Yuri A. Kuznetsov

SIAM J. Appl. Dyn. Syst., March, 2024

Interplay between Normal Forms and Center Manifold Reduction for Homoclinic Predictors near Bogdanov-Takens Bifurcation.

[BibT_eX]

[DOI]

Maikel M. Bosschaert

SIAM J. Appl. Dyn. Syst., March, 2024

2023

Periodic Center Manifolds for Nonhyperbolic Limit Cycles in ODEs.

[BibT_eX]

[DOI]

Bram Lentjes

Mattias Windmolders

Int. J. Bifurc. Chaos, December, 2023

2021

Bifurcations of Heteroclinic Contours in Two-Parameter Planar Systems: Overview and Explicit Examples.

[BibT_eX]

[DOI]

Joost Hooyman

Int. J. Bifurc. Chaos, 2021

2020

Switching to Nonhyperbolic Cycles from Codimension Two Bifurcations of Equilibria of Delay Differential Equations.

[BibT_eX]

[DOI]

Maikel M. Bosschaert

Sebastiaan G. Janssens

SIAM J. Appl. Dyn. Syst., 2020

2018

Numerical Bifurcation Analysis of Homoclinic Orbits Embedded in One-Dimensional Manifolds of Maps.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2018

2017

Approximate static condensation algorithm for solving multi-material diffusion problems on meshes non-aligned with material interfaces.

[BibT_eX]

[DOI]

J. Comput. Phys., 2017

2016

Initialization of Homoclinic Solutions near Bogdanov-Takens Points: Lindstedt-Poincaré Compared with Regular Perturbation Method.

[BibT_eX]

[DOI]

SIAM J. Appl. Dyn. Syst., 2016

2015

Accurate Approximation of Homoclinic Solutions in Gray-Scott Kinetic Model.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2015

2014

Numerical computation of bifurcations in large equilibrium systems in matlab.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2014

Improved Homoclinic Predictor for Bogdanov-Takens Bifurcation.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2014

2013

Numerical Periodic Normalization for Codim 2 Bifurcations of Limit Cycles: Computational Formulas, Numerical Implementation, and Examples.

[BibT_eX]

[DOI]

SIAM J. Appl. Dyn. Syst., 2013

Guaranteed lower bounds of the smallest eigenvalues of elliptic differential operators.

[BibT_eX]

[DOI]

Sergey I. Repin

J. Num. Math., 2013

2012

Interactive Initialization and Continuation of Homoclinic and Heteroclinic Orbits in MATLAB.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2012

Multiple solutions of a Generalized singular perturbed Bratu Problem.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2012

2011

Two Degenerate Boundary Equilibrium Bifurcations in Planar Filippov Systems.

[BibT_eX]

[DOI]

SIAM J. Appl. Dyn. Syst., 2011

Approximations with piece-wise constant fluxes for diffusion equations.

[BibT_eX]

[DOI]

J. Num. Math., 2011

2009

Preconditioned iterative methods for algebraic saddle-point problems.

[BibT_eX]

[DOI]

J. Num. Math., 2009

Preface.

[BibT_eX]

[DOI]

Ronald H. W. Hoppe

J. Num. Math., 2009

Continuation of Connecting orbits in 3D-ODES (II) : Cycle-to-Cycle Connections.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2009

2008

An event-driven method to simulate Filippov systems with accurate computing of sliding motions.

[BibT_eX]

[DOI]

Petri T. Piiroinen

ACM Trans. Math. Softw., 2008

Neimark-Sacker bifurcation.

[BibT_eX]

[DOI]

Robert Sacker

Scholarpedia, 2008

Saddle-node bifurcation for maps.

[BibT_eX]

[DOI]

Scholarpedia, 2008

Hopf-Hopf bifurcation.

[BibT_eX]

[DOI]

Scholarpedia, 2008

Continuation of Connecting orbits in 3D-ODES (I): Point-to-Cycle Connections.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2008

2007

Numerical Methods for Two-Parameter Local Bifurcation Analysis of Maps.

[BibT_eX]

[DOI]

R. Khoshsiar Ghaziani

SIAM J. Sci. Comput., 2007

Conjugate maps.

[BibT_eX]

[DOI]

Scholarpedia, 2007

Fold-Hopf bifurcation.

[BibT_eX]

[DOI]

Scholarpedia, 2007

Bautin bifurcation.

[BibT_eX]

[DOI]

Scholarpedia, 2007

Cusp bifurcation.

[BibT_eX]

[DOI]

Scholarpedia, 2007

Bogdanov-Takens bifurcation.

[BibT_eX]

[DOI]

Scholarpedia, 2007

2006

Multiparametric Bifurcation Analysis of a Basic Two-Stage Population Model.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2006

Andronov-Hopf bifurcation.

[BibT_eX]

[DOI]

Scholarpedia, 2006

Saddle-node bifurcation.

[BibT_eX]

[DOI]

Scholarpedia, 2006

MATCONT.

[BibT_eX]

[DOI]

Bart Sautois

Scholarpedia, 2006

Mixed finite element method for diffusion equations on polygonal meshes with mixed cells.

[BibT_eX]

[DOI]

J. Num. Math., 2006

Two-Parameter Discontinuity-Induced bifurcations of Limit Cycles: Classification and Open Problems.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2006

2005

SlideCont: An auto97 driver for bifurcation analysis of filippov systems.

[BibT_eX]

[DOI]

Fabio Dercole

ACM Trans. Math. Softw., 2005

Numerical Normal Forms for Codim 2 Bifurcations of Fixed Points with at Most Two Critical Eigenvalues.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2005

Numerical Continuation of Bifurcations of Limit Cycles in MATLAB.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2005

Numerical Periodic Normalization for Codim 1 Bifurcations of Limit Cycles.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2005

Generalized Hénon Map and Bifurcations of Homoclinic Tangencies.

[BibT_eX]

[DOI]

V. S. Gonchenko

SIAM J. Appl. Dyn. Syst., 2005

Convergence analysis and error estimates for mixed finite element method on distorted meshes.

[BibT_eX]

[DOI]

Sergey I. Repin

J. Num. Math., 2005

Practical Computation of Normal Forms on Center Manifolds at degenerate Bogdanov-takens bifurcations.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2005

Numerical Continuation of Branch Points of Equilibria and Periodic orbits.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2005

Continuation of Homoclinic Orbits in Matlab.

[BibT_eX]

[DOI]

Proceedings of the Computational Science, 2005

Bifurcation Analysis of Large Equilibrium Systems in Matlab.

[BibT_eX]

[DOI]

Proceedings of the Computational Science, 2005

2004

The fold-flip bifurcation.

[BibT_eX]

[DOI]

Lennaert van Veen

Int. J. Bifurc. Chaos, 2004

Numerical Continuation of Branch Points of Limit Cycles in MATCONT.

[BibT_eX]

[DOI]

Proceedings of the Computational Science, 2004

2003

MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2003

Computation of Periodic Solution Bifurcations in ODEs Using Bordered Systems.

[BibT_eX]

[DOI]

Eusebius J. Doedel

SIAM J. Numer. Anal., 2003

Spectrally equivalent preconditioners for mixed hybrid discretizations of diffusion equations on distorted meshes.

[BibT_eX]

[DOI]

J. Num. Math., 2003

One-Parameter bifurcations in Planar Filippov Systems.

[BibT_eX]

[DOI]

Sergio Rinaldi

Alessandra Gragnani

Int. J. Bifurc. Chaos, 2003

Cl_matcont: A Continuation Toolbox in Matlab.

[BibT_eX]

[DOI]

Proceedings of the 2003 ACM Symposium on Applied Computing (SAC), 2003

Numerical Continuation of Fold Bifurcations of Limit Cycles in MATCONT.

[BibT_eX]

[DOI]

Proceedings of the Computational Science - ICCS 2003, 2003

2002

Fast separable solver for mixed finite element methods and applications.

[BibT_eX]

[DOI]

Konstantin Lipnikov

J. Num. Math., 2002

2001

Belyakov Homoclinic Bifurcations in a Tritrophic Food Chain Model.

[BibT_eX]

[DOI]

Oscar De Feo

Sergio Rinaldi

SIAM J. Appl. Math., 2001

Overlapping Domain Decomposition methods with distributed Lagrange multipliers.

[BibT_eX]

[DOI]

Ronald H. W. Hoppe

J. Num. Math., 2001

2000

A Parallel Schwarz Method for a Convection-Diffusion Problem.

[BibT_eX]

[DOI]

Marc Garbey

Yuri V. Vassilevski

SIAM J. Sci. Comput., 2000

Numerical Methods for the Generalized Hopf Bifurcation.

[BibT_eX]

[DOI]

B. Sijnave

SIAM J. Numer. Anal., 2000

1999

Bifurcations of Maps in the Software Package CONTENT.

[BibT_eX]

[DOI]

B. Sijnave

Proceedings of the Second Workshop on Computer Algebra in Scientific Computing, 1999

1998

Implementation of Hopf and Double-Hopf Continuation Using Bordering Methods.

[BibT_eX]

[DOI]

B. Sijnave

ACM Trans. Math. Softw., 1998

1996

Multilevel Preconditioners for Mixed Methods for Second Order Elliptic Problems.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 1996

1995

Editorial.

[BibT_eX]

[DOI]

Owe Axelsson

Numer. Linear Algebra Appl., 1995

1994

Bifurcations and chaos in a periodically forced prototype adaptive control system.

[BibT_eX]

[DOI]