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 327 articles , 1 standard article )

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  1. Allen, Henry R.; Ptashnyk, Mariya: Mathematical modelling of auxin transport in plant tissues: flux meets signalling and growth (2020)
  2. Banerjee, Swarnendu; Sha, Amar; Chattopadhyay, Joydev: Cooperative predation on mutualistic prey communities (2020)
  3. Bosschaert, Maikel M.; Janssens, Sebastiaan G.; Kuznetsov, Yu. A.: Switching to nonhyperbolic cycles from codimension two bifurcations of equilibria of delay differential equations (2020)
  4. Contreras-Julio, Dana; Aguirre, Pablo; Mujica, José; Vasilieva, Olga: Finding strategies to regulate propagation and containment of dengue via invariant manifold analysis (2020)
  5. Drubi, Fátima; Ibáñez, Santiago; Rivela, David: Chaotic behavior in the unfolding of Hopf-Bogdanov-Takens singularities (2020)
  6. Gerlach, Raphael; Ziessler, Adrian; Eckhardt, Bruno; Dellnitz, Michael: A set-oriented path following method for the approximation of parameter dependent attractors (2020)
  7. Hittmeyer, Stefanie; Krauskopf, Bernd; Osinga, Hinke M.: Generalized Mandelbrot and Julia sets in a family of planar angle-doubling maps (2020)
  8. Lakshmi, Mayur V.; Fantuzzi, Giovanni; Fernández-Caballero, Jesús D.; Hwang, Yongyun; Chernyshenko, Sergei I.: Finding extremal periodic orbits with polynomial optimization, with application to a nine-mode model of shear flow (2020)
  9. Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.: High-order analysis of canard explosion in the Brusselator equations (2020)
  10. Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.: High-order analysis of global bifurcations in a codimension-three Takens-Bogdanov singularity in reversible systems (2020)
  11. Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.: Analytical approximation of cuspidal loops using a nonlinear time transformation method (2020)
  12. Rajalakshmi, M.; Ghosh, Mini: Modeling treatment of cancer using oncolytic virotherapy with saturated incidence (2020)
  13. Sahoo, Banshidhar: Dynamical behaviour of an epidemic model with disease in top-predator population only: a bifurcation study (2020)
  14. Sauve, Alix M. C.; Taylor, Rachel A.; Barraquand, Frédéric: The effect of seasonal strength and abruptness on predator-prey dynamics (2020)
  15. Shirani, Farshad: Transient neocortical gamma oscillations induced by neuronal response modulation (2020)
  16. van den Berg, Jan Bouwe; Sheombarsing, Ray: Validated computations for connecting orbits in polynomial vector fields (2020)
  17. Wei, Junqiang: Numerical optimization method for determination of bifurcation points and its application in stability analysis of power system (2020)
  18. Xu, Yifang; Krause, Andrew L.; Van Gorder, Robert A.: Generalist predator dynamics under Kolmogorov versus non-Kolmogorov models (2020)
  19. Zaytseva, Sofya; Shi, Junping; Shaw, Leah B.: Model of pattern formation in marsh ecosystems with nonlocal interactions (2020)
  20. Alcorta, Roberto; Baguet, Sebastien; Prabel, Benoit; Piteau, Philippe; Jacquet-Richardet, Georges: Period doubling bifurcation analysis and isolated sub-harmonic resonances in an oscillator with asymmetric clearances (2019)

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