, Zakieh 4 Breda, Dimitri 4 Chattopadhyay, Joydev 4 Diekmann, Odo 4 Erhardt, André 4 Gonchenko, Sergey V. 4 Inaba, Naohiko 4 Jiang, Jifa 4 Kamiyama, Kyohei 4 Krauskopf, Bernd 4 Kühn, Christian 4 Mazrooei-Sebdani, Reza 4 Niu, Lei 4 van Gils, Stephan A. 4 Wang, Wendi 3 Aihara, Kazuyuki 3 Al-Hdaibat, Bashir 3 Bakri, Taoufik 3 Hittmeyer, Stefanie 3 Janssens, Sebastiaan G. 3 Kalmár-Nagy, Tamás 3 Kaslik, Eva 3 Kooi, Bob W. 3 Mondal, Argha 3 Mondal, Arnab 3 Muni, Sishu Shankar 3 Osinga, Hinke Maria 3 Pusuluri, Krishna 3 Sekikawa, Munehisa 3 Shilnikov, Andrey L. 3 Verhulst, Ferdinand 3 Vermiglio, Rossana 3 Volpert, Vitaly A. 3 Yan, Ping 2 Alonso, Diego M. 2 Anastassiou, Stavros 2 Andò, Alessia 2 Balint, Stefan 2 Banerjee, Malay 2 Banerjee, Swarnendu 2 Beuter, Anne 2 Chernyshenko, Sergei I. 2 Chu, Fulei 2 Davies, Colleen M. 2 De Witte, Virginie 2 Doelman, Arjen 2 Drubi, Fátima 2 Endo, Tetsuro 2 Falcolini, Corrado 2 Fantuzzi, Giovanni 2 Fekih-Salem, Radhouane 2 Feudel, Ulrike 2 Gonchenko, V. S. 2 He, Qizhi 2 Hernández-López, Eymard 2 Humphries, Antony R. 2 Ibáñez, Santiago 2 Jardón-Kojakhmetov, Hildeberto 2 Kumar Upadhyay, Ranjit 2 Lakshmi, Mayur V. 2 Li, Bo 2 Li, Ming-Chia 2 Liu, Yunfei 2 Luo, Jianfeng 2 Malkin, Mikhail Iosifovich 2 McLachlan, Robert I. 2 Mohd, Mohd Hafiz 2 Moiola, Jorge Luis 2 Naik, Parvaiz Ahmad 2 Net, Marta 2 Páez Chávez, Joseph Nikolai 2 Pal, Nikhil Ranjan 2 Panday, Pijush 2 Pugliese, Andrea 2 Qin, Zhaoye 2 Queirolo, Elena 2 Revel, Gustavo 2 Rocşoreanu, Carmen 2 Russo, Lucia 2 Samanta, Sudip K. 2 Sari, Tewfik 2 Sensi, Mattia 2 Sewalt, Lotte 2 Sharma, Sanjeev Kumar 2 Siettos, Constantinos I. 2 Simó, Carles 2 Simpson, David John Warwick 2 Solem, Susanne 2 Sonck, Charlotte ...and 412 more Authors all top 5 Cited in 75 Serials 26 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 21 Physica D 14 Chaos, Solitons and Fractals 14 Journal of Difference Equations and Applications 14 Chaos 10 Journal of Mathematical Biology 10 Communications in Nonlinear Science and Numerical Simulation 10 SIAM Journal on Applied Dynamical Systems 9 Nonlinear Dynamics 8 Journal of Theoretical Biology 5 Journal of Computational Neuroscience 5 Discrete and Continuous Dynamical Systems 5 Regular and Chaotic Dynamics 5 The Journal of Mathematical Neuroscience 4 Journal of Nonlinear Science 4 Discrete Dynamics in Nature and Society 4 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Fluid Mechanics 3 Bulletin of Mathematical Biology 3 Journal of Computational and Applied Mathematics 3 Mathematics and Computers in Simulation 3 Applied Mathematical Modelling 3 Journal of Computational Dynamics 2 Acta Mechanica 2 Biological Cybernetics 2 Mathematical Biosciences 2 Applied Mathematics and Computation 2 Journal of Dynamics and Differential Equations 2 Complexity 2 Differential Equations and Dynamical Systems 2 Nonlinear Analysis. Real World Applications 2 Dynamical Systems 2 Advances in Difference Equations 2 Mathematical Biosciences and Engineering 2 Discrete and Continuous Dynamical Systems. Series S 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Physics Letters. A 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Journal of Differential Equations 1 Numerische Mathematik 1 Ricerche di Matematica 1 Mathematical Social Sciences 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Journal of Scientific Computing 1 Neural Networks 1 European Journal of Applied Mathematics 1 Neural Computation 1 Celestial Mechanics and Dynamical Astronomy 1 European Journal of Control 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Optimization Methods & Software 1 Soft Computing 1 Mathematical and Computer Modelling of Dynamical Systems 1 Journal of Biological Systems 1 Journal of High Energy Physics 1 Qualitative Theory of Dynamical Systems 1 Kragujevac Journal of Mathematics 1 Journal of Applied Mathematics 1 International Journal of Geometric Methods in Modern Physics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Biological Dynamics 1 Mathematical Modelling of Natural Phenomena 1 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 1 ISRN Biomathematics 1 Mathematics 1 International Journal of Applied and Computational Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Mathematics in Applied Sciences and Engineering 1 Russian Journal of Nonlinear Dynamics all top 5 Cited in 28 Fields 121 Dynamical systems and ergodic theory (37-XX) 117 Biology and other natural sciences (92-XX) 94 Ordinary differential equations (34-XX) 43 Numerical analysis (65-XX) 23 Partial differential equations (35-XX) 23 Difference and functional equations (39-XX) 14 Mechanics of particles and systems (70-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Fluid mechanics (76-XX) 6 Systems theory; control (93-XX) 5 Information and communication theory, circuits (94-XX) 4 Computer science (68-XX) 4 Mechanics of deformable solids (74-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Integral equations (45-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year