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. Basto, Mário; Semiao, Viriato; Calheiros, Francisco: Dynamics in spectral solutions of Burgers equation (2007)
  2. Beyn, Wolf-Jürgen; Thümmler, Vera: Phase conditions, symmetries and PDE continuation (2007)
  3. Bungay, Sharene D.; Campbell, Sue Ann: Patterns of oscillation in a ring of identical cells with delayed coupling. (2007)
  4. Govaerts, W.; Ghaziani, R. Khoshsiar; Kuznetsov, Yu. A.; Meijer, H. G. E.: Numerical methods for two-parameter local bifurcation analysis of maps (2007)
  5. Govaerts, Willy; Kuznetsov, Yuri A.: Interactive continuation tools (2007)
  6. Jafri, Firoz Ali; Shukla, Amit; Thompson, David F.: A numerical bifurcation study of friction effects in a slip-controlled torque converter clutch (2007)
  7. Krauskopf, Bernd; Osinga, Hinke M.: Computing invariant manifolds via the continuation of orbit segments (2007)
  8. Neumann, Gunter; Schuster, Stefan: Continuous model for the rock-scissors-paper game between bacteriocin producing bacteria (2007)
  9. Peletier, L. A.; Williams, J. F.: Some canonical bifurcations in the Swift-Hohenberg equation (2007)
  10. Rodrigues, Paula; Gomes, M. Gabriela M.; Rebelo, Carlota: Drug resistance in tuberculosis -- a reinfection model (2007)
  11. Sieber, J.; Krauskopf, B.: Control-based continuation of periodic orbits with a time-delayed difference scheme (2007)
  12. Stellardo, Daniele; Bizzarri, Federico; Storace, Marco; de Feo, Oscar: On the complexity of periodic and nonperiodic behaviors of a hysteresis-based electronic oscillator (2007)
  13. Abrams, Daniel M.; Strogatz, Steven H.: Chimera states in a ring of nonlocally coupled oscillators (2006)
  14. Govaerts, W.; Ghaziani, R. Khoshsiar: Numerical bifurcation analysis of a nonlinear stage structured cannibalism population model (2006)
  15. Govaerts, W.; Sautois, B.: Phase response curves, delays and synchronization in MATLAB (2006)
  16. Govaerts, W.; Sautois, B.: Computation of the phase response curve: a direct numerical approach (2006)
  17. Iwami, Shingo; Nakaoka, Shinji; Takeuchi, Yasuhiro: Frequency dependence and viral diversity imply chaos in an HIV model (2006)
  18. Szalai, Róbert; Stépán, Gábor; Hogan, S. John: Continuation of bifurcations in periodic delay-differential equations using characteristic matrices (2006)
  19. Bindel, David S.; Demmel, James W.; Friedman, Mark J.; Govaerts, Willy J. F.; Kuznetsov, Yuri A.: Bifurcation analysis of large equilibrium systems in MATLAB (2005)
  20. Dhooge, A.; Sautois, B.; Govaerts, W.; Kuznetsov, Yu. A.: MATCONT: Matlab software for bifurcation study of dynamical systems (2005)

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