Proceedings of a NATO advanced research workshop held at the Centre for Nonlinear Phenomena and Complex Systems on Homoclinic Chaos
SIAM Journal on Scientific Computing
Elements of applied bifurcation theory (2nd ed.)
Elements of applied bifurcation theory (2nd ed.)
Implementation of Hopf and double-Hopf continuation using bordering methods
ACM Transactions on Mathematical Software (TOMS)
Numerical methods for bifurcations of dynamical equilibria
Numerical methods for bifurcations of dynamical equilibria
Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
ACM Transactions on Mathematical Software (TOMS)
Simulating, Analyzing, and Animating Dynamical Systems: A Guide Toi Xppaut for Researchers and Students
Ordinary Differential Equations Using MATLAB
Ordinary Differential Equations Using MATLAB
Computation of Periodic Solution Bifurcations in ODEs Using Bordered Systems
SIAM Journal on Numerical Analysis
Cl_matcont: a continuation toolbox in Matlab
Proceedings of the 2003 ACM symposium on Applied computing
Computation of the Phase Response Curve: A Direct Numerical Approach
Neural Computation
Dynamics in spectral solutions of Burgers equation
Journal of Computational and Applied Mathematics
Optimizing counter-terror operations: Should one fight fire with "fire" or "water"?
Computers and Operations Research
Computational framework for investigation of aircraft nonlinear dynamics
Advances in Engineering Software
Numerical-Symbolic Matlab Program for the Analysis of Three-Dimensional Chaotic Systems
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part II
A Bisection-Like Algorithm for Branch Switching at a Simple Branch Point
Journal of Scientific Computing
Inverse bifurcation analysis of a model for the mammalian G1/S regulatory module
BIRD'07 Proceedings of the 1st international conference on Bioinformatics research and development
Numerical continuation of fold bifurcations of limit cycles in MATCONT
ICCS'03 Proceedings of the 1st international conference on Computational science: PartI
Feedback controlled electrical nerve stimulation: A computer simulation
Computer Methods and Programs in Biomedicine
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Convergence analysis of a numerical method to solve the adjoint linearized periodic orbit equations
Applied Numerical Mathematics
Bifurcation analysis of reinforcement learning agents in the Selten's horse game
ALAMAS'05/ALAMAS'06/ALAMAS'07 Proceedings of the 5th , 6th and 7th European conference on Adaptive and learning agents and multi-agent systems: adaptation and multi-agent learning
Continuation of Invariant Subspaces for Parameterized Quadratic Eigenvalue Problems
SIAM Journal on Matrix Analysis and Applications
Development of a computer algorithm for feedback controlled electrical nerve fiber stimulation
Computer Methods and Programs in Biomedicine
Qualitative and numerical analysis of the Rössler model: Bifurcations of equilibria
Computers & Mathematics with Applications
Journal of Computational and Applied Mathematics
Motoneuron model of self-sustained firing after spinal cord injury
Journal of Computational Neuroscience
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part IV
Neural mass activity, bifurcations, and epilepsy
Neural Computation
Bifurcation analysis of large equilibrium systems in MATLAB
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part I
Continuation of homoclinic orbits in MATLAB
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part I
Interactive Initialization and Continuation of Homoclinic and Heteroclinic Orbits in MATLAB
ACM Transactions on Mathematical Software (TOMS)
Phase response curves, delays and synchronization in MATLAB
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part II
On the modeling of long-term HIV-1 infection dynamics
Mathematical and Computer Modelling: An International Journal
Optimal control of terrorism and global reputation: A case study with novel threshold behavior
Operations Research Letters
Original article: A note on computation of pseudospectra
Mathematics and Computers in Simulation
Original articles: Computing non unique solutions of the Coulomb friction problem
Mathematics and Computers in Simulation
Original article: Computational study of a budding yeast model of Tyson and Novák
Mathematics and Computers in Simulation
Numerical computation of bifurcations in large equilibrium systems in matlab
Journal of Computational and Applied Mathematics
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MATCONT is a graphical MATLAB software package for the interactive numerical study of dynamical systems. It allows one to compute curves of equilibria, limit points, Hopf points, limit cycles, period doubling bifurcation points of limit cycles, and fold bifurcation points of limit cycles. All curves are computed by the same function that implements a prediction-correction continuation algorithm based on the Moore-Penrose matrix pseudo-inverse. The continuation of bifurcation points of equilibria and limit cycles is based on bordering methods and minimally extended systems. Hence no additional unknowns such as singular vectors and eigenvectors are used and no artificial sparsity in the systems is created. The sparsity of the discretized systems for the computation of limit cycles and their bifurcation points is exploited by using the standard Matlab sparse matrix methods. The MATLAB environment makes the standard MATLAB Ordinary Differential Equations (ODE) Suite interactively available and provides computational and visualization tools; it also eliminates the compilation stage and so makes installation straightforward. Compared to other packages such as AUTO and CONTENT, adding a new type of curves is easy in the MATLAB environment. We illustrate this by a detailed description of the limit point curve type.