Bifurcation

A C++ library for the computation of bifurcation diagrams: it provides tools for the integration of systems of ODEs that depend on parameters. A Python interface is included. Platforms: Mac

The programs compute the bifurcation diagram for the cubic map and a realistic population dynamics model. The value of parameter r, when the cycle of period three appears, is indicated. As expected, for higher values of r, we observe chaotic behaviour. Both models are given in the problems?... Platforms: Matlab

The three-variable autocatalator is a prototype of complex dynamical behavior. Indeed, period doubling and chaos are found when the bifurcation parameter, nu, is varied between 0.10 and 0.20.The autocatalator's steps are the following:P->AP+C->A+CA->BA+2 B->3 BB->CC->DWhere P is a chemical... Platforms: Matlab

These programs demonstrates different chaotic maps,bifurcations,hybrid chaotic maps,highly secure maps,auto correlations,cross correlations and their extreme sensitivity to initial conditions or bifurcation parameters. Platforms: Matlab

A gaussian pdf is propagated through the non-linear system and the skewness particularly during the time of bifurcation is observed. To initialize the whole process just run lorenz_att.m. Make sure all the code is in the same directory. The script lorenz_pdf.m saves some images. To modify the... Platforms: Matlab

PLOTAUTOBD builds bifurcation diagrams as displayed by XPPAUT, from AUTO data saved in a DAT file by XPPAUT option File/All Info.Several built-in features allow to finely control the graphic output with the possibility to produce publication quality figures as well as to make bifurcation data... Platforms: Matlab

The Oregonator model accurately describes the Belousov-Zhabotinsky (BZ) reaction. BZ reaction is an example of oscillating chemical reactions. The simulink file oregonator.mdl solves this classical problem. The values of the parameters used in the simulation give a limit cycle when we plot... Platforms: Matlab

Membrane diffusion in a coupled reactor system can cause complex behaviour such as oscillations, period doubling and chaos. Here we study a simple model suggested by Deng-Harrison in 1969. The bifurcation diagram is obtained. We find good agreement with Figure 10 page 76 of the paper by Lengyel... Platforms: Matlab

FractalJ is an application designed to be an education tool for teaching fractals and chaotic dynamical systems. Fractals, complete bifurcation diagrams, orbit diagrams, iterated function systems as well as the Mandelbrot and Julia sets are provided. Platforms: *nix

StochPy (Stochastic modelling in Python) is an easy-to-use package, which provides several stochastic simulation algorithms (SSAs), which can be used to simulate biochemical systems in a stochastic manner. Further, several unique and easy-to-use analysis techniques are provided by StochPy.... Platforms: Windows

StochPy (Stochastic modelling in Python) is an easy-to-use package, which provides several stochastic simulation algorithms (SSAs), which can be used to simulate biochemical systems in a stochastic manner. Further, several unique and easy-to-use analysis techniques are provided by StochPy.... Platforms: Mac

StochPy (Stochastic modelling in Python) is an easy-to-use package, which provides several stochastic simulation algorithms (SSAs), which can be used to simulate biochemical systems in a stochastic manner. Further, several unique and easy-to-use analysis techniques are provided by StochPy.... Platforms: Linux

AUTO is a publicly available software for continuation and bifurcation problems in ordinary differential equations originally written in 1980 and widely used in the dynamical systems community. Platforms: *nix