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 68 articles )

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  1. Amuzescu, Bogdan; Airini, Razvan; Epureanu, Florin Bogdan; Mann, Stefan A.; Knott, Thomas; Radu, Beatrice Mihaela: Evolution of mathematical models of cardiomyocyte electrophysiology (2021)
  2. Hetebrij, Wouter; Mireles James, J. D.: Critical homoclinics in a restricted four-body problem: numerical continuation and center manifold computations (2021)
  3. Olson, Matthew L.; Goluskin, David; Schultz, William W.; Doering, Charles R.: Heat transport bounds for a truncated model of Rayleigh-Bénard convection via polynomial optimization (2021)
  4. Sierra, J.; Jolivet, P.; Giannetti, F.; Citro, V.: Adjoint-based sensitivity analysis of periodic orbits by the Fourier-Galerkin method (2021)
  5. Wang, Li; Lu, Zhong-Rong; Liu, Jike: Convergence rates of harmonic balance method for periodic solution of smooth and non-smooth systems (2021)
  6. Xie, Shuangquan; Kolokolnikov, Theodore; Nishiura, Yasumasa: Complex oscillatory motion of multiple spikes in a three-component Schnakenberg system (2021)
  7. Gomes, S. N.; Pavliotis, G. A.; Vaes, U.: Mean field limits for interacting diffusions with colored noise: phase transitions and spectral numerical methods (2020)
  8. Hittmeyer, Stefanie; Krauskopf, Bernd; Osinga, Hinke M.: Generalized Mandelbrot and Julia sets in a family of planar angle-doubling maps (2020)
  9. Klimina, L. A.: Method for constructing periodic solutions of a controlled dynamic system with a cylindrical phase space (2020)
  10. Kreusser, L. M.; McLachlan, R. I.; Offen, C.: Detection of high codimensional bifurcations in variational PDEs (2020)
  11. Wei, Junqiang: Numerical optimization method for determination of bifurcation points and its application in stability analysis of power system (2020)
  12. 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)
  13. Camacho, Erika T.; Radulescu, Anca; Wirkus, Stephen; Marshall, Pamela A.: A qualitative analysis of ubiquitous regulatory motifs in \textitSaccharomycescerevisiae genetic networks (2019)
  14. Hajnová, Veronika; Přibylová, Lenka: Bifurcation manifolds in predator-prey models computed by Gröbner basis method (2019)
  15. Hurtado, Paul J.; Kirosingh, Adam S.: Generalizations of the `linear chain trick’: incorporating more flexible dwell time distributions into mean field ODE models (2019)
  16. Klimina, L. A.: Method for finding periodic trajectories of centrally symmetric dynamical systems on the plane (2019)
  17. Uecker, Hannes: Hopf bifurcation and time periodic orbits with \textttpde2path -- algorithms and applications (2019)
  18. Van Kekem, Dirk L.; Sterk, Alef E.: Symmetries in the Lorenz-96 model (2019)
  19. 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)
  20. Byrtus, Miroslav; Dyk, Štěpán: Rigid Jeffcott rotor bifurcation behaviour using different models of hydrodynamic bearings (2018)

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