The study of differential equations requires good and powerful mathematical software. Also, a flexible and extendible package is important. A powerful and widely used environment for scientific computing is Matlab. The aim of MatCont and Cl_MatCont is to provide a continuation and bifurcation toolbox which is compatible with the standard Matlab ODE representation of differential equations. MatCont is a graphical Matlab package for the interactive numerical study of dynamical systems. It is developed in parallel with the command line continuation toolbox Cl_MatCont. The package (Cl_)MatCont is freely available for non-commercial use on an as is basis. It should never be sold as part of some other software product. Also, in no circumstances can the authors be held liable for any deficiency, fault or other mishappening with regard to the use or performance of (Cl_)MatCont.

References in zbMATH (referenced in 56 articles )

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  1. Hittmeyer, Stefanie; Krauskopf, Bernd; Osinga, Hinke M.: Generalized Mandelbrot and Julia sets in a family of planar angle-doubling maps (2020)
  2. Wei, Junqiang: Numerical optimization method for determination of bifurcation points and its application in stability analysis of power system (2020)
  3. 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)
  4. Hajnová, Veronika; Přibylová, Lenka: Bifurcation manifolds in predator-prey models computed by Gröbner basis method (2019)
  5. Hurtado, Paul J.; Kirosingh, Adam S.: Generalizations of the `linear chain trick’: incorporating more flexible dwell time distributions into mean field ODE models (2019)
  6. Klimina, L. A.: Method for finding periodic trajectories of centrally symmetric dynamical systems on the plane (2019)
  7. Van Kekem, Dirk L.; Sterk, Alef E.: Symmetries in the Lorenz-96 model (2019)
  8. Aldebert, Clement; Kooi, Bob W; Nerini, David; Poggiale, Jean-Christophe: Is structural sensitivity a problem of oversimplified biological models? Insights from nested dynamic energy budget models (2018)
  9. Byrtus, Miroslav; Dyk, Štěpán: Rigid Jeffcott rotor bifurcation behaviour using different models of hydrodynamic bearings (2018)
  10. Colombo, Alessandro; Del Buono, Nicoletta; Lopez, Luciano; Pugliese, Alessandro: Computational techniques to locate crossing/sliding regions and their sets of attraction in non-smooth dynamical systems (2018)
  11. Gomes, S. N.; Pavliotis, G. A.: Mean field limits for interacting diffusions in a two-scale potential (2018)
  12. Kong, Jude D.; Salceanu, Paul; Wang, Hao: A stoichiometric organic matter decomposition model in a chemostat culture (2018)
  13. Thavanayagam, Ealasukanthan; Wall, David J. N.: Modeling of spatial dynamical silence in the macro arterial domain (2018)
  14. van Kekem, Dirk L.; Sterk, Alef E.: Travelling waves and their bifurcations in the Lorenz-96 model (2018)
  15. Freistühler, Heinrich; Kleber, Felix; Schropp, Johannes: Emergence of unstable modes for classical shock waves in isothermal ideal MHD (2017)
  16. Sahoo, Bamadev; Panda, L. N.; Pohit, G.: Stability, bifurcation and chaos of a traveling viscoelastic beam tuned to 3:1 internal resonance and subjected to parametric excitation (2017)
  17. Wang, Jing; Lu, Bo; Liu, Shenquan; Jiang, Xiaofang: Bursting types and bifurcation analysis in the pre-Bötzinger complex respiratory rhythm neuron (2017)
  18. de Blank, H. J.; Kuznetsov, Yu. A.; Pekkér, M. J.; Veldman, D. W. M.: Degenerate Bogdanov-Takens bifurcations in a one-dimensional transport model of a fusion plasma (2016)
  19. Sánchez Sanz, Julia; Getto, Philipp: Numerical bifurcation analysis of physiologically structured populations: consumer-resource, cannibalistic and trophic models (2016)
  20. Detroux, T.; Renson, L.; Masset, L.; Kerschen, G.: The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems (2015)

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