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bmad-sim / NonlinearNormalForm.jl

Nonlinear normal form analysis using truncated power series
https://bmad-sim.github.io/NonlinearNormalForm.jl/
GNU General Public License v3.0
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Include parameter-dependence in equilibrium moments calculation #30

Open mattsignorelli opened 2 months ago

mattsignorelli commented 2 months ago

This is not currently implemented in FPP, but I think it would be nice

It is entirely dependent on if the tracking code can give us a stochastic matrix as a function of parameters ( tpsa) instead of scalars, which I think in Julia should be doable if we write the tracking code properly.

Equilibrium moments calculation we would have to:

  1. Go to parameter-dependent fixed point to all orders (obtained from factorization of normal form transformation)
  2. At the (fully-nonlinear) fixed point get linear normalizing matrix
  3. Same calculation as before