DDE-BIFTOOL v. 2.00: a Matlab package for bifurcation analysis of delay differential equations
By Koen Engelborghs, Tatyana Luzyanina, Giovanni Samaey. 2001
480 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/6efc0186fa825b1a75780cea811aea7954ccb4ab
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Citations in the corpus
- Collocation schemes for periodic solutions of neutral delay differential equations (2006, methodology): “The well-known continuation software AUTO [18] uses collocation as standard, as does CONTENT [19], COLSYS (and its variants) [20], DDEBIFTOOL [15] and PDDE-CONT [16].”
- Bifurcations and multiple traffic jams in a car-following model with reaction-time delay (2005, methodology): “Our principal tool is the numerical continuation package DDE-BIFTOOL [11, 12 ] which is able to follow branches of equilibria and periodic solutions of DDE systems as parameters are changed.”
- Extending the permissible control loop latency for the controlled inverted pendulum (2005, background): “1 Introduction Latency in the feedback loop is often a critical issue in balancing tasks in robotics and biomechanics (Garcia, et al. 2000, Moss & Milton 2003). For example, Cabrera & Milton (2002) reported on stick-balancing experiments that show how reflex time plays a crucial role in human balanc”
- Criticality of Hopf bifurcation in state-dependent delay model of turning processes (2008, methodology): “The diagrams were determined using the software package DDE-BIFTOOL (see, [ 34 ,35]).”
- Diffusive spatial movement with memory and maturation delays (2019, unknown): “Here, all these crossing curves are plotted with the aid of DDE-BIFTOOL, a MatLab package for numerical bifurcation and stability analysis of delay differential equations with several discrete and/or state-dependent delays, see [7].”
- Small-Signal Stability Analysis of Large Power Systems With Inclusion of Multiple Delays (2016, methodology): “plemented in the open-source software tool DDE-BIFTOOL [30];”