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 274 articles , 1 standard article )

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  1. Wei, Junqiang: Numerical optimization method for determination of bifurcation points and its application in stability analysis of power system (2020)
  2. Arancibia-Ibarra, Claudio: The basins of attraction in a modified May-Holling-Tanner predator-prey model with Allee affect (2019)
  3. Arancibia-Ibarra, Claudio; Flores, José D.; Pettet, Graeme; Van Heijster, Peter: A Holling-Tanner predator-prey model with strong Allee effect (2019)
  4. Bel, Andrea; Rotstein, Horacio G.: Membrane potential resonance in non-oscillatory neurons interacts with synaptic connectivity to produce network oscillations (2019)
  5. Conradi, Carsten; Mincheva, Maya; Shiu, Anne: Emergence of oscillations in a mixed-mechanism phosphorylation system (2019)
  6. Davison, Elizabeth N.; Aminzare, Zahra; Dey, Biswadip; Ehrich Leonard, Naomi: Mixed mode oscillations and phase locking in coupled Fitzhugh-Nagumo model neurons (2019)
  7. Getto, Philipp; Gyllenberg, Mats; Nakata, Yukihiko; Scarabel, Francesca: Stability analysis of a state-dependent delay differential equation for cell maturation: analytical and numerical methods (2019)
  8. Goluskin, David; Fantuzzi, Giovanni: Bounds on mean energy in the Kuramoto-Sivashinsky equation computed using semidefinite programming (2019)
  9. Goodman, Roy H.: NLS bifurcations on the bowtie combinatorial graph and the Dumbbell metric graph (2019)
  10. Hajnová, Veronika; Přibylová, Lenka: Bifurcation manifolds in predator-prey models computed by Gröbner basis method (2019)
  11. Hurtado-López, Julián; Ramirez-Moreno, David Fernando: Dynamics of a neural circuit that mediates social and nonsocial behaviors (2019)
  12. Hurtado, Paul J.; Kirosingh, Adam S.: Generalizations of the `linear chain trick’: incorporating more flexible dwell time distributions into mean field ODE models (2019)
  13. Kalia, Manu; Kuznetsov, Yuri A.; Meijer, Hil G. E.: Homoclinic saddle to saddle-focus transitions in 4D systems (2019)
  14. Kuipers, Folkert; Gürsoy, Umut; Kuznetsov, Yuri: Bifurcations in the RG-flow of QCD (2019)
  15. Obatake, Nida; Shiu, Anne; Tang, Xiaoxian; Torres, Angélica: Oscillations and bistability in a model of ERK regulation (2019)
  16. Panday, Pijush; Pal, Nikhil; Samanta, Sudip; Chattopadhyay, Joydev: A three species food chain model with fear induced trophic cascade (2019)
  17. Paquin-Lefebvre, Frédéric; Nagata, Wayne; Ward, Michael J.: Pattern formation and oscillatory dynamics in a two-dimensional coupled bulk-surface reaction-diffusion system (2019)
  18. Pérez, Ángel G. C.; Avila-Vales, Eric; García-Almeida, Gerardo Emilio: Bifurcation analysis of an SIR model with logistic growth, nonlinear incidence, and saturated treatment (2019)
  19. Rani, Reenu; Gakkhar, Sunita: The impact of provision of additional food to predator in predator-prey model with combined harvesting in the presence of toxicity (2019)
  20. Sahoo, Banshidhar; Poria, Swarup: Dynamics of predator-prey system with fading memory (2019)

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