I find fixed points by changing two parameters of a continuous system using the fixed point() function. How correctly use finded fixed points for plotting bifurcation diagram by BifurcationKit.jl?
Are there any examples of their sharing packages? I didn’t find them in the packages documentation
I was plot the eigenvalues of fixed points. Then i determinate bifurcations using the diagram.
For example, an several eigenvalue diagram for one fixed point that was found
The point is that you should use the
fixedpoints from DynamicalSystems.jl to find the starts of the branches to continuate later with BifurcationKit.jl. The advantage of
fixedpoints is that it is guaranteed to find all fixed points of the system. The disadvantage is that it is costly. So you use it for the starting seeds of your continuation.
We explain this process in detail in section 2 of chapter 4 of Nonlinear Dynamics | SpringerLink
Can I ask a question about the produce_orbitdiagram() so as not to create a new topic?