Open Datseris opened 3 years ago
One of the possible application of basins_of_attraction
is finding UPO of maps with the Newton method (Yorke again):
unstable periodic orbits can also be used to estimate a fractal dimension https://journals.aps.org/pra/abstract/10.1103/PhysRevA.37.1711 (same group of people again)
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.58.2387
The authors also apply the algorithm to real-world data, and as such it has a nice place in a numerical package like DynamicalSystems.jl.