Edit Profile (opens in new tab) Govaerts, Willy J. F. Co-Author Distance Author ID: govaerts.willy-j-f Published as: Govaerts, W.; Govaerts, Willy; Govaerts, Willy J. F. more...less Documents Indexed: 102 Publications since 1975, including 1 Book and 1 Additional arXiv Preprint Reviewing Activity: 217 Reviews Co-Authors: 33 Co-Authors with 63 Joint Publications 902 Co-Co-Authors all top 5 Co-Authors 36 single-authored 29 Kuznetsov, Yuriĭ Aleksandrovich 10 Dhooge, Annick 9 Crombez, Gilbert 9 Meijer, Hil G. E. 6 De Witte, Virginie 6 Sautois, B. 6 Sijnave, B. 5 Al-Hdaibat, Bashir 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 51 Numerical analysis (65-XX) 34 Dynamical systems and ergodic theory (37-XX) 19 Functional analysis (46-XX) 17 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 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 81 Publications have been cited 1,267 times in 942 Documents Cited by ▼ Year ▼ MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs. Zbl 1070.65574 Dhooge, A.; Govaerts, W.; Kuznetsov, Yu. A. 379 2003 New features of the software MatCont for bifurcation analysis of dynamical systems. Zbl 1158.34302 Dhooge, A.; Govaerts, W.; Kuznetsov, Yu. A.; Meijer, H. G. E.; Sautois, B. 170 2008 Numerical methods for bifurcations of dynamical equilibria. Zbl 0935.37054 Govaerts, Willy J. F. 157 2000 Numerical methods for two-parameter local bifurcation analysis of maps. Zbl 1155.65397 Govaerts, W.; Ghaziani, R. Khoshsiar; Kuznetsov, Yu. A.; Meijer, H. G. E. 48 2007 Numerical continuation, and computation of normal forms. Zbl 1034.37048 Beyn, Wolf-Jürgen; Champneys, Alan; Doedel, Eusebius; Govaerts, Willy; Kuznetsov, Yuri A.; Sandstede, Björn 36 2002 Stable solvers and block elimination for bordered systems. Zbl 0736.65015 Govaerts, W. 31 1991 Resonance and bifurcation in a discrete-time predator-prey system with Holling functional response. Zbl 1239.39011 Ghaziani, R. Khoshsiar; Govaerts, Willy J. F.; Sonck, C. 28 2012 Numerical continuation of bifurcations of limit cycles in MATLAB. Zbl 1087.65118 Govaerts, Willy; Kuznetsov, Yuri A.; Dhooge, Annick 23 2005 Computation of the phase response curve: a direct numerical approach. Zbl 1087.92001 Govaerts, W.; Sautois, B. 19 2006 Stable cycles in a Cournot duopoly model of Kopel. Zbl 1151.91458 Govaerts, W.; Ghaziani, R. Khoshsiar 17 2008 Computation of periodic solution bifurcations in ODEs using bordered systems. Zbl 1066.65154 Doedel, E. J.; Govaerts, W.; Kuznetsov, Yu. A. 16 2003 Mixed block elimination for linear systems with wider borders. Zbl 0778.65017 Govaerts, W.; Pryce, J. D. 16 1993 Block elimination with one refinement solves bordered linear systems accurately. Zbl 0702.65024 Govaerts, W.; Pryce, J. D. 15 1990 Tensor products and spaces of vector-valued continuous functions. Zbl 0601.46064 Defant, Andreas; Govaerts, Willy 14 1986 Improved homoclinic predictor for Bogdanov-Takens bifurcation. Zbl 1296.34098 Kuznetsov, Yu. A.; Meijer, H. G. E.; Al Hdaibat, B.; Govaerts, W. 14 2014 Interactive initialization and continuation of homoclinic and heteroclinic orbits in MATLAB. Zbl 1365.65274 De Witte, Virginie; Govaerts, Willy; Kuznetsov, Yuri A.; Friedman, Mark 14 2012 Initialization of homoclinic solutions near Bogdanov-Takens points: Lindstedt-Poincaré compared with regular perturbation method. Zbl 1343.34104 Al-Hdaibat, B.; Govaerts, W.; Kuznetsov, Yu. A.; Meijer, H. G. E. 13 2016 Numerical continuation of connecting orbits of maps in MATLAB. Zbl 1171.65093 Ghaziani, R. Khoshsiar; Govaerts, W.; Kuznetsov, Yu. A.; Meijer, H. G. E. 12 2009 Computation of singularities in large nonlinear systems. Zbl 0874.65041 Govaerts, W. 11 1997 Bordered matrices and singularities of large nonlinear systems. Zbl 0887.65053 Govaerts, W. 11 1995 Numerical periodic normalization for codim 1 bifurcations of limit cycles. Zbl 1103.34025 Kuznetsov, Yu. A.; Govaerts, W.; Doedel, E. J.; Dhooge, A. 10 2005 Numerical periodic normalization for codim 2 bifurcations of limit cycles: computational formulas, numerical implementation, and examples. Zbl 1284.34049 De Witte, V.; Della Rossa, F.; Govaerts, W.; Kuznetsov, Yu. A. 10 2013 Numerical computation of bifurcations in large equilibrium systems in Matlab. Zbl 1278.65003 Bindel, D.; Friedman, M.; Govaerts, W.; Hughes, J.; Kuznetsov, Yu. A. 10 2014 Defining functions for multiple Hopf bifurcations. Zbl 0873.65053 Govaerts, W.; Guckenheimer, J.; Khibnik, A. 10 1997 Codimension-two bifurcations of fixed points in a class of discrete prey-predator systems. Zbl 1229.92072 Ghaziani, R. Khoshsiar; Govaerts, W.; Sonck, C. 9 2011 Bifurcation, bursting and spike generation in a neural model. Zbl 1043.37057 Govaerts, W.; Dhooge, A. 9 2002 Accurate approximation of homoclinic solutions in Gray-Scott kinetic model. Zbl 1325.34063 Kuznetsov, Yu. A.; Meijer, H. G. E.; Al-Hdaibat, B.; Govaerts, W. 8 2015 Numerical continuation of branch points of equilibria and periodic orbits. Zbl 1081.37054 Doedel, E. J.; Govaerts, W.; Kuznetsov, W.; Dhooge, A. 8 2005 Numerical continuation of branch points of limit cycles in MATCONT. Zbl 1086.65538 Dhooge, A.; Govaerts, W.; Kuznetsov, Y. A. 8 2004 Numerical methods for the generalized Hopf bifurcation. Zbl 0968.65109 Govaerts, W.; Kuznetsov, Yu. A.; Sijnave, B. 8 2000 Numerical bifurcation analysis of a nonlinear stage structured cannibalism population model. Zbl 1108.37057 Govaerts, W.; Ghaziani, R. Khoshsiar 7 2006 Computation of Takens–Bogdanov type bifurcations with arbitrary codimension. Zbl 0780.65037 Govaerts, W. 7 1993 Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs. Zbl 1164.37015 Kuznetsov, Yu. A.; Meijer, H. G. E.; Govaerts, W.; Sautois, B. 7 2008 Homomorphisms of weighted algebras of continuous functions. Zbl 0379.46014 Govaerts, W. 7 1978 Numerical bifurcation analysis for ODEs. Zbl 0971.65117 Govaerts, W. 7 2000 A singular value inequality for block matrices. Zbl 0682.15014 Govaerts, W.; Pryce, J. D. 6 1989 MATCONT: Matlab software for bifurcation study of dynamical systems. Zbl 1088.65591 Dhooge, A.; Sautois, B.; Govaerts, W.; Kuznetsov, Yu. A. 5 2005 On periodic and chaotic behavior in a two-dimensional monopoly model. Zbl 1351.91018 Al-Hdaibat, Bashir; Govaerts, Willy; Neirynck, Niels 5 2015 Solution of bordered singular systems in numerical continuation and bifurcation. Zbl 0806.65023 Govaerts, W. 5 1994 Continuation of homoclinic orbits in MATLAB. Zbl 1129.65324 Friedman, M.; Govaerts, W.; Kuznetsov, Yu. A.; Sautois, B. 5 2005 Bornological and ultrabornological spaces of typ \(C(X,F)\) and \(E \in F\). Zbl 0525.46024 Defant, Andreas; Govaerts, Willy 4 1984 Interactive continuation tools. Zbl 1126.65108 Govaerts, Willy; Kuznetsov, Yuri A. 4 2007 Numerical detection of symmetry breaking bifurcation points with nonlinear degeneracies. Zbl 0918.65039 Böhmer, Klaus; Govaerts, Willy; Janovský, Vladimír 4 1999 Compact convolution operators between \(L_p(G)\)-spaces. Zbl 0398.43006 Crombez, G.; Govaerts, W. 4 1978 Representation and determination problems: a case study. Zbl 0318.54011 Govaerts, W. 3 1976 Bornological spaces of non-Archimedean valued functions with the compact- open topology. Zbl 0437.46066 Govaerts, W. 3 1980 The convolution-induced topology on \(L_\infty\)(G) and linearly dependent translates in \(L_ 1(\)G). Zbl 0486.43001 Crombez, G.; Govaerts, W. 3 1982 Bifurcation analysis of large equilibrium systems in MATLAB. Zbl 1129.65323 Bindel, David S.; Demmel, James W.; Friedman, Mark J.; Govaerts, Willy J. F.; Kuznetsov, Yuri A. 3 2005 Completely continuous multipliers from \(L_1(G)\) into \(L_\infty(G)\). Zbl 0518.42009 Crombez, G.; Govaerts, W. 2 1984 A modified notion of E-compactness. Zbl 0321.54012 Govaerts, W. 2 1976 Bordered augmented linear systems in numerical continuation and bifurcation. Zbl 0696.65049 Govaerts, W. 2 1990 A characterization of certain weak *-closed subalgebras of \(L_\infty (G)\). Zbl 0426.43002 Crombez, G.; Govaerts, W. 2 1979 A productive class of angelic spaces. Zbl 0443.46012 Govaerts, W. 2 1980 Matrix manifolds and the Jordan structure of the bialternate matrix product. Zbl 0936.15006 Govaerts, W.; Sijnave, B. 2 1999 Detection of Hopf points by counting sectors in the complex plane. Zbl 0860.65027 Govaerts, W.; Spence, A. 2 1996 Strongly and weakly almost periodic multipliers from \(L_ 1(\)G) to \(L_\infty\)(G). Zbl 0458.43006 Crombez, G.; Govaerts, W. 2 1980 Weakly compact convolution operators in \(L_1(G)\). Zbl 0379.43004 Crombez, G.; Govaerts, W. 2 1978 A separation axiom for the study of function space structures. Zbl 0321.54008 Govaerts, W. 2 1976 Bornological spaces of non-Archimedean valued functions with the point- open topology. Zbl 0368.46027 Govaerts, W. 2 1978 Nuclear multipliers from \(L_ 1(G)\) into \(L_ p(G)\). Zbl 0637.43004 Crombez, G.; Govaerts, W. 1 1986 The geodesics of Pryce’s relative distance in \({\mathbb{R}}^ 2_{\infty}\). Zbl 0614.65011 Govaerts, W. 1 1986 Continuation of codimension-2 equilibrium bifurcations in CONTENT. Zbl 0958.65140 Govaerts, W.; Kuznetsov, Yu. A.; Sijnave, B. 1 2000 General spaces of continuous functions. Zbl 0426.54011 Govaerts, W. 1 1977 Towards a classification of convolution-type operators from \(\ell_1\) to \(\ell_\infty\). Zbl 0446.47017 Crombez, G.; Govaerts, W. 1 1980 Locally convex spaces of non-Archimedean valued continuous functions. Zbl 0488.46063 Govaerts, Willy 1 1983 Computation of normal form coefficients of cycle bifurcations of maps by algorithmic differentiation. Zbl 1203.65049 Pryce, J. D.; Ghaziani, R. Khoshsiar; De Witte, V.; Govaerts, W. 1 2010 Numerical continuation of fold bifurcations of limit cycles in MATCONT. Zbl 1039.65057 Dhooge, Annick; Govaerts, Willy; Kuznetsov, Yuri A. 1 2003 Stability analysis rabies model in animals with the effect of vaccination and sterilization. Zbl 1368.92194 Wiraningsih, E. D.; Govaerts, W.; Widodo; Aryati, L.; Toaha, S. 1 2015 Continuous bordering of matrices and continuous matrix decompositions. Zbl 0829.15007 Govaerts, Willy; Werner, Bodo 1 1995 Implementation of Hopf and double-Hopf continuation using bordering methods. Zbl 0934.65140 Govaerts, W.; Kuznetsov, Yu. A.; Sijnave, B. 1 1998 Matrices with rank deficiency two in eigenvalue problems and dynamical systems. Zbl 0814.65038 Chu, K.-W. E.; Govaerts, W.; Spence, A. 1 1994 Defining functions for manifolds of matrices. Zbl 0895.15003 Govaerts, W. 1 1997 Rank-deficient matrices as a computational tool. Zbl 0889.65041 Govaerts, W.; Sijnave, B. 1 1997 Bornological spaces of vector-valued continuous functions. Zbl 0431.46026 Govaerts, W. 1 1979 Bornological properties of spaces of non-Archimedean valued functions. Zbl 0456.46066 Govaerts, W. 1 1980 Block elimination with iterative refinement for bordered linear systems. Zbl 0737.65015 Govaerts, W.; Pryce, J. D. 1 1991 Numerical bifurcation analysis of homoclinic orbits embedded in one-dimensional manifolds of maps. Zbl 1484.65332 Neirynck, Niels; Govaerts, Willy; Kuznetsov, Yuri A.; Meijer, Hil G. E. 1 2018 E-compactness and continuous function spaces. Zbl 0405.54009 Govaerts, W. 1 1978 Structures of continuous functions. Representation of homomorphisms. Zbl 0318.54010 Govaerts, W. 1 1975 Bifurcations of maps in the software package CONTENT. Zbl 1072.37515 Govaerts, W.; Kuznetsov, Yu. A.; Sijnave, B. 1 1999 Numerical computation of normal form coefficients of bifurcations of ODEs in Matlab. Zbl 1306.37047 De Witte, Virginie; Govaerts, Willy 1 2011 Numerical bifurcation analysis of homoclinic orbits embedded in one-dimensional manifolds of maps. Zbl 1484.65332 Neirynck, 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 1343.34104 Al-Hdaibat, B.; Govaerts, W.; Kuznetsov, Yu. A.; Meijer, H. G. E. 13 2016 Accurate approximation of homoclinic solutions in Gray-Scott kinetic model. Zbl 1325.34063 Kuznetsov, Yu. A.; Meijer, H. G. E.; Al-Hdaibat, B.; Govaerts, W. 8 2015 On periodic and chaotic behavior in a two-dimensional monopoly model. Zbl 1351.91018 Al-Hdaibat, Bashir; Govaerts, Willy; Neirynck, Niels 5 2015 Stability analysis rabies model in animals with the effect of vaccination and sterilization. Zbl 1368.92194 Wiraningsih, E. D.; Govaerts, W.; Widodo; Aryati, L.; Toaha, S. 1 2015 Improved homoclinic predictor for Bogdanov-Takens bifurcation. Zbl 1296.34098 Kuznetsov, Yu. A.; Meijer, H. G. E.; Al Hdaibat, B.; Govaerts, W. 14 2014 Numerical computation of bifurcations in large equilibrium systems in Matlab. Zbl 1278.65003 Bindel, D.; Friedman, M.; Govaerts, W.; Hughes, J.; Kuznetsov, Yu. A. 10 2014 Numerical periodic normalization for codim 2 bifurcations of limit cycles: computational formulas, numerical implementation, and examples. Zbl 1284.34049 De Witte, V.; Della Rossa, F.; Govaerts, W.; Kuznetsov, Yu. A. 10 2013 Resonance and bifurcation in a discrete-time predator-prey system with Holling functional response. Zbl 1239.39011 Ghaziani, R. Khoshsiar; Govaerts, Willy J. F.; Sonck, C. 28 2012 Interactive initialization and continuation of homoclinic and heteroclinic orbits in MATLAB. Zbl 1365.65274 De Witte, Virginie; Govaerts, Willy; Kuznetsov, Yuri A.; Friedman, Mark 14 2012 Codimension-two bifurcations of fixed points in a class of discrete prey-predator systems. Zbl 1229.92072 Ghaziani, R. Khoshsiar; Govaerts, W.; Sonck, C. 9 2011 Numerical computation of normal form coefficients of bifurcations of ODEs in Matlab. Zbl 1306.37047 De Witte, Virginie; Govaerts, Willy 1 2011 Computation of normal form coefficients of cycle bifurcations of maps by algorithmic differentiation. Zbl 1203.65049 Pryce, J. D.; Ghaziani, R. Khoshsiar; De Witte, V.; Govaerts, W. 1 2010 Numerical continuation of connecting orbits of maps in MATLAB. Zbl 1171.65093 Ghaziani, R. Khoshsiar; Govaerts, W.; Kuznetsov, Yu. A.; Meijer, H. G. E. 12 2009 New features of the software MatCont for bifurcation analysis of dynamical systems. Zbl 1158.34302 Dhooge, A.; Govaerts, W.; Kuznetsov, Yu. A.; Meijer, H. G. E.; Sautois, B. 170 2008 Stable cycles in a Cournot duopoly model of Kopel. Zbl 1151.91458 Govaerts, W.; Ghaziani, R. Khoshsiar 17 2008 Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs. Zbl 1164.37015 Kuznetsov, Yu. A.; Meijer, H. G. E.; Govaerts, W.; Sautois, B. 7 2008 Numerical methods for two-parameter local bifurcation analysis of maps. Zbl 1155.65397 Govaerts, W.; Ghaziani, R. Khoshsiar; Kuznetsov, Yu. A.; Meijer, H. G. E. 48 2007 Interactive continuation tools. Zbl 1126.65108 Govaerts, Willy; Kuznetsov, Yuri A. 4 2007 Computation of the phase response curve: a direct numerical approach. Zbl 1087.92001 Govaerts, W.; Sautois, B. 19 2006 Numerical bifurcation analysis of a nonlinear stage structured cannibalism population model. Zbl 1108.37057 Govaerts, W.; Ghaziani, R. Khoshsiar 7 2006 Numerical continuation of bifurcations of limit cycles in MATLAB. Zbl 1087.65118 Govaerts, Willy; Kuznetsov, Yuri A.; Dhooge, Annick 23 2005 Numerical periodic normalization for codim 1 bifurcations of limit cycles. Zbl 1103.34025 Kuznetsov, Yu. A.; Govaerts, W.; Doedel, E. J.; Dhooge, A. 10 2005 Numerical continuation of branch points of equilibria and periodic orbits. Zbl 1081.37054 Doedel, E. J.; Govaerts, W.; Kuznetsov, W.; Dhooge, A. 8 2005 MATCONT: Matlab software for bifurcation study of dynamical systems. Zbl 1088.65591 Dhooge, A.; Sautois, B.; Govaerts, W.; Kuznetsov, Yu. A. 5 2005 Continuation of homoclinic orbits in MATLAB. Zbl 1129.65324 Friedman, M.; Govaerts, W.; Kuznetsov, Yu. A.; Sautois, B. 5 2005 Bifurcation analysis of large equilibrium systems in MATLAB. Zbl 1129.65323 Bindel, 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 1086.65538 Dhooge, A.; Govaerts, W.; Kuznetsov, Y. A. 8 2004 MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs. Zbl 1070.65574 Dhooge, A.; Govaerts, W.; Kuznetsov, Yu. A. 379 2003 Computation of periodic solution bifurcations in ODEs using bordered systems. Zbl 1066.65154 Doedel, E. J.; Govaerts, W.; Kuznetsov, Yu. A. 16 2003 Numerical continuation of fold bifurcations of limit cycles in MATCONT. Zbl 1039.65057 Dhooge, Annick; Govaerts, Willy; Kuznetsov, Yuri A. 1 2003 Numerical continuation, and computation of normal forms. Zbl 1034.37048 Beyn, 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 1043.37057 Govaerts, W.; Dhooge, A. 9 2002 Numerical methods for bifurcations of dynamical equilibria. Zbl 0935.37054 Govaerts, Willy J. F. 157 2000 Numerical methods for the generalized Hopf bifurcation. Zbl 0968.65109 Govaerts, W.; Kuznetsov, Yu. A.; Sijnave, B. 8 2000 Numerical bifurcation analysis for ODEs. Zbl 0971.65117 Govaerts, W. 7 2000 Continuation of codimension-2 equilibrium bifurcations in CONTENT. Zbl 0958.65140 Govaerts, W.; Kuznetsov, Yu. A.; Sijnave, B. 1 2000 Numerical detection of symmetry breaking bifurcation points with nonlinear degeneracies. Zbl 0918.65039 Böhmer, Klaus; Govaerts, Willy; Janovský, Vladimír 4 1999 Matrix manifolds and the Jordan structure of the bialternate matrix product. Zbl 0936.15006 Govaerts, W.; Sijnave, B. 2 1999 Bifurcations of maps in the software package CONTENT. Zbl 1072.37515 Govaerts, W.; Kuznetsov, Yu. A.; Sijnave, B. 1 1999 Implementation of Hopf and double-Hopf continuation using bordering methods. Zbl 0934.65140 Govaerts, W.; Kuznetsov, Yu. A.; Sijnave, B. 1 1998 Computation of singularities in large nonlinear systems. Zbl 0874.65041 Govaerts, W. 11 1997 Defining functions for multiple Hopf bifurcations. Zbl 0873.65053 Govaerts, W.; Guckenheimer, J.; Khibnik, A. 10 1997 Defining functions for manifolds of matrices. Zbl 0895.15003 Govaerts, W. 1 1997 Rank-deficient matrices as a computational tool. Zbl 0889.65041 Govaerts, W.; Sijnave, B. 1 1997 Detection of Hopf points by counting sectors in the complex plane. Zbl 0860.65027 Govaerts, W.; Spence, A. 2 1996 Bordered matrices and singularities of large nonlinear systems. Zbl 0887.65053 Govaerts, W. 11 1995 Continuous bordering of matrices and continuous matrix decompositions. Zbl 0829.15007 Govaerts, Willy; Werner, Bodo 1 1995 Solution of bordered singular systems in numerical continuation and bifurcation. Zbl 0806.65023 Govaerts, W. 5 1994 Matrices with rank deficiency two in eigenvalue problems and dynamical systems. Zbl 0814.65038 Chu, K.-W. E.; Govaerts, W.; Spence, A. 1 1994 Mixed block elimination for linear systems with wider borders. Zbl 0778.65017 Govaerts, W.; Pryce, J. D. 16 1993 Computation of Takens–Bogdanov type bifurcations with arbitrary codimension. Zbl 0780.65037 Govaerts, W. 7 1993 Stable solvers and block elimination for bordered systems. Zbl 0736.65015 Govaerts, W. 31 1991 Block elimination with iterative refinement for bordered linear systems. Zbl 0737.65015 Govaerts, W.; Pryce, J. D. 1 1991 Block elimination with one refinement solves bordered linear systems accurately. Zbl 0702.65024 Govaerts, W.; Pryce, J. D. 15 1990 Bordered augmented linear systems in numerical continuation and bifurcation. Zbl 0696.65049 Govaerts, W. 2 1990 A singular value inequality for block matrices. Zbl 0682.15014 Govaerts, W.; Pryce, J. D. 6 1989 Tensor products and spaces of vector-valued continuous functions. Zbl 0601.46064 Defant, Andreas; Govaerts, Willy 14 1986 Nuclear multipliers from \(L_ 1(G)\) into \(L_ p(G)\). Zbl 0637.43004 Crombez, G.; Govaerts, W. 1 1986 The geodesics of Pryce’s relative distance in \({\mathbb{R}}^ 2_{\infty}\). Zbl 0614.65011 Govaerts, W. 1 1986 Bornological and ultrabornological spaces of typ \(C(X,F)\) and \(E \in F\). Zbl 0525.46024 Defant, Andreas; Govaerts, Willy 4 1984 Completely continuous multipliers from \(L_1(G)\) into \(L_\infty(G)\). Zbl 0518.42009 Crombez, G.; Govaerts, W. 2 1984 Locally convex spaces of non-Archimedean valued continuous functions. Zbl 0488.46063 Govaerts, Willy 1 1983 The convolution-induced topology on \(L_\infty\)(G) and linearly dependent translates in \(L_ 1(\)G). Zbl 0486.43001 Crombez, G.; Govaerts, W. 3 1982 Bornological spaces of non-Archimedean valued functions with the compact- open topology. Zbl 0437.46066 Govaerts, W. 3 1980 A productive class of angelic spaces. Zbl 0443.46012 Govaerts, W. 2 1980 Strongly and weakly almost periodic multipliers from \(L_ 1(\)G) to \(L_\infty\)(G). Zbl 0458.43006 Crombez, G.; Govaerts, W. 2 1980 Towards a classification of convolution-type operators from \(\ell_1\) to \(\ell_\infty\). Zbl 0446.47017 Crombez, G.; Govaerts, W. 1 1980 Bornological properties of spaces of non-Archimedean valued functions. Zbl 0456.46066 Govaerts, W. 1 1980 A characterization of certain weak *-closed subalgebras of \(L_\infty (G)\). Zbl 0426.43002 Crombez, G.; Govaerts, W. 2 1979 Bornological spaces of vector-valued continuous functions. Zbl 0431.46026 Govaerts, W. 1 1979 Homomorphisms of weighted algebras of continuous functions. Zbl 0379.46014 Govaerts, W. 7 1978 Compact convolution operators between \(L_p(G)\)-spaces. Zbl 0398.43006 Crombez, G.; Govaerts, W. 4 1978 Weakly compact convolution operators in \(L_1(G)\). Zbl 0379.43004 Crombez, G.; Govaerts, W. 2 1978 Bornological spaces of non-Archimedean valued functions with the point- open topology. Zbl 0368.46027 Govaerts, W. 2 1978 E-compactness and continuous function spaces. Zbl 0405.54009 Govaerts, W. 1 1978 General spaces of continuous functions. Zbl 0426.54011 Govaerts, W. 1 1977 Representation and determination problems: a case study. Zbl 0318.54011 Govaerts, W. 3 1976 A modified notion of E-compactness. Zbl 0321.54012 Govaerts, W. 2 1976 A separation axiom for the study of function space structures. Zbl 0321.54008 Govaerts, W. 2 1976 Structures of continuous functions. Representation of homomorphisms. Zbl 0318.54010 Govaerts, W. 1 1975 all cited Publications top 5 cited Publications all top 5 Cited by 1,651 Authors 29 Govaerts, Willy J. F. 19 Eskandari, Zohreh 18 Kuznetsov, Yuriĭ Aleksandrovich 15 Krauskopf, Bernd 15 Meijer, Hil G. E. 13 Osinga, Hinke Maria 13 Rodríguez-Luis, Alejandro J. 12 Algaba, Antonio 12 Wang, Wendi 11 Chien, Cheng-Sheng 11 Qin, Bo-Wei 10 Avazzadeh, Zakieh 10 Chung, Kwok-Wai 10 Scarabel, Francesca 9 Arancibia-Ibarra, Claudio 9 Chattopadhyay, Joydev 9 Páez Chávez, Joseph Nikolai 9 Sahoo, Banshidhar 9 Siettos, Constantinos I. 8 Aguirre, Pablo 8 Chaudhary, Sudhakar 8 Flores, José D. 8 Gyllenberg, Mats 8 Kühn, Christian 8 Li, Bo 8 Poria, Swarup 8 Samanta, Sudip 7 Campbell, Sue Ann 7 Chang, Shing-Lin 7 Defant, Andreas 7 Hüls, Thorsten 7 Janovský, Vladimír 7 Jiang, Jifa 7 Kevrekidis, Ioannis George 7 Kooi, Bob W. 7 Laing, Carlo R. 7 Shilnikov, Andrey L. 6 Indeĭtsev, Dmitriĭ Anatol’evich 6 Niu, Lei 6 Popov, Ivan A. 6 Russo, Lucia 6 Vermiglio, Rossana 6 Zu, Jian 5 Al-Hdaibat, Bashir 5 Barrio, Roberto 5 Beyn, Wolf-Jürgen 5 Breda, Dimitri 5 Chen, Ke 5 Diekmann, Odo 5 Ghosh, Dibakar 5 González-Olivares, Eduardo 5 He, Qizhi 5 Hu, Dongpo 5 Hussein, Anwar 5 Kazakov, Alexey O. 5 Kim, Sun-Chul 5 Lukin, Alexei V. 5 Mondal, Argha 5 Mondal, Arnab 5 Oubbi, Lahbib 5 Sieber, Jan 5 Srinivas Kumar, V. V. K. 4 Alidousti, Javad 4 Avitabile, Daniele 4 Doedel, Eusebius J. 4 Edelstein-Keshet, Leah 4 Erhardt, André 4 Gaitonde, Ann L. 4 Haller, George 4 Hittmeyer, Stefanie 4 Hurtado-López, Julián 4 Jardón-Kojakhmetov, Hildeberto 4 Jeng, B.-W. 4 Kumar Upadhyay, Ranjit 4 Kuo, Yueh-Cheng 4 Liu, Ming 4 Mazrooei-Sebdani, Reza 4 Naik, Parvaiz Ahmad 4 Okamoto, Hisashi 4 Pal, Nikhil Ranjan 4 Pryce, John D. 4 Pugliese, Andrea 4 Ramirez-Moreno, David Fernando 4 Schnabel, Uwe 4 Schwetlick, Hubert 4 Serrano, Sergio E. 4 Sharma, Sanjeev Kumar 4 Shieh, Shih-Feng 4 Srivastava, Vimal 4 Storace, Marco 4 Takeuchi, Yasuhiro 4 Tiwari, Pankaj Kumar 4 van den Berg, Jan Bouwe 4 van Heijster, Peter 4 Ward, Michael J. 4 Wilkening, Jon A. 4 Zhang, Limin 3 Aguiar, Maíra 3 Bakri, Taoufik 3 Banerjee, Malay ...and 1,551 more Authors all top 5 Cited in 195 Serials 80 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 44 Chaos 42 Communications in Nonlinear Science and Numerical Simulation 38 SIAM Journal on Applied Dynamical Systems 33 Physica D 30 Journal of Theoretical Biology 28 Chaos, Solitons and Fractals 24 Journal of Mathematical Biology 24 Journal of Computational and Applied Mathematics 23 Nonlinear Dynamics 18 Applied Mathematics and Computation 17 Mathematics and Computers in Simulation 14 Bulletin of Mathematical Biology 14 Journal of Computational Neuroscience 14 Journal of Difference Equations and Applications 11 Journal of Mathematical Analysis and Applications 11 Nonlinearity 11 Nonlinear Analysis. Real World Applications 11 International Journal of Biomathematics 11 The Journal of Mathematical Neuroscience 10 Discrete and Continuous Dynamical Systems. Series B 9 Computer Methods in Applied Mechanics and Engineering 9 Journal of Computational Dynamics 8 Journal of Computational Physics 7 Mathematical Biosciences 7 Mathematical Methods in the Applied Sciences 7 Numerical Linear Algebra with Applications 7 Differential Equations and Dynamical Systems 6 Numerische Mathematik 6 Applied Numerical Mathematics 6 Numerical Algorithms 6 Linear Algebra and its Applications 6 Journal of Nonlinear Science 6 Journal of Biological Systems 6 Qualitative Theory of Dynamical Systems 6 Journal of Applied Mathematics and Computing 6 Advances in Difference Equations 5 Biological Cybernetics 5 Computers & Mathematics with Applications 5 Computer Physics Communications 5 Journal of Fluid Mechanics 5 Physics Letters. A 5 Archiv der Mathematik 5 International Journal for Numerical Methods in Engineering 5 Neural Computation 5 Applied Mathematical Modelling 5 Discrete Dynamics in Nature and Society 5 Journal of Biological Dynamics 5 Mathematical Modelling of Natural Phenomena 4 Computers and Fluids 4 Mathematics of Computation 4 BIT 4 Theoretical Population Biology 4 Japan Journal of Industrial and Applied Mathematics 4 SIAM Journal on Applied Mathematics 4 Journal of Dynamics and Differential Equations 4 Computational and Applied Mathematics 4 Complexity 4 Combustion Theory and Modelling 4 Journal of Applied Mathematics 4 Mathematical Biosciences and Engineering 3 Acta Mechanica 3 International Journal of Theoretical Physics 3 Results in Mathematics 3 Ricerche di Matematica 3 Journal of Symbolic Computation 3 Mathematical and Computer Modelling 3 Journal of Scientific Computing 3 Applications of Mathematics 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 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 3 International Journal of Computational Methods 3 Communications in Computational Physics 3 Discrete and Continuous Dynamical Systems. Series S 3 AMM. Applied Mathematics and Mechanics. (English Edition) 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 Applicable Analysis 2 International Journal for Numerical Methods in Fluids 2 Journal of the Franklin Institute 2 Physica A 2 Rocky Mountain Journal of Mathematics 2 ACM Transactions on Mathematical Software 2 Computing 2 Czechoslovak Mathematical Journal 2 Journal of Differential Equations 2 Meccanica 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Stochastic Analysis and Applications 2 Indagationes Mathematicae. 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Terceira Série ...and 95 more Serials all top 5 Cited in 50 Fields 383 Biology and other natural sciences (92-XX) 348 Ordinary differential equations (34-XX) 319 Dynamical systems and ergodic theory (37-XX) 233 Numerical analysis (65-XX) 107 Partial differential equations (35-XX) 56 Mechanics of particles and systems (70-XX) 47 Fluid mechanics (76-XX) 46 Difference and functional equations (39-XX) 42 Mechanics of deformable solids (74-XX) 41 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 35 Functional analysis (46-XX) 34 Systems theory; control (93-XX) 20 Computer science (68-XX) 17 Statistical mechanics, structure of matter (82-XX) 16 Operator theory (47-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 12 Probability theory and stochastic processes (60-XX) 11 Abstract harmonic analysis (43-XX) 9 Classical thermodynamics, heat transfer (80-XX) 9 Quantum theory (81-XX) 8 Topological groups, Lie groups (22-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Optics, electromagnetic theory (78-XX) 6 Real functions (26-XX) 6 Information and communication theory, circuits (94-XX) 5 Integral equations (45-XX) 5 General topology (54-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Statistics (62-XX) 4 Functions of a complex variable (30-XX) 3 Commutative algebra (13-XX) 3 Approximations and expansions (41-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Differential geometry (53-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-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 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Citations by Year