Koen Engelborghs

Mathematics · Physical Sciences

23h-index2.8kcitations54works0.02yr avg
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Research Topics

Numerical methods for differential equations(33), Differential Equations and Numerical Methods(17), Nonlinear Dynamics and Pattern Formation(15), Semiconductor Lasers and Optical Devices(7), Matrix Theory and Algorithms(6)

Publications54 total

DDE-BIFTOOL Manual - Bifurcation analysis of delay differential equations
arXiv (Cornell University)·2014· 72 citedOpen Access
Bifurcation connection between external cavity modes in a semiconductor laser exhibiting low frequency fluctuations
2005
FROM LOCAL TO GLOBAL ONE-DIMENSIONAL UNSTABLE MANIFOLDS IN DELAY DIFFERENTIAL EQUATIONS
2005· 1 cited
One-dimensional unstable eigenfunction and manifold computations in delay differential equations
Journal of Computational Physics·2004· 18 cited
Numerical stability analysis of steady state solutions of integral equations with distributed delays
Applied Numerical Mathematics·2004· 5 cited
Software for Stability and Bifurcation Analysis of Delay Differential Equations and Applications to Stabilization
Lecture notes in computational science and engineering·2004· 7 cited
Computing Stability of Differential Equations with Bounded Distributed Delays
Numerical Algorithms·2003· 36 cited
Numerical stability analysis of equations with bounded distributed delays
2003
DDE-BIFTOOL: a software package for the bifurcation analysis of delay differential equations
2003
COMPUTING FLOQUET MULTIPLIERS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS
International Journal of Bifurcation and Chaos·2002· 30 cited
Bistability and torus break-up in a semiconductor laser with phase-conjugate feedback
Physica D Nonlinear Phenomena·2002· 28 cited
Stability and rupture of bifurcation bridges in semiconductor lasers subject to optical feedback
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002· 74 cited
Numerical Computation of Connecting Orbits in Delay Differential Equations
Numerical Algorithms·2002· 33 cited
Stability of piecewise polynomial collocation for computing periodic solutions of delay differential equations
Numerische Mathematik·2002· 39 cited
Continuous pole placement for delay equations
Automatica·2002· 255 cited
Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
ACM Transactions on Mathematical Software·2002· 716 cited
On Stability of LMS Methods and Characteristic Roots of Delay Differential Equations
SIAM Journal on Numerical Analysis·2002· 119 cited
Bistability and boundary crisis in a semiconductor laser with phase-conjugate feedback
2002· 1 cited
DDE-BIFTOOL, software for bifurcation analysis of delay differential equations: functionality and applications
Hellenic-European Conference on Computer Mathematics and its Applications·2002
DDE-BIFTOOL: a software package for the analysis of delay differential equations
2002
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Frequent Co-authors

Dirk Roose(38), Tatyana Luzyanina(26), Giovanni Samaey(6), Wim Michiels(5), Bart Haegeman(4), D. Pieroux(4), Thomas Erneux(4), Bernd Krauskopf(4), Kurt Lust(3), P. Vansevenant(2), Kirk Green(2), Ioannis G. Kevrekidis(2), Michel Dambrine(1), Karel J. in ’t Hout(1), Vincent Lemaire(1), Jacques Bélair(1), Denis Dochain(1), Jan Sieber(1), T. Erneux(1), Eusebius J. Doedel(1)