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. Ghosh, Dibakar; Chowdhury, A. Roy; Saha, Papri: Bifurcation continuation, chaos and chaos control in nonlinear Bloch system (2008)
  2. Ghosh, Dibakar; Saha, Papri; Roy Chowdhury, A.: On the study of delay feedback control and adaptive synchronization near sub-critical Hopf bifurcation (2008)
  3. Govaerts, W.; Ghaziani, R. Khoshsiar: Stable cycles in a Cournot duopoly model of Kopel (2008)
  4. Green, K.; Champneys, A. R.; Friswell, M. I.; Muñoz, A. M.: Investigation of a multi-ball, automatic dynamic balancing mechanism for eccentric rotors (2008)
  5. Guckenheimer, John: Singular Hopf bifurcation in systems with two slow variables (2008)
  6. Haegeman, B.; Rapaport, A.: How flocculation can explain coexistence in the chemostat (2008)
  7. Kavousanakis, M. E.; Russo, L.; Siettos, C. I.; Boudouvis, A. G.; Georgiou, G. C.: A timestepper approach for the systematic bifurcation and stability analysis of polymer extrusion dynamics (2008)
  8. Keeling, Matt J.; Rohani, Pejman: Modeling infectious diseases in humans and animals (2008)
  9. Kuznetsov, Yu. A.; Meijer, H. G. E.; Govaerts, W.; Sautois, B.: Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs (2008)
  10. Lindberg, Åsa Marie; Fordell, Thomas; Valling, Simo: Dynamics, bifurcations and chaos in coupled lasers (2008)
  11. Liu, Quan-Xing; Jin, Zhen; Li, Bai-Lian: Numerical investigation of spatial pattern in a vegetation model with feedback function (2008)
  12. Páez Chávez, Joseph Nikolai: Numerical analysis of dynamical systems with codimension two singularities. (2008)
  13. Ray, Anirban; Ghosh, Dibakar; Chowdhury, A. Roy: On the chaotic aspects of three wave interaction in a magnetized plasma (2008)
  14. Roy, Manojit; Holt, Robert D.: Effects of predation on host-pathogen dynamics in SIR models (2008)
  15. Spyrou, Kostas J.; Tigkas, Ioannis G.: Nonlinear dynamics of ship steering behaviour under environmental excitations (2008)
  16. Thota, Phanikrishna; Dankowicz, Harry: TC-HAT ((\widehatTC)): a novel toolbox for the continuation of periodic trajectories in hybrid dynamical systems (2008)
  17. Touboul, Jonathan: Nonlinear and stochastic models in neuroscience. (2008)
  18. Wang, Wendi; Nakaoka, Shinji; Takeuchi, Yasuhiro: Invest conflicts of adult predators (2008)
  19. Wang, Xiaoqiang; Du, Qiang: Modelling and simulations of multi-component lipid membranes and open membranes via diffuse interface approaches (2008)
  20. Zu, Jian; Wang, Wendi; Takeuchi, Yasuhiro; Zu, Bo; Wang, Kaifa: On evolution under symmetric and asymmetric competitions (2008)

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