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/
Source Code:  https://sourceforge.net/projects/matcont/files/
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; COCO; DDE-BIFTOOL; AUTO2000; SlideCont; Maple; pde2path; CONTENT; TC-HAT; Mathematica; PyDSTool; AUTO-86; Knut; CL_MATCONTL; LOCA
Cited in: 526 Documents
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Cited by 967 Authors

28 Govaerts, Willy J. F.
24 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 Krauskopf, Bernd
10 Kühn, Christian
9 Dhooge, Annick
9 Kooi, Bob W.
9 Osinga, Hinke Maria
9 Sahoo, Banshidhar
9 Scarabel, Francesca
8 Janovský, Vladimír
8 Poria, Swarup
7 Aguirre, Pablo
7 Arancibia-Ibarra, Claudio
7 Flores, José D.
6 Chattopadhyay, Joydev
6 Páez Chávez, Joseph Nikolai
6 Samanta, Sudip
6 Sautois, B.
6 Siettos, Constantinos I.
5 Breda, Dimitri
5 Campbell, Sue Ann
5 Diekmann, Odo
5 Friedman, Mark J.
5 Guckenheimer, John M.
5 Gyllenberg, Mats
5 Indeĭtsev, Dmitriĭ Anatol’evich
5 Mondal, Argha
5 Mondal, Arnab
5 Popov, Ivan A.
5 Russo, Lucia
5 Takeuchi, Yasuhiro
5 Vermiglio, Rossana
4 Banerjee, Malay
4 Champneys, Alan R.
4 De Witte, Virginie
4 Edelstein-Keshet, Leah
4 Erhardt, André
4 Ghosh, Dibakar
4 González-Olivares, Eduardo
4 Jardón-Kojakhmetov, Hildeberto
4 Jiang, Jifa
4 Kumar Upadhyay, Ranjit
4 Lukin, Alexei V.
4 Sharma, Sanjeev Kumar
4 Shilnikov, Andrey L.
4 Tiwari, Pankaj Kumar
4 van Heijster, Peter
3 Aguiar, Maíra
3 Bakri, Taoufik
3 Barrio, Roberto
3 Bindel, David S.
3 Breunung, Thomas
3 Dankowicz, Harry J.
3 Doedel, Eusebius J.
3 Eskandari, Zohreh
3 Fantuzzi, Giovanni
3 Feudel, Ulrike
3 García, Christian Cortés
3 Giannino, Francesco
3 Haslinger, Jaroslav
3 Hu, Dongpo
3 Kalmár-Nagy, Tamás
3 Lessard, Jean-Philippe
3 Ligurský, Tomáš
3 Liu, Yang
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 Serrano, Sergio E.
3 Sieber, Jan
3 Sonck, Charlotte
3 Stollenwerk, Nico
3 Storace, Marco
3 Thümmler, Vera
3 van den Berg, Jan Bouwe
3 van Gils, Stephan A.
3 Venturino, Ezio
3 Verhulst, Ferdinand
3 Wang, Hao
3 Ward, Michael J.
3 Wechselberger, Martin
3 Zu, Jian
2 Al-Hdaibat, Bashir
2 Alam, Shariful
2 Aldebert, Clement
2 Alonso, Antonio A.
2 Aminzare, Zahra
2 Andò, Alessia
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Cited in 125 Serials

34 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
33 SIAM Journal on Applied Dynamical Systems
29 Journal of Theoretical Biology
27 Communications in Nonlinear Science and Numerical Simulation
21 Physica D
20 Journal of Mathematical Biology
20 Nonlinear Dynamics
16 Chaos, Solitons and Fractals
12 Bulletin of Mathematical Biology
12 Applied Mathematics and Computation
12 Mathematics and Computers in Simulation
11 Chaos
9 Journal of Computational Neuroscience
8 Mathematical Biosciences
8 Journal of Computational and Applied Mathematics
8 Nonlinear Analysis. Real World Applications
8 Discrete and Continuous Dynamical Systems. Series B
8 The Journal of Mathematical Neuroscience
6 Computer Methods in Applied Mechanics and Engineering
6 SIAM Journal on Scientific Computing
6 Differential Equations and Dynamical Systems
5 Nonlinearity
5 Journal of Biological Systems
4 Theoretical Population Biology
4 Applied Mathematical Modelling
4 Journal of Nonlinear Science
4 Discrete and Continuous Dynamical Systems
4 Mathematical Biosciences and Engineering
4 Mathematical Modelling of Natural Phenomena
3 Physics Letters. A
3 ACM Transactions on Mathematical Software
3 SIAM Journal on Applied Mathematics
3 Journal of Dynamics and Differential Equations
3 Complexity
3 Journal of Difference Equations and Applications
3 Abstract and Applied Analysis
3 Journal of Applied Mathematics and Computing
3 Journal of Biological Dynamics
3 International Journal of Biomathematics
3 Journal of Computational Dynamics
2 Biological Cybernetics
2 Journal of Computational Physics
2 Journal of Fluid Mechanics
2 Journal of Mathematical Analysis and Applications
2 Mathematical Methods in the Applied Sciences
2 Mathematics of Computation
2 International Journal for Numerical Methods in Engineering
2 Meccanica
2 Ricerche di Matematica
2 Applied Numerical Mathematics
2 Mathematical and Computer Modelling
2 Journal of Scientific Computing
2 Neural Computation
2 Applications of Mathematics
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 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
2 Russian Journal of Nonlinear Dynamics
1 Acta Mechanica
1 Applicable Analysis
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 Statistical Physics
1 Physica A
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Calcolo
1 International Journal of Mathematics and Mathematical Sciences
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 SIAM Journal on Numerical Analysis
1 Studies in Applied Mathematics
1 Operations Research Letters
1 Stochastic Analysis and Applications
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Journal of Symbolic Computation
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 Vestnik St. Petersburg University. Mathematics
1 Continuum Mechanics and Thermodynamics
1 Computational and Applied Mathematics
1 ETNA. Electronic Transactions on Numerical Analysis
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Cited in 34 Fields

265 Biology and other natural sciences (92-XX)
230 Ordinary differential equations (34-XX)
192 Dynamical systems and ergodic theory (37-XX)
118 Numerical analysis (65-XX)
50 Partial differential equations (35-XX)
35 Mechanics of particles and systems (70-XX)
30 Mechanics of deformable solids (74-XX)
24 Fluid mechanics (76-XX)
20 Systems theory; control (93-XX)
11 Computer science (68-XX)
10 Difference and functional equations (39-XX)
10 Probability theory and stochastic processes (60-XX)
10 Statistical mechanics, structure of matter (82-XX)
10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
6 Optics, electromagnetic theory (78-XX)
4 Classical thermodynamics, heat transfer (80-XX)
4 Operations research, mathematical programming (90-XX)
3 Operator theory (47-XX)
2 Algebraic geometry (14-XX)
2 Integral equations (45-XX)
2 Statistics (62-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 Commutative algebra (13-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Topological groups, Lie groups (22-XX)
1 Real functions (26-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Approximations and expansions (41-XX)
1 Functional analysis (46-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Quantum theory (81-XX)

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