# Dde-biftool: a Matlab Package for Bifurcation Analysis of Delay Diierential Equations Dde-biftool: a Matlab Package for Bifurcation Analysis of Delay Diierential Equations

@inproceedings{Engelborghs2000DdebiftoolAM, title={Dde-biftool: a Matlab Package for Bifurcation Analysis of Delay Diierential Equations Dde-biftool: a Matlab Package for Bifurcation Analysis of Delay Diierential Equations}, author={Koen Engelborghs}, year={2000} }

DDE-BIFTOOL is a collection of Matlab routines for numerical bifurcation analysis of systems of delay diierential equations with several xed, discrete delays. The package allows to compute, continue and analyse stability of steady state solutions and periodic solutions. It further allows to compute and continue steady state fold and Hopf bifurcations and to switch, from the latter, to an emanating branch of periodic solutions. To analyse the stability of steady state solutions, approximations…

## 4 Citations

### Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL

- MathematicsTOMS
- 2002

DDE-BIFTOOL, a Matlab package for numerical bifurcation analysis of systems of delay differential equations with several fixed, discrete delays, is described and its usage and capabilities are illustrated through analysing three examples.

### Numerical Bifurcation Analysis of Diierential Equations with State-dependent Delay Numerical Bifurcation Analysis of Diierential Equations with State-dependent Delay

- Mathematics, Computer Science
- 2010

The results presented show that numerical bifurcation analysis of differential equations with state-dependent delay can be successfully achieved.

### Thermoacoustic instability – a dynamical system and time domain analysis

- PhysicsJournal of Fluid Mechanics
- 2014

Abstract This study focuses on the Rijke tube problem, which includes features relevant to the modelling of thermoacoustic coupling in reactive flows: a compact acoustic source, an empirical model…

### Continuous pole placement for delay equations 1

- Mathematics
- 2002

In this paper, we describe a stabilization method for linear time-delay systems which extends the classical pole placement method for ordinary di7erential equations. Unlike methods based on :nite…

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