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. Doedel, E. J.; Govaerts, W.; Kuznetsov, W.; Dhooge, A.: Numerical continuation of branch points of equilibria and periodic orbits (2005)
  2. Friedman, M.; Govaerts, W.; Kuznetsov, Yu. A.; Sautois, B.: Continuation of homoclinic orbits in MATLAB (2005)
  3. Govaerts, Willy; Kuznetsov, Yuri A.; Dhooge, Annick: Numerical continuation of bifurcations of limit cycles in MATLAB (2005)
  4. Govaerts, W.; Sautois, B.: The onset and extinction of neural spiking: A numerical bifurcation approach (2005) ioport
  5. Ifidon, E. O.: Transitional vortices in wide-gap spherical annulus flow (2005)
  6. Kuznetsov, Yu. A.; Govaerts, W.; Doedel, E. J.; Dhooge, A.: Numerical periodic normalization for codim 1 bifurcations of limit cycles (2005)
  7. Lloyd, D. J. B.; Champneys, A. R.: Efficient numerical continuation and stability analysis of spatiotemporal quadratic optical solitons (2005)
  8. Lucero, Jorge C.: Bifurcations and limit cycles in a model for a vocal fold oscillator (2005)
  9. Salinger, A. G.; Burroughs, E. A.; Pawlowski, R. P.; Phipps, E. T.; Romero, L. A.: Bifurcation tracking algorithms and software for large scale applications (2005)
  10. Simos, Theodore E. (ed.); Psihoyios, G. (ed.); Tsitouras, Ch. (ed.): ICNAAM 2005. International conference on numerical analysis and applied mathematics 2005. Official conference of the European Society of Computational Methods in Sciences and Engineering (ESCMSE), Rhodes, Greek, September 16--20, 2005. (2005)
  11. Van Leemput, P.; Lust, K. W. A.; Kevrekidis, I. G.: Coarse-grained numerical bifurcation analysis of lattice Boltzmann models (2005)
  12. Dhooge, A.; Govaerts, W.; Kuznetsov, Y. A.: Numerical continuation of branch points of limit cycles in MATCONT (2004)
  13. Dhooge, A.; Govaerts, W.; Kuznetsov, Yu.a.: Bifurcations of periodic solutions of ODEs using bordered systems (2004)
  14. Janovská, Dáša; Janovský, Vladimír: A postprocessing of Hopf bifurcation points (2004)
  15. Dhooge, A.; Govaerts, W.; Kuznetsov, Yu. A.: MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs (2003)
  16. Dhooge, Annick; Govaerts, Willy; Kuznetsov, Yuri A.: Numerical continuation of fold bifurcations of limit cycles in MATCONT (2003)

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