swMATH ID: 551
Software Authors: Dhooge, A.; Sautois, B.; Govaerts, W.; Kuznetsov, Yu.A.
Description: 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.
Homepage: https://sourceforge.net/projects/matcont/
Dependencies: Matlab
Keywords: bifurcation; dynamical systems; Matlab software; branch points; extended systems; normal form; limit cycles
Related Software: AUTO; Matlab; CL_MATCONT; HomCont; AUTO-07P; XPPAUT; DDE-BIFTOOL; COCO; AUTO2000; Maple; CONTENT; AUTO-86; PyDSTool; pde2path; LOCA; MATLAB ODE suite; CL_MATCONTL; Mathematica; TC-HAT; SlideCont
Referenced in: 453 Publications
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Referenced by 816 Authors

28 Govaerts, Willy J. F.
23 Kuznetsov, Yuri Alexandrovich
14 Meijer, Hil G. E.
11 Qin, Bo-Wei
11 Rodríguez-Luis, Alejandro J.
11 Wang, Wendi
10 Algaba, Antonio
10 Chung, Kwok-Wai
10 Kühn, Christian
9 Dhooge, Annick
9 Sahoo, Banshidhar
8 Janovský, Vladimír
8 Kooi, Bob W.
8 Krauskopf, Bernd
8 Osinga, Hinke Maria
8 Poria, Swarup
8 Scarabel, Francesca
7 Arancibia-Ibarra, Claudio
7 Flores, José D.
6 Aguirre, Pablo
6 Sautois, B.
6 Siettos, Constantinos I.
5 Campbell, Sue Ann
5 Chattopadhyay, Joydev
5 Diekmann, Odo
5 Friedman, Mark J.
5 Guckenheimer, John M.
5 Gyllenberg, Mats
5 Russo, Lucia
5 Takeuchi, Yasuhiro
5 Vermiglio, Rossana
4 Banerjee, Malay
4 Breda, Dimitri
4 Champneys, Alan R.
4 De Witte, Virginie
4 Erhardt, André
4 González-Olivares, Eduardo
4 Jardón-Kojakhmetov, Hildeberto
4 Páez Chávez, Joseph Nikolai
4 Shilnikov, Andrey L.
4 van Heijster, Peter
3 Bakri, Taoufik
3 Barrio, Roberto
3 Bindel, David S.
3 Doedel, Eusebius J.
3 Edelstein-Keshet, Leah
3 Eskandari, Zohreh
3 Fantuzzi, Giovanni
3 Feudel, Ulrike
3 Ghosh, Dibakar
3 Giannino, Francesco
3 Haslinger, Jaroslav
3 Jiang, Jifa
3 Kalmár-Nagy, Tamás
3 Lessard, Jean-Philippe
3 Ligurský, Tomáš
3 Luo, Jianfeng
3 Mazrooei-Sebdani, Reza
3 Nicola, Wilten
3 Niu, Lei
3 Pal, Nikhil Ranjan
3 Panday, Pijush
3 Pettet, Graeme John
3 Pugliese, Andrea
3 Roy Chowdhury, Asesh
3 Samanta, Sudip K.
3 Serrano, Sergio E.
3 Sonck, Charlotte
3 Storace, Marco
3 Thümmler, Vera
3 van den Berg, Jan Bouwe
3 van Gils, Stephan A.
3 Venturino, Ezio
3 Verhulst, Ferdinand
3 Ward, Michael J.
3 Wechselberger, Martin
3 Zu, Jian
2 Aguiar, Maíra
2 Al-Hdaibat, Bashir
2 Alam, Shariful
2 Aldebert, Clement
2 Alonso, Antonio A.
2 Aminzare, Zahra
2 Andò, Alessia
2 Atabaigi, Ali
2 Banerjee, Swarnendu
2 Barton, David A. W.
2 Basto, Mário
2 Berec, Luděk
2 Beyn, Wolf-Jürgen
2 Bizzarri, Federico
2 Blesa, Fernando
2 Bode, Michael
2 Breunung, Thomas
2 Buffoni, Giuseppe
2 Bulelzai, M. A. K.
2 Calheiros, Francisco L.
2 Cao, Ming
2 Capistrán, Marcos A.
2 Caulkins, Jonathan P.
...and 716 more Authors
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Referenced in 113 Serials

33 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
30 SIAM Journal on Applied Dynamical Systems
25 Journal of Theoretical Biology
21 Physica D
19 Journal of Mathematical Biology
18 Communications in Nonlinear Science and Numerical Simulation
16 Nonlinear Dynamics
12 Mathematics and Computers in Simulation
11 Applied Mathematics and Computation
11 Chaos
10 Bulletin of Mathematical Biology
9 Chaos, Solitons and Fractals
8 Journal of Computational and Applied Mathematics
8 Journal of Computational Neuroscience
8 The Journal of Mathematical Neuroscience
7 Mathematical Biosciences
6 SIAM Journal on Scientific Computing
6 Differential Equations and Dynamical Systems
6 Nonlinear Analysis. Real World Applications
5 Computer Methods in Applied Mechanics and Engineering
4 Nonlinearity
4 Theoretical Population Biology
4 Journal of Nonlinear Science
4 Discrete and Continuous Dynamical Systems
4 Discrete and Continuous Dynamical Systems. Series B
4 Mathematical Biosciences and Engineering
4 Mathematical Modelling of Natural Phenomena
3 ACM Transactions on Mathematical Software
3 SIAM Journal on Applied Mathematics
3 Complexity
3 Journal of Difference Equations and Applications
3 Abstract and Applied Analysis
3 Journal of Applied Mathematics and Computing
3 Journal of Computational Dynamics
2 Biological Cybernetics
2 Journal of Fluid Mechanics
2 Journal of Mathematical Analysis and Applications
2 Mathematical Methods in the Applied Sciences
2 Physics Letters. A
2 Mathematics of Computation
2 Ricerche di Matematica
2 Applied Numerical Mathematics
2 Mathematical and Computer Modelling
2 Journal of Scientific Computing
2 Neural Computation
2 Applied Mathematical Modelling
2 Journal of Dynamics and Differential Equations
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Discrete Dynamics in Nature and Society
2 Combustion Theory and Modelling
2 Qualitative Theory of Dynamical Systems
2 Multiscale Modeling & Simulation
2 International Journal of Computational Methods
2 Advances in Difference Equations
2 Applied Mathematical Sciences
2 Journal of Biological Dynamics
2 Communications in Computational Physics
2 Discrete and Continuous Dynamical Systems. Series S
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Computers and Fluids
1 Computers & Mathematics with Applications
1 Computer Physics Communications
1 International Journal for Numerical Methods in Fluids
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Computational Physics
1 Journal of Statistical Physics
1 Physica A
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Calcolo
1 International Journal of Mathematics and Mathematical Sciences
1 International Journal for Numerical Methods in Engineering
1 Meccanica
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 SIAM Journal on Numerical Analysis
1 Operations Research Letters
1 Stochastic Analysis and Applications
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Computers & Operations Research
1 SIAM Journal on Matrix Analysis and Applications
1 Neural Networks
1 Games and Economic Behavior
1 Journal of Non-Newtonian Fluid Mechanics
1 SIAM Review
1 Celestial Mechanics and Dynamical Astronomy
1 Indagationes Mathematicae. New Series
1 International Journal of Robust and Nonlinear Control
1 Continuum Mechanics and Thermodynamics
1 Computational and Applied Mathematics
1 ETNA. Electronic Transactions on Numerical Analysis
1 Vietnam Journal of Mathematics
1 Optimization Methods & Software
1 Mathematical and Computer Modelling of Dynamical Systems
1 European Journal of Mechanics. A. Solids
1 European Journal of Mechanics. B. Fluids
1 Journal of Biological Systems
1 Journal of High Energy Physics
1 International Journal of Modern Physics C
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
1 Communications in Mathematical Sciences
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
...and 13 more Serials

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