MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs

By Annick Dhooge, Willy Govaerts, Y. Kuznetsov. TOMS, 2003

1,561 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/8b6f7d0b305d6cba163ef568cdc361ada56e6b7a

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In Computational Theory and Mathematics

In Geometry and Topology

In Numerical Analysis

Citations in the corpus

Numerical computation of nonlinear normal modes in mechanical engineering (2016, methodology): “, the Moore-Penrose scheme used in MATCONT [91].”
The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems (2015, methodology): “, auto [4], colsys [5], content [6], matcont [7], and, more recently, coco [8].”
New features of the software MatCont for bifurcation analysis of dynamical systems (2008, methodology): “M at C ont 12 is an interactive bifurcation environment in matlab that is based on C l _M at C ont .”
The p53 protein and its molecular network: modelling a missing link between DNA damage and cell fate. (2014, methodology): “Forward continuation, using the Matlab package MatCont [50], of the equilibrium curve starting from the previously computed equilibrium point, numerically reveals two Hopf bifurcation points with negative Lyapunov coe ﬃ - cients [51] p. 120, i.e., corresponding to supercritical Hopf bifurcations.”
Mixed-Mode Oscillations with Multiple Time Scales (2012, neutral): “uation methods using the program Matcont [44].”
Bifurcation tracking by Harmonic Balance Method for performance tuning of nonlinear dynamical systems (2017, methodology): “In MATCONT, the continuation of codimension-1 bifurcations of dynamical systems is performed by means of minimally extended systems.”
The Harmonic Balance Method for Advanced Analysis and Design of Nonlinear Mechanical Systems (2014, neutral): “This method, which proposes a discretization of the BVP, is widely utilized in software for bifurcation detection and tracking like auto[3], colsys[4], content[5], matcont[6] or, more recently, coco[7].”
Nonlinear stability analysis of long hydrodynamic journal bearings using numerical continuation (2014, methodology): “Matcont [26] has been used in this paper as continuation software to predict the equilibrium point and the limit cycle solutions and the detection of their bifurcations.”