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. Sauve, Alix M. C.; Taylor, Rachel A.; Barraquand, Frédéric: The effect of seasonal strength and abruptness on predator-prey dynamics (2020)
  2. Shirani, Farshad: Transient neocortical gamma oscillations induced by neuronal response modulation (2020)
  3. van den Berg, Jan Bouwe; Sheombarsing, Ray: Validated computations for connecting orbits in polynomial vector fields (2020)
  4. Wei, Junqiang: Numerical optimization method for determination of bifurcation points and its application in stability analysis of power system (2020)
  5. Xu, Yifang; Krause, Andrew L.; Van Gorder, Robert A.: Generalist predator dynamics under Kolmogorov versus non-Kolmogorov models (2020)
  6. Yang, Zhongtao; Yang, Cuihong; Dong, Yueping; Takeuchi, Yasuhiro: Mathematical modelling of the inhibitory role of regulatory T cells in tumor immune response (2020)
  7. Zaytseva, Sofya; Shi, Junping; Shaw, Leah B.: Model of pattern formation in marsh ecosystems with nonlocal interactions (2020)
  8. Zazoua, Assia; Zhang, Yongxin; Wang, Wendi: Bifurcation analysis of mathematical model of prostate cancer with immunotherapy (2020)
  9. 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)
  10. Aldebert, Clement; Kooi, Bob W.; Nerini, David; Gauduchon, Mathias; Poggiale, Jean-Christophe: Three-dimensional bifurcation analysis of a predator-prey model with uncertain formulation (2019)
  11. Algaba, Antonio; Chung, Kwok-Wai; Qin, Bo-Wei; Rodríguez-Luis, Alejandro J.: A nonlinear time transformation method to compute all the coefficients for the homoclinic bifurcation in the quadratic Takens-Bogdanov normal form (2019)
  12. Ali, Safaa Jawad; Arifin, Norihan Md.; Naji, Raid Kamel; Ismail, Fudziah; Bachok, Norfifah: Global stability of a three species predator-prey food chain dynamics (2019)
  13. Arancibia-Ibarra, Claudio: The basins of attraction in a modified May-Holling-Tanner predator-prey model with Allee affect (2019)
  14. Arancibia-Ibarra, Claudio; Flores, José D.; Pettet, Graeme; Van Heijster, Peter: A Holling-Tanner predator-prey model with strong Allee effect (2019)
  15. Banerjee, Swarnendu; Sarkar, Ram Rup; Chattopadhyay, Joydev: Effect of copper contamination on zooplankton epidemics (2019)
  16. Bashkirtseva, Irina Adol’fovna; Zaĭtseva, Svetlana Sergeevna: Analysis of multimodal stochastic oscillations in a biochemical reaction model (2019)
  17. Bel, Andrea; Rotstein, Horacio G.: Membrane potential resonance in non-oscillatory neurons interacts with synaptic connectivity to produce network oscillations (2019)
  18. Camacho, Erika T.; Radulescu, Anca; Wirkus, Stephen; Marshall, Pamela A.: A qualitative analysis of ubiquitous regulatory motifs in \textitSaccharomycescerevisiae genetic networks (2019)
  19. Collera, Juancho A.: Numerical continuation and bifurcation analysis in a harvested predator-prey model with time delay using DDE-biftool (2019)
  20. Conradi, Carsten; Mincheva, Maya; Shiu, Anne: Emergence of oscillations in a mixed-mechanism phosphorylation system (2019)

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