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 402 articles , 1 standard article )

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  1. Al-Darabsah, Isam; Campbell, Sue Ann: M-current induced Bogdanov-Takens bifurcation and switching of neuron excitability class (2021)
  2. 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)
  3. 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)
  4. Atabaigi, Ali: Canard explosion, homoclinic and heteroclinic orbits in singularly perturbed generalist predator-prey systems (2021)
  5. 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)
  6. Coletti, Roberta; Pugliese, Andrea; Marchetti, Luca: Modeling the effect of immunotherapies on human castration-resistant prostate cancer (2021)
  7. Collins, J. B.; Hauenstein, Jonathan D.: A singular value homotopy for finding critical parameter values (2021)
  8. de Wolff, B. A. J.; Scarabel, F.; Verduyn Lunel, S. M.; Diekmann, O.: Pseudospectral approximation of Hopf bifurcation for delay differential equations (2021)
  9. Erhardt, André H.; Solem, Susanne: On complex dynamics in a Purkinje and a ventricular cardiac cell model (2021)
  10. Goldsztein, Guillermo H.; Nadeau, Alice N.; Strogatz, Steven H.: Synchronization of clocks and metronomes: a perturbation analysis based on multiple timescales (2021)
  11. Gonzalez Herrero, Maria Elena; Kuehn, Christian: A qualitative mathematical model of the immune response under the effect of stress (2021)
  12. Hetebrij, Wouter; Mireles James, J. D.: Critical homoclinics in a restricted four-body problem: numerical continuation and center manifold computations (2021)
  13. Jardón-Kojakhmetov, Hildeberto; Kuehn, Christian; Pugliese, Andrea; Sensi, Mattia: A geometric analysis of the SIR, SIRS and SIRWS epidemiological models (2021)
  14. Jüttner, Benjamin; Henriksen, Christian; Martens, Erik A.: Birth and destruction of collective oscillations in a network of two populations of coupled type 1 neurons (2021)
  15. Liu, Yue; Rens, Elisabeth G.; Edelstein-Keshet, Leah: Spots, stripes, and spiral waves in models for static and motile cells. GTPase patterns in cells (2021)
  16. Mazzoleni, Stefano; Russo, Lucia; Giannino, Francesco; Toraldo, Gerardo; Siettos, Constantinos: Mathematical modelling and numerical bifurcation analysis of inbreeding and interdisciplinarity dynamics in academia (2021)
  17. Panday, Pijush; Pal, Nikhil; Samanta, Sudip; Tryjanowski, Piotr; Chattopadhyay, Joydev: Dynamics of a stage-structured predator-prey model: cost and benefit of fear-induced group defense (2021)
  18. Pusuluri, Krishna; Meijer, H. G. E.; Shilnikov, A. L.: (INVITED) Homoclinic puzzles and chaos in a nonlinear laser model (2021)
  19. Qin, B. W.; Chung, K. W.; Algaba, A.; Rodríguez-Luis, A. J.: High-order approximation of heteroclinic bifurcations in truncated 2D-normal forms for the generic cases of Hopf-zero and nonresonant double Hopf singularities (2021)
  20. Sander, Evelyn; Wanner, Thomas: Equilibrium validation in models for pattern formation based on Sobolev embeddings (2021)

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