MATCONT

MATCONT: Matlab software for bifurcation study of dynamical systems. The study of differential equations requires good and powerful mathematical software. Also, flexibility and extendibility of the package are important. However, most of the existing software all have their own way of specifying the system or are written in a relatively low-level programming language, so it is hard to extend it. In 2000, A. Riet started the implementation of a continuation toolbox in Matlab. The aim of this toolbox was to provide an interactive environment for the continuation and normal form analysis of dynamical systems. In 2002, the toolbox was extended and improved by W. Mestrom. This toolbox was the base of the toolbox we further developed and extended with a GUI and named MATCONT. It contains some features which were never implemented before: continuation of branch points in three parameters, the universal use of minimally extended systems, and the computation of normal form coefficients for bifurcations of limit cycles. The software is free for download at http://www.matcont.UGent.be.


References in zbMATH (referenced in 204 articles , 1 standard article )

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  1. Berec, Luděk; Janoušková, Eva; Theuer, Michal: Sexually transmitted infections and mate-finding Allee effects (2017)
  2. Dutta, Partha Sharathi; Kooi, Bob W.; Feudel, Ulrike: The impact of a predator on the outcome of competition in the three-trophic food web (2017)
  3. Flores, José D.; González-Olivares, Eduardo: A modified Leslie-Gower predator-prey model with ratio-dependent functional response and alternative food for the predator (2017)
  4. Jiang, Jifa; Niu, Lei: On the equivalent classification of three-dimensional competitive Leslie/Gower models via the boundary dynamics on the carrying simplex (2017)
  5. Liu, Sensen; Ching, Shinung: Homeostatic dynamics, hysteresis and synchronization in a low-dimensional model of burst suppression (2017)
  6. Pájaro, Manuel; Alonso, Antonio A.; Otero-Muras, Irene; Vázquez, Carlos: Stochastic modeling and numerical simulation of gene regulatory networks with protein bursting (2017)
  7. Ravigné, Virginie; Lemesle, Valérie; Walter, Alicia; Mailleret, Ludovic; Hamelin, Frédéric M.: Mate limitation in fungal plant parasites can lead to cyclic epidemics in perennial host populations (2017)
  8. Renson, Ludovic; Barton, David A.W.; Neild, Simon A.: Experimental tracking of limit-point bifurcations and backbone curves using control-based continuation (2017)
  9. Sahoo, Bamadev; Panda, L.N.; Pohit, G.: Stability, bifurcation and chaos of a traveling viscoelastic beam tuned to 3:1 internal resonance and subjected to parametric excitation (2017)
  10. Tzou, J.C.; Xie, S.; Kolokolnikov, T.; Ward, M.J.: The stability and slow dynamics of localized spot patterns for the 3-D Schnakenberg reaction-diffusion model (2017)
  11. Wang, Jing; Lu, Bo; Liu, Shenquan; Jiang, Xiaofang: Bursting types and bifurcation analysis in the pre-Bötzinger complex respiratory rhythm neuron (2017)
  12. Wang, Wendi; Fu, Rui; Shu, Mengshi: A bacteriophage model based on CRISPR/Cas immune system in a chemostat (2017)
  13. Al-Hdaibat, B.; Govaerts, W.; Kuznetsov, Yu.A.; Meijer, H.G.E.: Initialization of homoclinic solutions near Bogdanov-Takens points: Lindstedt-Poincaré compared with regular perturbation method (2016)
  14. Ashwin, Peter; Coombes, Stephen; Nicks, Rachel: Mathematical frameworks for oscillatory network dynamics in neuroscience (2016)
  15. Boie, Sebastian; Kirk, Vivien; Sneyd, James; Wechselberger, Martin: Effects of quasi-steady-state reduction on biophysical models with oscillations (2016)
  16. Breda, D.; Diekmann, O.; Gyllenberg, M.; Scarabel, F.; Vermiglio, R.: Pseudospectral discretization of nonlinear delay equations: new prospects for numerical bifurcation analysis (2016)
  17. Buffoni, G.; Groppi, M.; Soresina, C.: Dynamics of predator-prey models with a strong Allee effect on the prey and predator-dependent trophic functions (2016)
  18. de Blank, H.J.; Kuznetsov, Yu.A.; Pekkér, M.J.; Veldman, D.W.M.: Degenerate Bogdanov-Takens bifurcations in a one-dimensional transport model of a fusion plasma (2016)
  19. Krauskopf, Bernd; Osinga, Hinke M.: A codimension-four singularity with potential for action (2016)
  20. Linaro, Daniele; Storace, Marco: BAL: a library for the \itbrute-force analysis of dynamical systems (2016)

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