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 367 articles , 1 standard article )

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  1. Coletti, Roberta; Pugliese, Andrea; Marchetti, Luca: Modeling the effect of immunotherapies on human castration-resistant prostate cancer (2021)
  2. Erhardt, André H.; Solem, Susanne: On complex dynamics in a Purkinje and a ventricular cardiac cell model (2021)
  3. Jardón-Kojakhmetov, Hildeberto; Kuehn, Christian; Pugliese, Andrea; Sensi, Mattia: A geometric analysis of the SIR, SIRS and SIRWS epidemiological models (2021)
  4. Mazzoleni, Stefano; Russo, Lucia; Giannino, Francesco; Toraldo, Gerardo; Siettos, Constantinos: Mathematical modelling and numerical bifurcation analysis of inbreeding and interdisciplinarity dynamics in academia (2021)
  5. Pusuluri, Krishna; Meijer, H. G. E.; Shilnikov, A. L.: (INVITED) Homoclinic puzzles and chaos in a nonlinear laser model (2021)
  6. Zhang, Wenjing; Yu, Pei: Revealing the role of the effector-regulatory T cell loop on autoimmune disease symptoms via nonlinear analysis (2021)
  7. Acampora, Luigi; Marra, Francesco S.: Numerical algorithms for the parametric continuation of stiff ODEs deriving from the modeling of combustion with detailed chemical mechanisms (2020)
  8. Algaba, Antonio; Chung, Kwok-Wai; Qin, Bo-Wei; Rodríguez-Luis, Alejandro J.: Computation of all the coefficients for the global connections in the (\mathbbZ_2)-symmetric Takens-Bogdanov normal forms (2020)
  9. Allen, Henry R.; Ptashnyk, Mariya: Mathematical modelling of auxin transport in plant tissues: flux meets signalling and growth (2020)
  10. Andò, Alessia; Breda, Dimitri: Collocation techniques for structured populations modeled by delay equations (2020)
  11. Andò, Alessia; Breda, Dimitri; Scarabel, Francesca: Numerical continuation and delay equations: a novel approach for complex models of structured populations (2020)
  12. Antwi-Fordjour, Kwadwo; Parshad, Rana D.; Beauregard, Matthew A.: Dynamics of a predator-prey model with generalized Holling type functional response and mutual interference (2020)
  13. Banerjee, Swarnendu; Sha, Amar; Chattopadhyay, Joydev: Cooperative predation on mutualistic prey communities (2020)
  14. Bosschaert, Maikel M.; Janssens, Sebastiaan G.; Kuznetsov, Yu. A.: Switching to nonhyperbolic cycles from codimension two bifurcations of equilibria of delay differential equations (2020)
  15. Contreras-Julio, Dana; Aguirre, Pablo; Mujica, José; Vasilieva, Olga: Finding strategies to regulate propagation and containment of dengue via invariant manifold analysis (2020)
  16. Diekmann, Odo; Scarabel, Francesca; Vermiglio, Rossana: Pseudospectral discretization of delay differential equations in sun-star formulation: results and conjectures (2020)
  17. Drubi, Fátima; Ibáñez, Santiago; Rivela, David: Chaotic behavior in the unfolding of Hopf-Bogdanov-Takens singularities (2020)
  18. Erhardt, André H.; Mardal, Kent-Andre; Schreiner, Jakob E.: Dynamics of a neuron-glia system: the occurrence of seizures and the influence of electroconvulsive stimuli. A mathematical and numerical study (2020)
  19. Gerlach, Raphael; Ziessler, Adrian; Eckhardt, Bruno; Dellnitz, Michael: A set-oriented path following method for the approximation of parameter dependent attractors (2020)
  20. Gomes, S. N.; Pavliotis, G. A.; Vaes, U.: Mean field limits for interacting diffusions with colored noise: phase transitions and spectral numerical methods (2020)

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