Edit Profile (opens in new tab) Govaerts, Willy J. F. Compute Distance To: Compute Author ID: govaerts.willy-j-f Published as: Govaerts, W.; Govaerts, Willy; Govaerts, Willy J. F. more...less Documents Indexed: 101 Publications since 1975, including 1 Book Reviewing Activity: 217 Reviews Co-Authors: 33 Co-Authors with 62 Joint Publications 832 Co-Co-Authors all top 5 Co-Authors 36 single-authored 28 Kuznetsov, Yuri Alexandrovich 10 Dhooge, Annick 9 Crombez, Gilbert 8 Meijer, Hil G. E. 6 Sautois, B. 6 Sijnave, B. 5 Al-Hdaibat, Bashir 5 De Witte, Virginie 5 Pryce, John D. 4 Doedel, Eusebius J. 4 Friedman, Mark J. 3 Sonck, Charlotte 2 Bindel, David S. 2 Defant, Andreas 2 Neirynck, Niels 1 Aryati, Lina 1 Beyn, Wolf-Jürgen 1 Böhmer, Klaus 1 Champneys, Alan R. 1 Chu, King-Wah Eric 1 Delanghe, Richard 1 Della Rossa, Fabio 1 Demmel, James Weldon 1 Guckenheimer, John M. 1 Impens, Chris 1 Janovský, Vladimír 1 Khibnik, Alexander I. 1 Kuznetsov, W. 1 Sandstede, Björn 1 Toaha, Syamsuddin 1 van Kekem, Dirk L. 1 Werner, Bodo 1 Wiraningsih, E. D. all top 5 Serials 8 SIAM Journal on Numerical Analysis 7 Bulletin de la Société Matheḿatique de Belgique. Série B 5 Simon Stevin 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 ACM Transactions on Mathematical Software 4 Journal of Computational and Applied Mathematics 3 Numerische Mathematik 3 Proceedings of the American Mathematical Society 3 Linear Algebra and its Applications 3 Journal of Difference Equations and Applications 3 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Mathematics and Computers in Simulation 2 SIAM Journal on Scientific Computing 2 SIAM Journal on Applied Dynamical Systems 1 IMA Journal of Numerical Analysis 1 Journal of Mathematical Analysis and Applications 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Annales de l’Institut Fourier 1 BIT 1 Bulletin de la Société Royale des Sciences de Liège 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Pacific Journal of Mathematics 1 Portugaliae Mathematica 1 Physica D 1 Applied Numerical Mathematics 1 SIAM Journal on Matrix Analysis and Applications 1 Neural Computation 1 Journal of the Australian Mathematical Society. Series A 1 Numerical Linear Algebra with Applications 1 Discrete and Continuous Dynamical Systems 1 Mathematical and Computer Modelling of Dynamical Systems 1 Discrete Dynamics in Nature and Society 1 Nonlinear Analysis. Real World Applications 1 International Journal of Applied Mathematics and Statistics all top 5 Fields 50 Numerical analysis (65-XX) 33 Dynamical systems and ergodic theory (37-XX) 19 Functional analysis (46-XX) 15 Ordinary differential equations (34-XX) 10 General topology (54-XX) 8 Biology and other natural sciences (92-XX) 7 Abstract harmonic analysis (43-XX) 5 General algebraic systems (08-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Computer science (68-XX) 3 Operator theory (47-XX) 2 Mathematical logic and foundations (03-XX) 2 Difference and functional equations (39-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 80 Publications have been cited 1,017 times in 746 Documents Cited by ▼ Year ▼ MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs. Zbl 1070.65574Dhooge, A.; Govaerts, W.; Kuznetsov, Yu. A. 295 2003 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 Numerical methods for bifurcations of dynamical equilibria. Zbl 0935.37054Govaerts, Willy J. F. 118 2000 Numerical continuation, and computation of normal forms. Zbl 1034.37048Beyn, Wolf-Jürgen; Champneys, Alan; Doedel, Eusebius; Govaerts, Willy; Kuznetsov, Yuri A.; Sandstede, Björn 36 2002 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 Stable solvers and block elimination for bordered systems. Zbl 0736.65015Govaerts, W. 30 1991 Numerical continuation of bifurcations of limit cycles in MATLAB. Zbl 1087.65118Govaerts, Willy; Kuznetsov, Yuri A.; Dhooge, Annick 19 2005 Computation of the phase response curve: a direct numerical approach. Zbl 1087.92001Govaerts, W.; Sautois, B. 18 2006 Resonance and bifurcation in a discrete-time predator-prey system with Holling functional response. Zbl 1239.39011Ghaziani, R. Khoshsiar; Govaerts, Willy J. F.; Sonck, C. 17 2012 Mixed block elimination for linear systems with wider borders. Zbl 0778.65017Govaerts, W.; Pryce, J. D. 16 1993 Stable cycles in a Cournot duopoly model of Kopel. Zbl 1151.91458Govaerts, W.; Ghaziani, R. Khoshsiar 14 2008 Tensor products and spaces of vector-valued continuous functions. Zbl 0601.46064Defant, Andreas; Govaerts, Willy 14 1986 Computation of periodic solution bifurcations in ODEs using bordered systems. Zbl 1066.65154Doedel, E. J.; Govaerts, W.; Kuznetsov, Yu. A. 13 2003 Improved homoclinic predictor for Bogdanov-Takens bifurcation. Zbl 1296.34098Kuznetsov, Yu. A.; Meijer, H. G. E.; Al Hdaibat, B.; Govaerts, W. 11 2014 Block elimination with one refinement solves bordered linear systems accurately. Zbl 0702.65024Govaerts, W.; Pryce, J. D. 11 1990 Bordered matrices and singularities of large nonlinear systems. Zbl 0887.65053Govaerts, W. 11 1995 Defining functions for multiple Hopf bifurcations. Zbl 0873.65053Govaerts, W.; Guckenheimer, J.; Khibnik, A. 10 1997 Computation of singularities in large nonlinear systems. Zbl 0874.65041Govaerts, W. 10 1997 Interactive initialization and continuation of homoclinic and heteroclinic orbits in MATLAB. Zbl 1365.65274De Witte, Virginie; Govaerts, Willy; Kuznetsov, Yuri A.; Friedman, Mark 10 2012 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 Bifurcation, bursting and spike generation in a neural model. Zbl 1043.37057Govaerts, W.; Dhooge, A. 10 2002 Numerical computation of bifurcations in large equilibrium systems in Matlab. Zbl 1278.65003Bindel, D.; Friedman, M.; Govaerts, W.; Hughes, J.; Kuznetsov, Yu. A. 9 2014 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 periodic normalization for codim 1 bifurcations of limit cycles. Zbl 1103.34025Kuznetsov, Yu. A.; Govaerts, W.; Doedel, E. J.; Dhooge, A. 8 2005 Numerical methods for the generalized Hopf bifurcation. Zbl 0968.65109Govaerts, W.; Kuznetsov, Yu. A.; Sijnave, B. 8 2000 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 Numerical continuation of branch points of equilibria and periodic orbits. Zbl 1081.37054Doedel, E. J.; Govaerts, W.; Kuznetsov, W.; Dhooge, A. 7 2005 Numerical continuation of branch points of limit cycles in MATCONT. Zbl 1086.65538Dhooge, A.; Govaerts, W.; Kuznetsov, Y. A. 7 2004 Computation of Takens–Bogdanov type bifurcations with arbitrary codimension. Zbl 0780.65037Govaerts, W. 7 1993 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 Homomorphisms of weighted algebras of continuous functions. Zbl 0379.46014Govaerts, W. 6 1978 A singular value inequality for block matrices. Zbl 0682.15014Govaerts, W.; Pryce, J. D. 6 1989 Numerical bifurcation analysis of a nonlinear stage structured cannibalism population model. Zbl 1108.37057Govaerts, W.; Ghaziani, R. Khoshsiar 6 2006 Numerical periodic normalization for codim 2 bifurcations of limit cycles: computational formulas, numerical implementation, and examples. Zbl 1284.34049De Witte, V.; Della Rossa, F.; Govaerts, W.; Kuznetsov, Yu. A. 6 2013 MATCONT: Matlab software for bifurcation study of dynamical systems. Zbl 1088.65591Dhooge, A.; Sautois, B.; Govaerts, W.; Kuznetsov, Yu. A. 5 2005 Codimension-two bifurcations of fixed points in a class of discrete prey-predator systems. Zbl 1229.92072Ghaziani, R. Khoshsiar; Govaerts, W.; Sonck, C. 5 2011 Numerical bifurcation analysis for ODEs. Zbl 0971.65117Govaerts, W. 5 2000 Compact convolution operators between \(L_p(G)\)-spaces. Zbl 0398.43006Crombez, G.; Govaerts, W. 4 1978 Numerical detection of symmetry breaking bifurcation points with nonlinear degeneracies. Zbl 0918.65039Böhmer, Klaus; Govaerts, Willy; Janovský, Vladimír 4 1999 Continuation of homoclinic orbits in MATLAB. Zbl 1129.65324Friedman, M.; Govaerts, W.; Kuznetsov, Yu. A.; Sautois, B. 4 2005 On periodic and chaotic behavior in a two-dimensional monopoly model. Zbl 1351.91018Al-Hdaibat, Bashir; Govaerts, Willy; Neirynck, Niels 4 2015 Bornological and ultrabornological spaces of typ \(C(X,F)\) and \(E \in F\). Zbl 0525.46024Defant, Andreas; Govaerts, Willy 4 1984 Solution of bordered singular systems in numerical continuation and bifurcation. Zbl 0806.65023Govaerts, W. 4 1994 Interactive continuation tools. Zbl 1126.65108Govaerts, Willy; Kuznetsov, Yuri A. 4 2007 Representation and determination problems: a case study. Zbl 0318.54011Govaerts, W. 3 1976 Bifurcation analysis of large equilibrium systems in MATLAB. Zbl 1129.65323Bindel, David S.; Demmel, James W.; Friedman, Mark J.; Govaerts, Willy J. F.; Kuznetsov, Yuri A. 3 2005 The convolution-induced topology on \(L_\infty\)(G) and linearly dependent translates in \(L_ 1(\)G). Zbl 0486.43001Crombez, G.; Govaerts, W. 3 1982 Bornological spaces of non-Archimedean valued functions with the compact- open topology. Zbl 0437.46066Govaerts, W. 3 1980 A separation axiom for the study of function space structures. Zbl 0321.54008Govaerts, W. 2 1976 A modified notion of E-compactness. Zbl 0321.54012Govaerts, W. 2 1976 Bornological spaces of non-Archimedean valued functions with the point- open topology. Zbl 0368.46027Govaerts, W. 2 1978 Weakly compact convolution operators in \(L_1(G)\). Zbl 0379.43004Crombez, G.; Govaerts, W. 2 1978 Detection of Hopf points by counting sectors in the complex plane. Zbl 0860.65027Govaerts, W.; Spence, A. 2 1996 Completely continuous multipliers from \(L_1(G)\) into \(L_\infty(G)\). Zbl 0518.42009Crombez, G.; Govaerts, W. 2 1984 Bordered augmented linear systems in numerical continuation and bifurcation. Zbl 0696.65049Govaerts, W. 2 1990 Matrix manifolds and the Jordan structure of the bialternate matrix product. Zbl 0936.15006Govaerts, W.; Sijnave, B. 2 1999 A characterization of certain weak *-closed subalgebras of \(L_\infty (G)\). Zbl 0426.43002Crombez, G.; Govaerts, W. 2 1979 A productive class of angelic spaces. Zbl 0443.46012Govaerts, W. 2 1980 Strongly and weakly almost periodic multipliers from \(L_ 1(\)G) to \(L_\infty\)(G). Zbl 0458.43006Crombez, G.; Govaerts, W. 2 1980 Defining functions for manifolds of matrices. Zbl 0895.15003Govaerts, W. 1 1997 Structures of continuous functions. Representation of homomorphisms. Zbl 0318.54010Govaerts, W. 1 1975 E-compactness and continuous function spaces. Zbl 0405.54009Govaerts, W. 1 1978 Block elimination with iterative refinement for bordered linear systems. Zbl 0737.65015Govaerts, W.; Pryce, J. D. 1 1991 Continuous bordering of matrices and continuous matrix decompositions. Zbl 0829.15007Govaerts, Willy; Werner, Bodo 1 1995 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 The geodesics of Pryce’s relative distance in \({\mathbb{R}}^ 2_{\infty}\). Zbl 0614.65011Govaerts, W. 1 1986 Nuclear multipliers from \(L_ 1(G)\) into \(L_ p(G)\). Zbl 0637.43004Crombez, G.; Govaerts, W. 1 1986 Stability analysis rabies model in animals with the effect of vaccination and sterilization. Zbl 1368.92194Wiraningsih, E. D.; Govaerts, W.; Widodo; Aryati, L.; Toaha, S. 1 2015 Rank-deficient matrices as a computational tool. Zbl 0889.65041Govaerts, W.; Sijnave, B. 1 1997 Bifurcations of maps in the software package CONTENT. Zbl 1072.37515Govaerts, W.; Kuznetsov, Yu. A.; Sijnave, B. 1 1999 Implementation of Hopf and double-Hopf continuation using bordering methods. Zbl 0934.65140Govaerts, W.; Kuznetsov, Yu. A.; Sijnave, B. 1 1998 General spaces of continuous functions. Zbl 0426.54011Govaerts, W. 1 1977 Matrices with rank deficiency two in eigenvalue problems and dynamical systems. Zbl 0814.65038Chu, K.-W. E.; Govaerts, W.; Spence, A. 1 1994 Continuation of codimension-2 equilibrium bifurcations in CONTENT. Zbl 0958.65140Govaerts, W.; Kuznetsov, Yu. A.; Sijnave, B. 1 2000 Locally convex spaces of non-Archimedean valued continuous functions. Zbl 0488.46063Govaerts, Willy 1 1983 Bornological spaces of vector-valued continuous functions. Zbl 0431.46026Govaerts, W. 1 1979 Towards a classification of convolution-type operators from \(\ell_1\) to \(\ell_\infty\). Zbl 0446.47017Crombez, G.; Govaerts, W. 1 1980 Computation of normal form coefficients of cycle bifurcations of maps by algorithmic differentiation. Zbl 1203.65049Pryce, J. D.; Ghaziani, R. Khoshsiar; De Witte, V.; Govaerts, W. 1 2010 Numerical continuation of fold bifurcations of limit cycles in MATCONT. Zbl 1039.65057Dhooge, Annick; Govaerts, Willy; Kuznetsov, Yuri A. 1 2003 Bornological properties of spaces of non-Archimedean valued functions. Zbl 0456.46066Govaerts, W. 1 1980 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 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 On periodic and chaotic behavior in a two-dimensional monopoly model. Zbl 1351.91018Al-Hdaibat, Bashir; Govaerts, Willy; Neirynck, Niels 4 2015 Stability analysis rabies model in animals with the effect of vaccination and sterilization. Zbl 1368.92194Wiraningsih, E. D.; Govaerts, W.; Widodo; Aryati, L.; Toaha, S. 1 2015 Improved homoclinic predictor for Bogdanov-Takens bifurcation. Zbl 1296.34098Kuznetsov, Yu. A.; Meijer, H. G. E.; Al Hdaibat, B.; Govaerts, W. 11 2014 Numerical computation of bifurcations in large equilibrium systems in Matlab. Zbl 1278.65003Bindel, D.; Friedman, M.; Govaerts, W.; Hughes, J.; Kuznetsov, Yu. A. 9 2014 Numerical periodic normalization for codim 2 bifurcations of limit cycles: computational formulas, numerical implementation, and examples. Zbl 1284.34049De Witte, V.; Della Rossa, F.; Govaerts, W.; Kuznetsov, Yu. A. 6 2013 Resonance and bifurcation in a discrete-time predator-prey system with Holling functional response. Zbl 1239.39011Ghaziani, R. Khoshsiar; Govaerts, Willy J. F.; Sonck, C. 17 2012 Interactive initialization and continuation of homoclinic and heteroclinic orbits in MATLAB. Zbl 1365.65274De Witte, Virginie; Govaerts, Willy; Kuznetsov, Yuri A.; Friedman, Mark 10 2012 Codimension-two bifurcations of fixed points in a class of discrete prey-predator systems. Zbl 1229.92072Ghaziani, R. Khoshsiar; Govaerts, W.; Sonck, C. 5 2011 Computation of normal form coefficients of cycle bifurcations of maps by algorithmic differentiation. Zbl 1203.65049Pryce, J. D.; Ghaziani, R. Khoshsiar; De Witte, V.; Govaerts, W. 1 2010 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 Stable cycles in a Cournot duopoly model of Kopel. Zbl 1151.91458Govaerts, W.; Ghaziani, R. Khoshsiar 14 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 Interactive continuation tools. Zbl 1126.65108Govaerts, Willy; Kuznetsov, Yuri A. 4 2007 Computation of the phase response curve: a direct numerical approach. Zbl 1087.92001Govaerts, W.; Sautois, B. 18 2006 Numerical bifurcation analysis of a nonlinear stage structured cannibalism population model. Zbl 1108.37057Govaerts, W.; Ghaziani, R. Khoshsiar 6 2006 Numerical continuation of bifurcations of limit cycles in MATLAB. Zbl 1087.65118Govaerts, Willy; Kuznetsov, Yuri A.; Dhooge, Annick 19 2005 Numerical periodic normalization for codim 1 bifurcations of limit cycles. Zbl 1103.34025Kuznetsov, Yu. A.; Govaerts, W.; Doedel, E. J.; Dhooge, A. 8 2005 Numerical continuation of branch points of equilibria and periodic orbits. Zbl 1081.37054Doedel, E. J.; Govaerts, W.; Kuznetsov, W.; Dhooge, A. 7 2005 MATCONT: Matlab software for bifurcation study of dynamical systems. Zbl 1088.65591Dhooge, A.; Sautois, B.; Govaerts, W.; Kuznetsov, Yu. A. 5 2005 Continuation of homoclinic orbits in MATLAB. Zbl 1129.65324Friedman, M.; Govaerts, W.; Kuznetsov, Yu. A.; Sautois, B. 4 2005 Bifurcation analysis of large equilibrium systems in MATLAB. Zbl 1129.65323Bindel, David S.; Demmel, James W.; Friedman, Mark J.; Govaerts, Willy J. F.; Kuznetsov, Yuri A. 3 2005 Numerical continuation of branch points of limit cycles in MATCONT. Zbl 1086.65538Dhooge, A.; Govaerts, W.; Kuznetsov, Y. A. 7 2004 MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs. Zbl 1070.65574Dhooge, A.; Govaerts, W.; Kuznetsov, Yu. A. 295 2003 Computation of periodic solution bifurcations in ODEs using bordered systems. Zbl 1066.65154Doedel, E. J.; Govaerts, W.; Kuznetsov, Yu. A. 13 2003 Numerical continuation of fold bifurcations of limit cycles in MATCONT. Zbl 1039.65057Dhooge, Annick; Govaerts, Willy; Kuznetsov, Yuri A. 1 2003 Numerical continuation, and computation of normal forms. Zbl 1034.37048Beyn, Wolf-Jürgen; Champneys, Alan; Doedel, Eusebius; Govaerts, Willy; Kuznetsov, Yuri A.; Sandstede, Björn 36 2002 Bifurcation, bursting and spike generation in a neural model. Zbl 1043.37057Govaerts, W.; Dhooge, A. 10 2002 Numerical methods for bifurcations of dynamical equilibria. Zbl 0935.37054Govaerts, Willy J. F. 118 2000 Numerical methods for the generalized Hopf bifurcation. Zbl 0968.65109Govaerts, W.; Kuznetsov, Yu. A.; Sijnave, B. 8 2000 Numerical bifurcation analysis for ODEs. Zbl 0971.65117Govaerts, W. 5 2000 Continuation of codimension-2 equilibrium bifurcations in CONTENT. Zbl 0958.65140Govaerts, W.; Kuznetsov, Yu. A.; Sijnave, B. 1 2000 Numerical detection of symmetry breaking bifurcation points with nonlinear degeneracies. Zbl 0918.65039Böhmer, Klaus; Govaerts, Willy; Janovský, Vladimír 4 1999 Matrix manifolds and the Jordan structure of the bialternate matrix product. Zbl 0936.15006Govaerts, W.; Sijnave, B. 2 1999 Bifurcations of maps in the software package CONTENT. Zbl 1072.37515Govaerts, W.; Kuznetsov, Yu. A.; Sijnave, B. 1 1999 Implementation of Hopf and double-Hopf continuation using bordering methods. Zbl 0934.65140Govaerts, W.; Kuznetsov, Yu. A.; Sijnave, B. 1 1998 Defining functions for multiple Hopf bifurcations. Zbl 0873.65053Govaerts, W.; Guckenheimer, J.; Khibnik, A. 10 1997 Computation of singularities in large nonlinear systems. Zbl 0874.65041Govaerts, W. 10 1997 Defining functions for manifolds of matrices. Zbl 0895.15003Govaerts, W. 1 1997 Rank-deficient matrices as a computational tool. Zbl 0889.65041Govaerts, W.; Sijnave, B. 1 1997 Detection of Hopf points by counting sectors in the complex plane. Zbl 0860.65027Govaerts, W.; Spence, A. 2 1996 Bordered matrices and singularities of large nonlinear systems. Zbl 0887.65053Govaerts, W. 11 1995 Continuous bordering of matrices and continuous matrix decompositions. Zbl 0829.15007Govaerts, Willy; Werner, Bodo 1 1995 Solution of bordered singular systems in numerical continuation and bifurcation. Zbl 0806.65023Govaerts, W. 4 1994 Matrices with rank deficiency two in eigenvalue problems and dynamical systems. Zbl 0814.65038Chu, K.-W. E.; Govaerts, W.; Spence, A. 1 1994 Mixed block elimination for linear systems with wider borders. Zbl 0778.65017Govaerts, W.; Pryce, J. D. 16 1993 Computation of Takens–Bogdanov type bifurcations with arbitrary codimension. Zbl 0780.65037Govaerts, W. 7 1993 Stable solvers and block elimination for bordered systems. Zbl 0736.65015Govaerts, W. 30 1991 Block elimination with iterative refinement for bordered linear systems. Zbl 0737.65015Govaerts, W.; Pryce, J. D. 1 1991 Block elimination with one refinement solves bordered linear systems accurately. Zbl 0702.65024Govaerts, W.; Pryce, J. D. 11 1990 Bordered augmented linear systems in numerical continuation and bifurcation. Zbl 0696.65049Govaerts, W. 2 1990 A singular value inequality for block matrices. Zbl 0682.15014Govaerts, W.; Pryce, J. D. 6 1989 Tensor products and spaces of vector-valued continuous functions. Zbl 0601.46064Defant, Andreas; Govaerts, Willy 14 1986 The geodesics of Pryce’s relative distance in \({\mathbb{R}}^ 2_{\infty}\). Zbl 0614.65011Govaerts, W. 1 1986 Nuclear multipliers from \(L_ 1(G)\) into \(L_ p(G)\). Zbl 0637.43004Crombez, G.; Govaerts, W. 1 1986 Bornological and ultrabornological spaces of typ \(C(X,F)\) and \(E \in F\). Zbl 0525.46024Defant, Andreas; Govaerts, Willy 4 1984 Completely continuous multipliers from \(L_1(G)\) into \(L_\infty(G)\). Zbl 0518.42009Crombez, G.; Govaerts, W. 2 1984 Locally convex spaces of non-Archimedean valued continuous functions. Zbl 0488.46063Govaerts, Willy 1 1983 The convolution-induced topology on \(L_\infty\)(G) and linearly dependent translates in \(L_ 1(\)G). Zbl 0486.43001Crombez, G.; Govaerts, W. 3 1982 Bornological spaces of non-Archimedean valued functions with the compact- open topology. Zbl 0437.46066Govaerts, W. 3 1980 A productive class of angelic spaces. Zbl 0443.46012Govaerts, W. 2 1980 Strongly and weakly almost periodic multipliers from \(L_ 1(\)G) to \(L_\infty\)(G). Zbl 0458.43006Crombez, G.; Govaerts, W. 2 1980 Towards a classification of convolution-type operators from \(\ell_1\) to \(\ell_\infty\). Zbl 0446.47017Crombez, G.; Govaerts, W. 1 1980 Bornological properties of spaces of non-Archimedean valued functions. Zbl 0456.46066Govaerts, W. 1 1980 A characterization of certain weak *-closed subalgebras of \(L_\infty (G)\). Zbl 0426.43002Crombez, G.; Govaerts, W. 2 1979 Bornological spaces of vector-valued continuous functions. Zbl 0431.46026Govaerts, W. 1 1979 Homomorphisms of weighted algebras of continuous functions. Zbl 0379.46014Govaerts, W. 6 1978 Compact convolution operators between \(L_p(G)\)-spaces. Zbl 0398.43006Crombez, G.; Govaerts, W. 4 1978 Bornological spaces of non-Archimedean valued functions with the point- open topology. Zbl 0368.46027Govaerts, W. 2 1978 Weakly compact convolution operators in \(L_1(G)\). Zbl 0379.43004Crombez, G.; Govaerts, W. 2 1978 E-compactness and continuous function spaces. Zbl 0405.54009Govaerts, W. 1 1978 General spaces of continuous functions. Zbl 0426.54011Govaerts, W. 1 1977 Representation and determination problems: a case study. Zbl 0318.54011Govaerts, W. 3 1976 A separation axiom for the study of function space structures. Zbl 0321.54008Govaerts, W. 2 1976 A modified notion of E-compactness. Zbl 0321.54012Govaerts, W. 2 1976 Structures of continuous functions. Representation of homomorphisms. Zbl 0318.54010Govaerts, W. 1 1975 all cited Publications top 5 cited Publications all top 5 Cited by 1,294 Authors 28 Govaerts, Willy J. F. 14 Meijer, Hil G. E. 13 Kuznetsov, Yuri Alexandrovich 12 Krauskopf, Bernd 12 Rodríguez-Luis, Alejandro J. 12 Wang, Wendi 11 Algaba, Antonio 11 Qin, Bo-Wei 10 Chung, Kwok-Wai 10 Osinga, Hinke Maria 9 Chien, Cheng-Sheng 9 Eskandari, Zohreh 9 Sahoo, Banshidhar 9 Scarabel, Francesca 9 Siettos, Constantinos I. 8 Arancibia-Ibarra, Claudio 8 Flores, José D. 8 Gyllenberg, Mats 8 Kühn, Christian 8 Poria, Swarup 7 Chaudhary, Sudhakar 7 Defant, Andreas 7 Janovský, Vladimír 7 Kevrekidis, Ioannis George 7 Kooi, Bob W. 7 Páez Chávez, Joseph Nikolai 7 Shilnikov, Andrey L. 6 Aguirre, Pablo 6 Campbell, Sue Ann 6 Hüls, Thorsten 6 Jiang, Jifa 6 Niu, Lei 6 Russo, Lucia 5 Al-Hdaibat, Bashir 5 Barrio, Roberto 5 Breda, Dimitri 5 Chang, Shing-Lin 5 Chattopadhyay, Joydev 5 Diekmann, Odo 5 Kim, Sun-Chul 5 Oubbi, Lahbib 5 Srinivas Kumar, V. V. K. 5 Vermiglio, Rossana 5 Zu, Jian 4 Avazzadeh, Zakieh 4 Avitabile, Daniele 4 Beyn, Wolf-Jürgen 4 Chen, Ke 4 Doedel, Eusebius J. 4 Erhardt, André 4 Gaitonde, Ann L. 4 González-Olivares, Eduardo 4 He, Qizhi 4 Hussein, Anwar 4 Jardón-Kojakhmetov, Hildeberto 4 Kuo, Yueh-Cheng 4 Laing, Carlo R. 4 Li, Bo 4 Mazrooei-Sebdani, Reza 4 Mondal, Argha 4 Mondal, Arnab 4 Okamoto, Hisashi 4 Pryce, John D. 4 Schnabel, Uwe 4 Schwetlick, Hubert 4 Serrano, Sergio E. 4 Shieh, Shih-Feng 4 Srivastava, Vimal 4 Takeuchi, Yasuhiro 4 van den Berg, Jan Bouwe 4 van Heijster, Peter 4 Ward, Michael J. 4 Zhang, Limin 3 Aguiar, Maíra 3 Alidousti, Javad 3 Bakri, Taoufik 3 Banerjee, Malay 3 Bizzarri, Federico 3 Bonet Solves, José 3 Della Rossa, Fabio 3 Dercole, Fabio 3 Edelstein-Keshet, Leah 3 García Guirao, Juan Luis 3 Ghosh, Dibakar 3 Giannino, Francesco 3 Guckenheimer, John M. 3 Haller, George 3 Henderson, Michael E. 3 Hittmeyer, Stefanie 3 Hurtado-López, Julián 3 Ibáñez, Santiago 3 Janovská, Drahoslava 3 Jeng, B.-W. 3 Kalmár-Nagy, Tamás 3 Klilou, Mohammed 3 Kumar Upadhyay, Ranjit 3 Lasagna, Davide 3 Lessard, Jean-Philippe 3 Li, Zhe 3 Ligurský, Tomáš ...and 1,194 more Authors all top 5 Cited in 174 Serials 68 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 31 SIAM Journal on Applied Dynamical Systems 29 Physica D 26 Chaos, Solitons and Fractals 24 Journal of Theoretical Biology 23 Communications in Nonlinear Science and Numerical Simulation 21 Journal of Computational and Applied Mathematics 21 Chaos 20 Journal of Mathematical Biology 19 Nonlinear Dynamics 17 Applied Mathematics and Computation 13 Journal of Difference Equations and Applications 12 Bulletin of Mathematical Biology 12 Mathematics and Computers in Simulation 11 Journal of Mathematical Analysis and Applications 11 Journal of Computational Neuroscience 11 The Journal of Mathematical Neuroscience 9 Nonlinear Analysis. Real World Applications 7 Computer Methods in Applied Mechanics and Engineering 7 Differential Equations and Dynamical Systems 7 Discrete and Continuous Dynamical Systems. Series B 7 Journal of Computational Dynamics 6 Mathematical Biosciences 6 Nonlinearity 6 Numerische Mathematik 6 Linear Algebra and its Applications 6 Journal of Nonlinear Science 6 Advances in Difference Equations 5 Biological Cybernetics 5 Journal of Computational Physics 5 Journal of Fluid Mechanics 5 Archiv der Mathematik 5 Neural Computation 5 Numerical Algorithms 5 Journal of Applied Mathematics and Computing 5 Journal of Biological Dynamics 5 Mathematical Modelling of Natural Phenomena 4 Computers & Mathematics with Applications 4 Computer Physics Communications 4 Mathematics of Computation 4 BIT 4 International Journal for Numerical Methods in Engineering 4 Theoretical Population Biology 4 Applied Numerical Mathematics 4 Japan Journal of Industrial and Applied Mathematics 4 Journal of Dynamics and Differential Equations 4 Numerical Linear Algebra with Applications 4 Computational and Applied Mathematics 4 Complexity 4 Discrete Dynamics in Nature and Society 4 Combustion Theory and Modelling 4 Mathematical Biosciences and Engineering 3 Computers and Fluids 3 International Journal of Theoretical Physics 3 Physics Letters. A 3 Results in Mathematics 3 Journal of Symbolic Computation 3 Mathematical and Computer Modelling 3 Journal of Scientific Computing 3 Applications of Mathematics 3 Applied Mathematical Modelling 3 International Journal of Computer Mathematics 3 Celestial Mechanics and Dynamical Astronomy 3 SIAM Journal on Scientific Computing 3 Discrete and Continuous Dynamical Systems 3 Abstract and Applied Analysis 3 Journal of Applied Mathematics 3 International Journal of Computational Methods 3 Communications in Computational Physics 3 International Journal of Biomathematics 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Acta Mechanica 2 International Journal for Numerical Methods in Fluids 2 Rocky Mountain Journal of Mathematics 2 ACM Transactions on Mathematical Software 2 Computing 2 Czechoslovak Mathematical Journal 2 Journal of Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Ricerche di Matematica 2 Stochastic Analysis and Applications 2 SIAM Journal on Applied Mathematics 2 Indagationes Mathematicae. New Series 2 Economic Theory 2 Optimization Methods & Software 2 Mathematical and Computer Modelling of Dynamical Systems 2 Qualitative Theory of Dynamical Systems 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Discrete and Continuous Dynamical Systems. Series S 2 International Journal of Applied and Computational Mathematics 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of the Franklin Institute ...and 74 more Serials all top 5 Cited in 49 Fields 286 Biology and other natural sciences (92-XX) 262 Dynamical systems and ergodic theory (37-XX) 260 Ordinary differential equations (34-XX) 197 Numerical analysis (65-XX) 85 Partial differential equations (35-XX) 39 Fluid mechanics (76-XX) 38 Mechanics of particles and systems (70-XX) 34 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 33 Functional analysis (46-XX) 32 Difference and functional equations (39-XX) 30 Mechanics of deformable solids (74-XX) 30 Systems theory; control (93-XX) 17 Computer science (68-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 Operator theory (47-XX) 13 Statistical mechanics, structure of matter (82-XX) 11 Abstract harmonic analysis (43-XX) 9 Probability theory and stochastic processes (60-XX) 9 Quantum theory (81-XX) 8 Topological groups, Lie groups (22-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 General topology (54-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Optics, electromagnetic theory (78-XX) 5 Information and communication theory, circuits (94-XX) 4 Statistics (62-XX) 3 Commutative algebra (13-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Integral equations (45-XX) 2 Number theory (11-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Approximations and expansions (41-XX) 2 Relativity and gravitational theory (83-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX) Citations by Year