I want to do Bifurcation analysis for reactor dynamics, If any one using MATLAB for this analysis then please help or suggestion some paper or text. Thanks in advance
dear Daya,
have a look on the link below:
http://twr.cs.kuleuven.be/research/software/delay/ddebiftool.shtml
Best regards.
What specifically do you want to do? Bifurcation analysis is quite broad. Do you want to look for specific bifurcaiton points, carry out a full singularity analysis, or do you want to implement continuation methods?
Yes @ Alireza Fakhrizadeh Esfahani and thanks Slim Kaddeche it's very helpful I was searching the same type of tools, as I have not read fully but it seems good :), Thanks again. @ Matthew Lloyd, I want to find out the point where the system bifurcate through some inbuilt tools in MATLAB, I don't want to write code for that.
In which case you can use a solver/optimisation tool to satisfy the requirements for a specific bifurcation based on the eigenvalues. I don't know how complex your model is. but tor a simple 2 variable reactor dynamics model, the eigenvalues are given by the roots of a quadratic equation involving the trace and determinant of the Jacobian matrix. The points at which the real and imaginary parts of the eignevalues change signs will determine the type of bifurcation.
Dear Daya Shankar,
The best way is to use MATCONT software in Matlab for bifurcation analysis.
With best wishes.
this a new link for bifurcation analysis :
http://www.mathworks.com/matlabcentral/fileexchange/32210-dynamical-systems-toolbox
Best regards.
Auto is the best software I have used up until now. I have tried MatCont as well, which gives you more information than Auto does. Both of them are very well suited for a very broad spectrum of bifurcation analyzes.
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