Research Explorer

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Researcher

Willy Govaerts

Publications & Research Data

Awards & Distinctions

117 Results

2026

Attractivity of the disease-free subspace in epidemic models

Willy GovaertsMarnix Van Daele

A1 Journal Article in COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

2022

Bifurcation analysis of a predator-prey system with density dependent disease recovery

Ankur Jyoti KashyapWilly GovaertsDebasish BhattacharjeeHemanta Kumar Sarmah

A1 Journal Article in FILOMAT

2021

Bistability and stabilization of human visual perception under ambiguous stimulation

Willy GovaertsYuri A. KuznetsovHil G. E. MeijerNiels NeirynckRichard van Wezel

A1 Journal Article in NONLINEAR DYNAMICS PSYCHOLOGY AND LIFE SCIENCES

2020

A bifurcation approach to bistability and stabilization in human visual perception

Willy GovaertsYuri A. KuznetsovHil G.E. MeijerNiels NeirynckRichard van Wezel

Local bifurcation and continuation of a non-linear hydro-turbine governing system in a single-machine infinite-bus power system

Jingjing ZhangBeibei XuDiyi ChenHuanhuan LiMd Apel MahmudWilly Govaerts

A1 Journal Article in IET GENERATION TRANSMISSION & DISTRIBUTION

Sensitivity analysis and low frequency oscillations for bifurcation scenarios in a hydraulic generating system

Jingjing ZhangApel MahmudWilly GovaertsDiyi ChenBeibei XuHualin Xiong

A1 Journal Article in RENEWABLE ENERGY

2019

Advances in numerical bifurcation software : MatCont

Niels NeirynckMarnix Van DaeleHGE MeijerWilly Govaerts

2018

Numerical bifurcation analysis of homoclinic orbits embedded in one-dimensional manifolds of maps

Niels NeirynckWilly GovaertsYuri A KuznetsovHil GE Meijer

A1 Journal Article in ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE

Remarks on homoclinic structure in Bogdanov-Takens map

B Al-HdaibatWilly GovaertsDL van KekemYuA Kuznetsov

A1 Journal Article in JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS

2016

Initialization of homoclinic solutions near Bogdanov-Takens points : Lindstedt-Poincaré compared with regular perturbation method

Bashir Al-HdaibatWilly GovaertsYuri A KuznetsovHil GE Meijer

A1 Journal Article in SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Structured population models with internal cell cycle

Charlotte SonckWilly GovaertsMarkus Kirkilionis

Using MatContM in the study of a nonlinear map in economics

Niels NeirynckBashir Al-HdaibatWilly GovaertsYuri A KuznetsovHil GE Meijer

2015

Accurate approximation of homoclinic solutions in Gray–Scott kinetic model

Yuri A KuznetsovHil GE MeijerBashir Al-HdaibatWilly Govaerts

A1 Journal Article in INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Chaos and periodic solutions in a dynamic monopoly model

Bashir Al-HdaibatWilly GovaertsNiels Neirynck

Computational dynamical systems analysis : Bogdanov-Takens points and an economic model

Bashir Al-HdaibatWilly GovaertsYuri Kuznetsov

New asymptotics of homoclinic orbits near Bogdanov-Takens bifurcation point

Bashir Al-HdaibatWilly GovaertsYuri KuznetsovHil Meijer

On periodic and chaotic behavior in a two-dimensional monopoly model

Bashir Al-HdaibatWilly GovaertsNiels Neirynck

A1 Journal Article in CHAOS SOLITONS & FRACTALS

Stability analysis rabies model in animals with the effect of vaccination and sterilization

Eti D WiraningsihWilly Govaerts- WidodoL AryatiS Toaha

A2 Journal Article in INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS

2014

Analysis of bifurcations of limit cycles with Lyapunov exponents and numerical normal forms

Virginie De WitteWilly GovaertsYuri A KuznetsovHil GE Meijer

A1 Journal Article in PHYSICA D-NONLINEAR PHENOMENA

Computational study of a budding yeast model of Tyson and Novák

Willy GovaertsCharlotte Sonck

A1 Journal Article in MATHEMATICS AND COMPUTERS IN SIMULATION

Improved homoclinic predictor for Bogdanov–Takens bifurcation

Yu A KuznetsovHGE MeijerBashir Al-HdaibatWilly Govaerts

A1 Journal Article in INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Numerical computation of bifurcations in large equilibrium systems in Matlab

D BindelM FriedmanWilly GovaertsJ HughesYuri A Kuznetsov

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Practical initialization of homoclinic orbits from a Bogdanov-Takens point

Bashir Al-HdaibatWilly GovaertsYuri KuznetsovHil Meijer

WOX5-IAA17 feedback circuit-mediated cellular auxin response is crucial for the patterning of root stem cell niches in Arabidopsis

Huiyu TianKrzysztof WabnikTiantian NiuHanbing LiQianqian YuStephan PollmannSteffen VannesteWilly GovaertsJakub RolcikMarkus Geisler et al.

A1 Journal Article in MOLECULAR PLANT

2013

Computational analysis of bifurcations of periodic orbits

Virginie De WitteWilly GovaertsYuri A Kuznetsov

Numerical periodic normalization for codim 2 bifurcations of limit cycles : computational formulas, numerical implementation, and examples

Virginie De WitteFabio Della RossaWilly GovaertsYuri A Kuznetsov

A1 Journal Article in SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

2012

Interactive initialization and continuation of homoclinic and heteroclinic orbis in MATLAB

Virginie De WitteWilly GovaertsYuri KuznetsovMark Friedman

A1 Journal Article in ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE

Resonance and bifurcation in a discrete-time predator-prey system with Holling functional response

Reza Khoshsiar GhazianiWilly GovaertsCharlotte Sonck

A1 Journal Article in NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

2011

A study of resonance tongues near a Chenciner bifurcation using MatContM

Willy GovaertsYuri A KuznetsovHil GE MeijerNiels Neirynck

Codimension-two bifurcations of fixed points in a class of discrete prey-predator systems

Reza Khoshsiar GhazianiWilly GovaertsCharlotte Sonck

A1 Journal Article in DISCRETE DYNAMICS IN NATURE AND SOCIETY

Feedback models for polarized auxin transport : an emerging trend

Krzysztof WabnikWilly GovaertsJiri FrimlJürgen Kleine-Vehn

A1 Journal Article in MOLECULAR BIOSYSTEMS

Model-based analysis of arabidopsis leaf epidermal cells reveals distinct division and expansion patterns for pavement and guard cells

Leila Kheibarshekan AslStijn DhondtVéronique BoudolfGerrit BeemsterTom BeeckmanDirk InzéWilly GovaertsLieven De Veylder

A1 Journal Article in PLANT PHYSIOLOGY

Modeling auxin feedback signaling for polarized auxin transport in plant development

Krzysztof WabnikWilly GovaertsJiri Friml

Numerical computation of normal form coefficients of ODEs in MATLAB

Virginie De WitteWilly Govaerts

Prototype cell-to-cell auxin transport mechanism by intracellular auxin compartmentalization

Krzysztof WabnikJürgen Kleine-VehnWilly GovaertsJiri Friml

A1 Journal Article in TRENDS IN PLANT SCIENCE

Recycling, clustering, and endocytosis jointly maintain PIN auxin carrier polarity at the plasma membrane

Jürgen Kleine-VehnKrzysztof WabnikAlexandre MartinièreLukasz LangowskiKatrin WilligSatoshi NaramotoJohannes LeitnerHirokazu TanakaStefan JakobsStephanie Robert et al.

A1 Journal Article in MOLECULAR SYSTEMS BIOLOGY

2010

Computation of normal form coefficients of cycle bifurcations of maps by algorithmic differentiation

John D PryceReza Khoshsiar GhazianiVirginie De WitteWilly Govaerts

A1 Journal Article in MATHEMATICS AND COMPUTERS IN SIMULATION

Convergence analysis of a numerical method to solve the adjoint linearized periodic orbit equations

Virginie De WitteWilly Govaerts

A1 Journal Article in APPLIED NUMERICAL MATHEMATICS

Emergence of tissue polarization form synergy of intracellular and extracellular auxin signaling

Krzysztof WabnikJürgen Kleine-VehnJozef BallaMichael SauerSatoshi NaramotoVilem ReinoehlRoeland MerksWilly GovaertsJiri Friml

A1 Journal Article in MOLECULAR SYSTEMS BIOLOGY

Numerical implementation of a homotopy method for computing homoclinic and heteroclinic orbits

Virginie De WitteWilly GovaertsYuri A Kuznetsov

Using MatCont in a two-parameter bifurcation study of models for cell cycle controls

Willy GovaertsVirginie De WitteLeila Kheibarshekan Asl

2009

Numerical continuation of connecting orbits of maps in MATLAB

RK GhazianiWilly GovaertsYA KuznetsovHGE Meijer

A1 Journal Article in JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS

2008

Atypical E2F activity restrains APC/C-CCS52A2 function obligatory for endocycle onset

Tim LammensVéronique BoudolfLeila Kheibarshekan AslL Panagiotis ZalmasTarik GaamoucheSara MaesMarleen VanstraelenEva KondorosiNicholas B La ThangueWilly Govaerts et al.

A1 Journal Article in PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

New features of the software MatCont for bifurcation analysis of dynamical systems

Annick DhoogeWilly GovaertsYA KUZNETSOVHGE MEIJERBart Sautois

A1 Journal Article in MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS

Stable cycles in a Cournot duopoly model of Kopel

Willy GovaertsRK GHAZIANI

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs

YA KUZNETSOVHGE MEIJERWilly GovaertsB SAUTOISC

A1 Journal Article in PHYSICA D-NONLINEAR PHENOMENA

2007

Interactive continuation tools.

Willy GovaertsY KUZNETSOV

Bookchapter in Numerical continuation methods for dynamical systems.

Numerical methods for two-parameter local bifurcation analysis of maps

Willy GovaertsRK GHAZIANIYA KUZNETSOVHGE MEIJER

A1 Journal Article in SIAM JOURNAL ON SCIENTIFIC COMPUTING

2006

Computation of the phase response curve: A direct numerical approach

Willy GovaertsBart Sautois

A1 Journal Article in NEURAL COMPUTATION

Laudatio Guido Vanden Berghe

Willy GovaertsY KUZNETSOVBart Sautois

A4 Journal Article in Scholarpedia

Numerical bifurcation analysis of a nonlinear stage structured cannibalism population model

Willy GovaertsRK GHAZIANI

A1 Journal Article in JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS

Numerical continuation of branch points of equilibria and periodic orbits

E DOEDELWilly GovaertsY KUZNETSOVA DHOOGE

Bookchapter in Modeling and Computations in Dynamical Systems

Phase response curves, delays and synchronization in Matlab

Willy GovaertsBart Sautois

A1 Journal Article in COMPUTATIONAL SCIENCE - ICCS 2006, PT 2, PROCEEDINGS

2005

Bifurcation analysis of large equilibrium systems in MATLAB

DS BINDELJW DEMMELMJ FRIEDMANWilly GovaertsYA KUZNETSOV

A1 Journal Article in COMPUTATIONAL SCIENCE - ICCS 2005, PT 1, PROCEEDINGS

Bifurcation software in Matlab with applications in neuronal modeling

Willy GovaertsBart Sautois

A1 Journal Article in COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE

Continuation of homoclinic orbits in MATLAB

M FRIEDMANWilly GovaertsYA KUZNETSOVBart Sautois

A1 Journal Article in COMPUTATIONAL SCIENCE - ICCS 2005, PT 1, PROCEEDINGS

MatCont: Matlab Software for Bifurcation Study of Dynamical Systems

Annick DhoogeBart SautoisWilly GovaertsY KUZNETSOV

Numerical continuation of bifurcations of limit cycles in MATLAB

Willy GovaertsYA KUZNETSOVAnnick Dhooge

A1 Journal Article in SIAM JOURNAL ON SCIENTIFIC COMPUTING

Numerical continuation of branch points of equilibria and periodic orbits

EJ DOEDELWilly GovaertsYA KUZNETSOVAnnick Dhooge

A1 Journal Article in INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Numerical continuation of fixed points of maps in Cl_MatCont

Willy GovaertsR Khoshsiar Ghaziani

Numerical periodic normalization for codim 1 bifurcations of limit cycles

YA KUZNETSOVWilly GovaertsEJ DOEDELAnnick Dhooge

A1 Journal Article in SIAM JOURNAL ON NUMERICAL ANALYSIS

The onset and extinction of neural spiking: A numerical bifurcation approach

Willy GovaertsBart Sautois

A1 Journal Article in JOURNAL OF COMPUTATIONAL NEUROSCIENCE

2004

Numerical continuation of branch points of limit cycles in MATCONT

Annick DhoogeWilly GovaertsYA KUZNETSOV

A1 Journal Article in COMPUTATIONAL SCIENCE - ICCS 2004, PT 2, PROCEEDINGS

2003

Bifurcations of periodic solutions of ODEs using bordered systems

Annick DhoogeWilly GovaertsY KUZNETSOV

Bookchapter in Proceedings of the international conference on numerical analysis and computational mathematics

Cl_MatCont: A continuation toolbox in Matlab

Willy GovaertsAnnick DhoogeY KUZNETSOVW MESTROMA RIET

Bookchapter in Proceedings of the 2003 ACM Symposium on Applied Computing

Computation of periodic solution bifurcations in odes using bordered systems

EJ DOEDELWilly GovaertsYA KUZNETSOV

A1 Journal Article in SIAM JOURNAL ON NUMERICAL ANALYSIS

MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs

Annick DhoogeWilly GovaertsYA KUZNETSOV

A1 Journal Article in ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE

Numerical continuation of fold bifurcations of limit cycles in MATCONT

Annick DhoogeWilly GovaertsYA KUZNETSOV

A1 Journal Article in COMPUTATIONAL SCIENCE - ICCS 2003, PT I, PROCEEDINGS

2002

Bifurcation, bursting and spike generation in a neural model

Willy GovaertsAnnick Dhooge

A1 Journal Article in INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Dynamical systems software packages, Encyclopaedia of Mathematics.

Bookchapter in Encyclopaedia of Mathematics: Supplement III / Michiel Hazewinkel, Kluwer Academic Publishers 2002. - ISBN 1402001983

Numerical continuation, and computation of normal forms.

WJ BEYNA CHAMPNEYSE DOEDELA KUZNETSOV YUWilly GovaertsB SANDSTEDE

Bookchapter in Handbook of Dynamical Systems, Vol 2 / B. Fiedler (edit.), Elsevier, 2002, Chapter 4. - ISBN 0-444-50168-1

2001

A two-parameter study of the neuron model of Plant

Willy GovaertsAnnick Dhooge

Linear algebra software packages.

Bookchapter in Encyclopaedia of Mathematics: Supplement II / Michiel Hazewinkel, Kluwer Academic Publishers 2002. - ISBN 0-7923-6114-8

Numerical study of bifurcation phenomena in nerve cells

2000

Continuation of codimension -2 equilibrium bifurcations in CONTENT.

Willy GovaertsA KUZNETSOV YURIBart Sijnave

Bookchapter in Numerical Methods for bifurcation problems and large-scale dynamical systems

Continuation of codimension-2 equilibrium bifurcations in content

Willy GovaertsY KUZNETSOVBart Sijnave

Numerical bifurcation analysis for ODEs

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Numerical methods for bifurcations of dynamical equilibria

Numerical methods for the generalized Hopf bifurcation.

Willy GovaertsYA KUZNETSOVBart Sijnave

A1 Journal Article in SIAM JOURNAL ON NUMERICAL ANALYSIS

1999

Bifurcations of maps in the software package CONTENT

Willy GovaertsYA KUZNETSOVBart Sijnave

Matrix manifolds and the Jordan structure of the bialternate matrix product.

Willy GovaertsBart Sijnave

A1 Journal Article in LINEAR ALGEBRA AND ITS APPLICATIONS

Numerical detection of symmetry-breaking bifurcation points with nonlinear degeneracies

K BohmerWilly GovaertsV Janovsky

A1 Journal Article in MATHEMATICS OF COMPUTATION

1998

Implementation of Hopf and double-Hopf continuation using bordering methods.

Willy GovaertsYA KUZNETSOVBart Sijnave

A1 Journal Article in ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE

1997

Computation of singularities in large nonlinear systems.

A1 Journal Article in SIAM JOURNAL ON NUMERICAL ANALYSIS

Defining functions for manifolds of matrices.

A1 Journal Article in LINEAR ALGEBRA AND ITS APPLICATIONS

Defining functions for multiple Hopf bifurcations.

Willy GovaertsJ GUCKENHEIMERA KHIBNIK

A1 Journal Article in SIAM JOURNAL ON NUMERICAL ANALYSIS

Numerical classification of singularities.

A1 Journal Article in ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK

Rank-deficient matrices as a computational tool.

Willy GovaertsBart Sijnave

A1 Journal Article in NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

1996

Detection of Hopf points by counting sectors in the complex plane.

Willy GovaertsA SPENCE

A1 Journal Article in NUMERISCHE MATHEMATIK

1995

Bordered matrices and singularities of large nonlinear systems.

A1 Journal Article in INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Continuous bordering of matrices and Continuous matrix decompositions.

Willy GovaertsB WERNER

A1 Journal Article in NUMERISCHE MATHEMATIK

1994

Matrices with rank deficiency 2 in eigenvalue problems and dynamical-systems.

KWE CHUWilly GovaertsA SPENCE

A1 Journal Article in SIAM JOURNAL ON NUMERICAL ANALYSIS

Solution of bordered singular systems in numerical continuation and bifurcation.

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

1993

COMPUTATION OF TAKENS-BOGDANOV TYPE BIFURCATIONS WITH ARBITRARY CODIMENSION.

A1 Journal Article in SIAM JOURNAL ON NUMERICAL ANALYSIS

MIXED BLOCK ELIMINATION FOR LINEAR-SYSTEMS WITH WIDER BORDERS.

Willy GovaertsJD PRYCE

A1 Journal Article in IMA JOURNAL OF NUMERICAL ANALYSIS

1991

Stable solvers and block elimination for bordered systems

A1 Journal Article in SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

1990

Block elimination with one refinement solves bordered linear-systems accurately

Willy GovaertsJD PRYCE

A1 Journal Article in BIT

Bordered augmented linear-systems in numerical continuation and bifurcation

A1 Journal Article in NUMERISCHE MATHEMATIK

1989

A singular value inequality for block matrices

Willy GovaertsJD PRYCE

A1 Journal Article in LINEAR ALGEBRA AND ITS APPLICATIONS

The relative distance of Pryce, J.D. in R3-infinity

A1 Journal Article in JOURNAL OF APPROXIMATION THEORY

1987

Duality properties of spaces of non-Archimedean valued functions

A1 Journal Article in JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS

1986

Tensor-products and spaces of vector-valued continuous-functions

A DEFANTWilly Govaerts

A1 Journal Article in MANUSCRIPTA MATHEMATICA

The geodesics of Pryce relative distance in R-Infinity-2

A1 Journal Article in SIAM JOURNAL ON NUMERICAL ANALYSIS

1984

Bornological and ultrabornological spaces of type-C(X,F) and E-epsilon-F

A DEFANTWilly Govaerts

A1 Journal Article in MATHEMATISCHE ANNALEN

Completely continuous multipliers from L1(G) into L-infinity-(G)

Gilbert CrombezWilly Govaerts

A1 Journal Article in ANNALES DE L INSTITUT FOURIER

1983

Locally convex-spaces of non-Archimedean valued continuous-functions

A1 Journal Article in PACIFIC JOURNAL OF MATHEMATICS

1980

A productive class of angelic spaces

A1 Journal Article in JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES

Bornological-spaces of non-archimedean valued functions with the compact-open topology

A1 Journal Article in PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

1979

Characterization of certain weak-closed sub-algebras of L-infinity-(G)

Gilbert CrombezWilly Govaerts

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Decomposition of universal function-spaces

A1 Journal Article in ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE

1978

Bornological spaces of non-Archimedean valued functions with point-open topology

A1 Journal Article in PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

E-compactness and continuous function-spaces

A1 Journal Article in ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE

1977

Class of compact spaces is productive and closed hereditary

A1 Journal Article in PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

1976

Modified notion of e-compactness

A1 Journal Article in BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES

Representation and determination problems : case-study

A1 Journal Article in BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES

Separation axiom for study of function space structures

A1 Journal Article in BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES