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 442 articles , 1 standard article )

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  1. Church, Kevin E. M.; Lessard, Jean-Philippe: Rigorous verification of Hopf bifurcations in functional differential equations of mixed type (2022)
  2. Engel, Maximilian; Kuehn, Christian; Petrera, Matteo; Suris, Yuri: Discretized fast-slow systems with canards in two dimensions (2022)
  3. Erhardt, André H.; Solem, Susanne: Bifurcation analysis of a modified cardiac cell model (2022)
  4. Fu, Shuaiming; Luo, Jianfeng; Zhao, Yi: Stability and bifurcations analysis in an ecoepidemic system with prey group defense and two infectious routes (2022)
  5. Liu, Ming; Meng, Fanwei; Hu, Dongpo: Bogdanov-Takens and Hopf bifurcations analysis of a genetic regulatory network (2022)
  6. Liu, Yunfei; Qin, Zhaoye; Chu, Fulei: Investigation of magneto-electro-thermo-mechanical loads on nonlinear forced vibrations of composite cylindrical shells (2022)
  7. Mondal, Arnab; Upadhyay, Ranjit Kumar; Mondal, Argha; Sharma, Sanjeev Kumar: Emergence of Turing patterns and dynamic visualization in excitable neuron model (2022)
  8. Ridgway, Wesley; Ward, Michael J.; Wetton, Brian T.: Quorum-sensing induced transitions between bistable steady-states for a cell-bulk ODE-PDE model with lux intracellular kinetics (2022)
  9. Tay, Chai Jian; Mohd, Mohd Hafiz; Teh, Su Yean; Koh, Hock Lye: Internal phosphorus recycling promotes rich and complex dynamics in an algae-phosphorus model: implications for eutrophication management (2022)
  10. Uecker, Hannes: Continuation and bifurcation in nonlinear PDEs - algorithms, applications, and experiments (2022)
  11. Al-Darabsah, Isam; Campbell, Sue Ann: M-current induced Bogdanov-Takens bifurcation and switching of neuron excitability class (2021)
  12. Al-Salman, Ahd Mahmoud; Páez Chávez, Joseph; Wijaya, Karunia Putra: A modeling study of predator-prey interaction propounding honest signals and cues (2021)
  13. Amuzescu, Bogdan; Airini, Razvan; Epureanu, Florin Bogdan; Mann, Stefan A.; Knott, Thomas; Radu, Beatrice Mihaela: Evolution of mathematical models of cardiomyocyte electrophysiology (2021)
  14. Arancibia-Ibarra, Claudio; Aguirre, Pablo; Flores, José; van Heijster, Peter: Bifurcation analysis of a predator-prey model with predator intraspecific interactions and ratio-dependent functional response (2021)
  15. Arancibia-Ibarra, Claudio; Bode, Michael; Flores, José; Pettet, Graeme; van Heijster, Peter: Turing patterns in a diffusive Holling-Tanner predator-prey model with an alternative food source for the predator (2021)
  16. Arancibia-Ibarra, Claudio; Flores, José: Dynamics of a Leslie-Gower predator-prey model with Holling type II functional response, Allee effect and a generalist predator (2021)
  17. Arancibia-Ibarra, Claudio; Flores, José; Bode, Michael; Pettet, Graeme; van Heijster, Peter: A modified May-Holling-Tanner predator-prey model with multiple allee effects on the prey and an alternative food source for the predator (2021)
  18. Atabaigi, Ali: Canard explosion, homoclinic and heteroclinic orbits in singularly perturbed generalist predator-prey systems (2021)
  19. Bakhanova, Y. V.; Bobrovsky, A. A.; Burdygina, T. K.; Malykh, S. M.: On the organization of homoclinic bifurcation curves in systems with Shilnikov spiral attractors (2021)
  20. Bates, Savannah; Hutson, Hayley; Rebaza, Jorge: Global stability of Zika virus dynamics (2021)

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