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Creating ODESystems for HAVOK #93
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I am thinking about this ( and also see #56 ). Currently my target is to write up the docs, get some additional optimisation / identification routines for SINDY running and then get to the delays. To answer your questions:
Hope this helps. |
Hi, this helped a lot. I think that the best way to go forward with this would be usign |
I'll close this for now :) |
Right now
ODESystem
works great for making ODE system and then an ODEProblem from the basis coming out of the SINDy sparse regression, but with HAVOK, one of the variables in the regression is either used as forcing or is estimated via some sort of convolution. Right now ODESystem does not seem to be able to create these sort of systems and it seems like the only way to construct an appropriate ODE system for a HAVOK model is to manually extract the matrix and from the SINDy basis and fit a spline to the forcing mode and create your own ODE function from that. It is possible there is something I am missing since the docs currenty 404.My 2 main questions are
Is there anyway to generate ODE functions for HAVOK models useing
ODESystem
by a different specification of the SINDy problem or something else?Is there a better way of extracting the matrix from the SINDy output basis regressed on a linear basis?
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