W. Govaerts

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All published works
Action Title Year Authors
+ PDF Chat Bifurcation analysis of a predator-prey system with density dependent disease recovery 2022 Ankur Jyoti Kashyap
W. Govaerts
Debasish Bhattacharjee
Hemanta Kumar Sarmah
+ Numerical Bifurcation Analysis of Homoclinic Orbits Embedded in One-Dimensional Manifolds of Maps 2018 Niels Neirynck
W. Govaerts
Yuri A. Kuznetsov
Hil G. E. Meijer
+ PDF Chat Remarks on homoclinic structure in Bogdanov-Takens map 2017 Bashir Al-Hdaibat
W. Govaerts
Dirk L. van Kekem
Yuri A. Kuznetsov
+ Homoclinic orbits embedded in one-dimensional invariant manifolds of maps 2017 Niels Neirynck
W. Govaerts
Yuri A. Kuznetsov
Hil G. E. Meijer
+ New asymptotics of homoclinic orbits near Bogdanov-Takens bifurcation point 2015 Bashir Al-Hdaibat
W. Govaerts
Yuri A. Kuznetsov
Hil G. E. Meijer
+ Improved Homoclinic Predictor for Bogdanov–Takens Bifurcation 2014 Yuri A. Kuznetsov
Hil G. E. Meijer
Bashir Al-Hdaibat
W. Govaerts
+ PDF Chat Numerical Periodic Normalization for Codim 2 Bifurcations of Limit Cycles: Computational Formulas, Numerical Implementation, and Examples 2013 Virginie De Witte
Fabio Della Rossa
W. Govaerts
Yuri A. Kuznetsov
+ Interactive Initialization and Continuation of Homoclinic and Heteroclinic Orbits in MATLAB 2012 Virginie De Witte
W. Govaerts
Yuri A. Kuznetsov
Mark J. Friedman
+ Numerical periodic normalization for codim 2 bifurcations of limit cycles with center manifold of dimension higher than 3 2012 Virginie De Witte
W. Govaerts
Yuri A. Kuznetsov
Hil G. E. Meijer
+ Numerical Periodic Normalization for Codim 2 Bifurcations of Limit Cycles 2011 Fabio Della Rossa
Virginie De Witte
W. Govaerts
Yuri A. Kuznetsov
+ PDF Chat Codimension-Two Bifurcations of Fixed Points in a Class of Discrete Prey-Predator Systems 2011 Reza Khoshsiar Ghaziani
W. Govaerts
Charlotte Sonck
+ Numerical computation of normal form coefficients of bifurcations of odes in MATLAB 2011 Virginie De Witte
W. Govaerts
+ PDF Chat Computation of normal form coefficients of cycle bifurcations of maps by algorithmic differentiation 2010 John D. Pryce
Reza Khoshsiar Ghaziani
Virginie De Witte
W. Govaerts
+ Numerical implementation of a homotopy method for computing homoclinic and heteroclinic orbits 2010 Virginie De Witte
W. Govaerts
Yuri A. Kuznetsov
+ Numerical continuation of connecting orbits of maps in MATLAB 2009 Reza Khoshsiar Ghaziani
W. Govaerts
Yuri A. Kuznetsov
Hil G. E. Meijer
+ Using MatCont in a Two-Parameter Bifurcation Study of Models for Cell Cycle Controls 2009 W. Govaerts
Virginie De Witte
Leila Kheibarshekan
+ Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs 2008 Yuri A. Kuznetsov
Hil G. E. Meijer
W. Govaerts
Bart Sautois
+ PDF Chat Numerical Methods for Two-Parameter Local Bifurcation Analysis of Maps 2007 W. Govaerts
Reza Khoshsiar Ghaziani
Yuri A. Kuznetsov
Hil G. E. Meijer
+ NUMERICAL CONTINUATION OF BRANCH POINTS OF EQUILIBRIA AND PERIODIC ORBITS 2006 Eusebius J. Doedel
W. Govaerts
Yuri A. Kuznetsov
Annick Dhooge
+ NUMERICAL CONTINUATION OF BRANCH POINTS OF EQUILIBRIA AND PERIODIC ORBITS 2005 Eusebius J. Doedel
W. Govaerts
Yuri A. Kuznetsov
Annick Dhooge
+ PDF Chat Bifurcation Analysis of Large Equilibrium Systems in Matlab 2005 David Bindel
James Demmel
Mark J. Friedman
W. Govaerts
Yuri A. Kuznetsov
+ PDF Chat Numerical Periodic Normalization for Codim 1 Bifurcations of Limit Cycles 2005 Yuri A. Kuznetsov
W. Govaerts
Eusebius J. Doedel
Annick Dhooge
+ PDF Chat Numerical Continuation of Bifurcations of Limit Cycles in MATLAB 2005 W. Govaerts
Yuri A. Kuznetsov
Annick Dhooge
+ Numerical continuation of fixed points of maps in Cl_MatCont 2005 W. Govaerts
Reza Khoshsiar Ghaziani
+ MATCONT 2004 Annick Dhooge
W. Govaerts
Yuri A. Kuznetsov
+ MATCONT 2003 Annick Dhooge
W. Govaerts
Yuri A. Kuznetsov
+ Cl_matcont 2003 Annick Dhooge
W. Govaerts
Yuri A. Kuznetsov
W. Mestrom
A. M. Riet
+ PDF Chat Numerical Continuation of Fold Bifurcations of Limit Cycles in MATCONT 2003 Annick Dhooge
W. Govaerts
Yuri A. Kuznetsov
+ PDF Chat Computation of Periodic Solution Bifurcations in ODEs Using Bordered Systems 2003 Eusebius J. Doedel
W. Govaerts
Yuri A. Kuznetsov
+ Bifurcations of periodic solutions of ODEs using bordered systems 2003 Annick Dhooge
W. Govaerts
Yuri A. Kuznetsov
+ Cl_matcont 2003 Annick Dhooge
W. Govaerts
Yuri A. Kuznetsov
W. Mestrom
A. M. Riet
+ Numerical Continuation, and Computation of Normal Forms 2002 Wolf‐Jürgen Beyn
Alan R. Champneys
Eusebius J. Doedel
W. Govaerts
Yuri A. Kuznetsov
Björn Sandstede
+ Numerical bifurcation analysis for ODEs 2000 W. Govaerts
+ Numerical Methods for Bifurcations of Dynamical Equilibria 2000 W. Govaerts
+ 5. Bifurcations Determined by the Jordan Form of the Jacobian 2000 W. Govaerts
+ 8. Symmetry-Breaking Bifurcations 2000 W. Govaerts
+ 9. Bifurcations with Degeneracies in the Nonlinear Terms 2000 W. Govaerts
+ 7. Singularity Theory with a Distinguished Bifurcation Parameter 2000 W. Govaerts
+ Matrix manifolds and the Jordan structure of the bialternate matrix product 1999 W. Govaerts
Bart Sijnave
+ PDF Chat Numerical detection of symmetry breaking bifurcation points with nonlinear degeneracies 1999 Klaus Böhmer
W. Govaerts
Vladimír Janovský
+ Defining functions for manifolds of matrices 1997 W. Govaerts
+ Computation of Singularities in Large Nonlinear Systems 1997 W. Govaerts
+ Continuous bordering of matrices and continuous matrix decompositions 1995 W. Govaerts
Bodo Werner
+ BORDERED MATRICES AND SINGULARITIES OF LARGE NONLINEAR SYSTEMS 1995 W. Govaerts
+ Solution of bordered singular systems in numerical continuation and bifurcation 1994 W. Govaerts
+ Matrices with Rank Deficiency Two in Eigenvalue Problems and Dynamical Systems 1994 Kaiwei Chu
W. Govaerts
A. Spence
+ Mixed block elimination for linear systems with wider borders 1993 W. Govaerts
J. D. PRYCE
+ PDF Chat Stable Solvers and Block Elimination for Bordered Systems 1991 W. Govaerts
+ Block Elimination with Iterative Refinement for Bordered Linear Systems 1991 W. Govaerts
John D. Pryce
+ Bordered augmented linear systems in numerical continuation and bifurcation 1990 W. Govaerts
+ Block elimination with one refinement solves bordered linear systems accurately 1990 W. Govaerts
John D. Pryce
+ Block Elimination and the Computation of Simple Turning Points 1990 W. Govaerts
+ A singular value inequality for block matrices 1989 W. Govaerts
John D. Pryce
+ The relative distance of J. D. Pryce in R∞3 1989 W. Govaerts
+ PDF Chat Duality properties of spaces of non-Archimedean valued functions 1987 W. Govaerts
+ PDF Chat An alternative to Chan's deflation for bordered systems 1987 W. Govaerts
John D. Pryce
+ The Geodesics of Pryce’s Relative Distance in $\mathbb{R}_\infty ^2 $ 1986 W. Govaerts
+ Tensor products and spaces of vector-valued continuous functions 1986 Andreas Defant
W. Govaerts
+ Bornological and ultrabornological spaces of typeC(X, F) andE?F 1984 Andreas Defant
W. Govaerts
+ PDF Chat Completely continuous multipliers from $L_1(G)$ into $L_\infty(G)$ 1984 G. Crombez
W. Govaerts
+ PDF Chat Locally convex spaces of non-Archimedean valued continuous functions 1983 W. Govaerts
+ PDF Chat The convolution‐induced topology on <i>L</i><sub><i>∞</i></sub>(<i>G</i>) and linearly dependent translates in <i>L</i><sub>1</sub>(<i>G</i>) 1981 G. Crombez
W. Govaerts
+ PDF Chat Bornological properties of spaces of non-Archimedean valued functions 1980 W. Govaerts
+ PDF Chat Towards a Classification of Convolution-Type Operators From l1 to l∞ 1980 G. Crombez
W. Govaerts
+ PDF Chat Bornological spaces of non-Archimedean valued functions with the compact-open topology 1980 W. Govaerts
+ Bornological Spaces of Non-Archimedean Valued Functions with the Compact- Open Topology 1980 W. Govaerts
+ A characterization of certain weak∗-closed subalgebras of L∞(G) 1979 G. Crombez
W. Govaerts
+ Decomposition of universal function spaces 1979 W. Govaerts
+ PDF Chat Homomorphisms of weighted algebras of continuous functions 1978 W. Govaerts
+ PDF Chat Bornological Spaces of Non-Archimedean Valued Functions with the Point-Open Topology 1978 W. Govaerts
+ E-compactness and continuous function spaces 1978 W. Govaerts
+ PDF Chat Bornological spaces of non-Archimedean valued functions with the point-open topology 1978 W. Govaerts
+ PDF Chat Compact convolution operators between $L_p(G)$-spaces 1978 G. Crombez
W. Govaerts
+ The Class of Compact ∗ Spaces is Productive and Closed Hereditary 1977 W. Govaerts
+ PDF Chat The class of compact* spaces is productive and closed hereditary 1977 W. Govaerts
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Elements of Applied Bifurcation Theory 2004 Yuri A. Kuznetsov
16
+ Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields 1983 John Guckenheimer
Philip Holmes
13
+ Numerical Methods for Bifurcations of Dynamical Equilibria 2000 W. Govaerts
13
+ MATCONT 2003 Annick Dhooge
W. Govaerts
Yuri A. Kuznetsov
12
+ Numerical Continuation, and Computation of Normal Forms 2002 Wolf‐Jürgen Beyn
Alan R. Champneys
Eusebius J. Doedel
W. Govaerts
Yuri A. Kuznetsov
Björn Sandstede
12
+ Collocation at Gaussian Points 1973 Carl de Boor
Blair Swartz
10
+ Characterization and Computation of Generalized Turning Points 1984 Andreas Griewank
G. W. Reddien
8
+ Numerical analysis of parametrized nonlinear equations 1986 Werner C. Rheinboldt
8
+ PDF Chat Numerical Methods for Two-Parameter Local Bifurcation Analysis of Maps 2007 W. Govaerts
Reza Khoshsiar Ghaziani
Yuri A. Kuznetsov
Hil G. E. Meijer
7
+ PDF Chat Computation of Periodic Solution Bifurcations in ODEs Using Bordered Systems 2003 Eusebius J. Doedel
W. Govaerts
Yuri A. Kuznetsov
7
+ Elements of applied bifurcation theory (2nd ed.) 1998 Yuri A. Kuznetsov
7
+ Geometrical Methods in the Theory of Ordinary Differential Equations 1988 V. I. Arnold
6
+ Cl_matcont 2003 Annick Dhooge
W. Govaerts
Yuri A. Kuznetsov
W. Mestrom
A. M. Riet
6
+ NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (II): BIFURCATION IN INFINITE DIMENSIONS 1991 Eusebius J. Doedel
Herbert B. Keller
Jean Pierre Kernevez
6
+ Deflation Techniques and Block-Elimination Algorithms for Solving Bordered Singular Systems 1984 Tony F. Chan
6
+ Computation of cusp singularities for operator equations and their discretizations 1989 Andreas Griewank
G. W. Reddien
6
+ PDF Chat Geometrical Methods in the Theory of Ordinary Differential Equations 1983 Vladimir I. Arnold
5
+ PDF Chat Numerical Continuation Methods--An Introduction. 1992 Layne T. Watson
Eugene L. Allgower
Kurt Georg
5
+ Generalized Deflated Block-Elimination 1986 Tony F. Chan
Diana C. Resasco
5
+ Some Remarks on the Deflated Block Elimination Method 1987 Gerald Moore
5
+ Mixed block elimination for linear systems with wider borders 1993 W. Govaerts
J. D. PRYCE
5
+ NUMERICAL SOLUTION OF BIFURCATION AND NONLINEAR EIGENVALUE PROBLEMS. 1977 H. B. Keller
5
+ A singular value inequality for block matrices 1989 W. Govaerts
John D. Pryce
5
+ Numerical Continuation Methods 1990 Eugene L. Allgower
Kurt Georg
5
+ The Calculation of Turning Points of Nonlinear Equations 1980 Gerald Moore
A. Spence
5
+ PDF Chat Numerical Normal Forms for Codim 2 Bifurcations of Fixed Points with at Most Two Critical Eigenvalues 2005 Yuri A. Kuznetsov
Hil G. E. Meijer
5
+ Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps 1993 Alexander I. Khibnik
Yuri A. Kuznetsov
Victor V. Levitin
Evgeni V. Nikolaev
4
+ PDF Chat Numerical Methods for Dynamical Systems 1991 Wolf-J iirgen Beyn
4
+ Adaptive Mesh Selection Strategies for Solving Boundary Value Problems 1978 Robert D. Russell
J. Christiansen
4
+ Numerical Solution of Boundary Value Problems for Ordinary Differential Equations 1995 Uri M. Ascher
Robert M. M. Mattheij
Robert D. Russell
4
+ The Numerical Computation of Homoclinic Orbits for Maps 1997 Wolf‐Jürgen Beyn
Jan-Martin Kleinkauf
4
+ PDF Chat Rings of continuous functions with values in a topological field 1975 George Bachman
Edward Beckenstein
Lawrence Narici
Seth Warner
4
+ PDF Chat Computing Periodic Orbits and their Bifurcations with Automatic Differentiation 2000 John Guckenheimer
Brian Meloon
4
+ PDF Chat Further results on E-compact spaces. I 1968 S. Mrówka
4
+ Numerical path following 1997 Eugene L. Allgower
Kurt Georg
4
+ Block elimination with one refinement solves bordered linear systems accurately 1990 W. Govaerts
John D. Pryce
4
+ NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS 1991 Eusebius J. Doedel
Herbert B. Keller
Jean Pierre Kernevez
4
+ Singular Points and their Computation 1984 Allan D. Jepson
A. Spence
4
+ PDF Chat A collocation solver for mixed order systems of boundary value problems 1979 Uri M. Ascher
J. Christiansen
Robert D. Russell
4
+ PDF Chat Numerical analysis of homoclinic orbits emanating from a Takens-Bogdanov point 1994 Wolf‐Jürgen Beyn
4
+ PDF Chat The Bordering Algorithm and Path Following Near Singular Points of Higher Nullity 1983 Herbert B. Keller
4
+ Numerical Methods for Bifurcation Problems 1984 Tassilo Küpper
Hans D. Mittelmann
Hans Weber
4
+ Numerical continuation of connecting orbits of maps in MATLAB 2009 Reza Khoshsiar Ghaziani
W. Govaerts
Yuri A. Kuznetsov
Hil G. E. Meijer
3
+ Versal deformations of a singular point of a vector field on the plane in the case of zero eigenvalues 1975 Р. И. Богданов
3
+ Multiplicative Error Analysis of Matrix Transformation Algorithms 1985 John D. Pryce
3
+ Computing One-Dimensional Stable Manifolds and Stable Sets of Planar Maps without the Inverse 2004 J. P. England
Bernd Krauskopf
Hinke M. Osinga
3
+ Folds in Solutions of Two Parameter Systems and Their Calculation. Part I 1985 Allan Jepson
A. Spence
3
+ Continuation of invariant subspaces 2001 Luca Dieci
Mark J. Friedman
3
+ Singularities and Groups in Bifurcation Theory 1988 Martin Golubitsky
Ian Stewart
David G. Schaeffer
3
+ On the computation of characteristic multipliers for predicting limit cycle bifurcations 1998 G. Torrini
R. Genesio
A. Tesi
3