I am interested in learning numerical methods that specifically have to do with analyzing dynamical systems. In particular:
- drawing phase plane diagrams
- drawing phase portraits
- analyzing bifurcations and drawing bifurcation diagrams
I have found the following sources so far:
Numerical Methods for Nonsmooth Dynamical Systems
Numerical Continuation Methods for Dynamical Systems
Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems
Numerical Methods for Bifurcations of Dynamical Equilibria
However, these are just results I have found from doing searches using keywords like "numerical dynamical systems bifurcation". I don't know the quality of these resources, and thus their usefulness.
Can you comment if you have experience with a resource I have listed, or another one I might not have listed? By the way, I would use a dynamical-systems
tag, but I realized there isn't one!