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 376 articles , 1 standard article )

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  1. 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)
  2. Gerlach, Raphael; Ziessler, Adrian; Eckhardt, Bruno; Dellnitz, Michael: A set-oriented path following method for the approximation of parameter dependent attractors (2020)
  3. Gomes, S. N.; Pavliotis, G. A.; Vaes, U.: Mean field limits for interacting diffusions with colored noise: phase transitions and spectral numerical methods (2020)
  4. Gyllenberg, Mats; Jiang, Jifa; Niu, Lei: Chaotic attractors in the four-dimensional Leslie-Gower competition model (2020)
  5. Hebbink, Jurgen; van Gils, Stephan A.; Meijer, Hil G. E.: On analysis of inputs triggering large nonlinear neural responses slow-fast dynamics in the wendling neural mass model (2020)
  6. Hittmeyer, Stefanie; Krauskopf, Bernd; Osinga, Hinke M.: Generalized Mandelbrot and Julia sets in a family of planar angle-doubling maps (2020)
  7. Karličić, Danilo; Cajić, Milan; Paunović, Stepa; Adhikari, Sondipon: Nonlinear energy harvester with coupled Duffing oscillators (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. Malec, Lukáš; Janovský, Vladimír: Connecting the multivariate partial least squares with canonical analysis: a path-following approach (2020)
  10. Malykh, Semyon; Bakhanova, Yuliya; Kazakov, Alexey; Pusuluri, Krishna; Shilnikov, Andrey: Homoclinic chaos in the Rössler model (2020)
  11. Mazrooei-Sebdani, Reza; Eskandari, Zohreh: Numerical detection and analysis of strong resonance bifurcations with a reflection symmetry and some applications in economics and neural networks (2020)
  12. Nurtay, Anel; Hennessy, Matthew G.; Alsedà, Lluís; Elena, Santiago F.; Sardanyés, Josep: Host-virus evolutionary dynamics with specialist and generalist infection strategies: bifurcations, bistability, and chaos (2020)
  13. Páez Chávez, Joseph; Zhang, Zhi; Liu, Yang: A numerical approach for the bifurcation analysis of nonsmooth delay equations (2020)
  14. Panday, Pijush; Samanta, Sudip; Pal, Nikhil; Chattopadhyay, Joydev: Delay induced multiple stability switch and chaos in a predator-prey model with fear effect (2020)
  15. Pazó, Diego; Gallego, Rafael: The winfree model with non-infinitesimal phase-response curve: Ott-Antonsen theory (2020)
  16. Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.: Analytical approximation of cuspidal loops using a nonlinear time transformation method (2020)
  17. 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)
  18. Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.: High-order analysis of canard explosion in the Brusselator equations (2020)
  19. Rajalakshmi, M.; Ghosh, Mini: Modeling treatment of cancer using oncolytic virotherapy with saturated incidence (2020)
  20. Sahoo, Banshidhar: Dynamical behaviour of an epidemic model with disease in top-predator population only: a bifurcation study (2020)

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