We now have HomotopyContinuationProblem <: SteadyStateProblem which together with HomotopyContinuationMethod <: SteadyStateMethod can solve for fixed points in our dynamical system (in a rotating frame) using HomotopContinuation.jl. However, a dynamical system can have more than fixed point attractors, e.g., limit cycles, periodic orbits, strange attractors.
We would like to have AttractorsProblem <: SteadyStateProblem which would define a SteadyStateProblem which together with AttractorsMethod would find the steady states using Attractors.jl.
The new method should dispatch on get_steady_states(::HarmonicEquation, ::AttractorsMethod, ...) and the solutions should be saved in the Result struct.
We now have
HomotopyContinuationProblem <: SteadyStateProblemwhich together withHomotopyContinuationMethod <: SteadyStateMethodcan solve for fixed points in our dynamical system (in a rotating frame) usingHomotopContinuation.jl. However, a dynamical system can have more than fixed point attractors, e.g., limit cycles, periodic orbits, strange attractors.We would like to have
AttractorsProblem <: SteadyStateProblemwhich would define aSteadyStateProblemwhich together withAttractorsMethodwould find the steady states using Attractors.jl.The new method should dispatch on
get_steady_states(::HarmonicEquation, ::AttractorsMethod, ...)and the solutions should be saved in theResultstruct.