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Jun 24, 2024 at 5:44 comment added Maxim Umansky @feynman For nonlinear f,g the given proof shows that in general it is not possible to infer parameters from the trajectory (u,v) because linear f,g is a particular case of nonlinear ones. One could also ask a question: Is it possible to find an example of functions f and g such that the parameters could be inferred from the (u,v) trajectory. Here the answer is positive.
Jun 24, 2024 at 4:53 comment added feynman Thanks. In the original question I put a simple example of a linear group of ODEs but my question is more for the purpose of nonlinear ones.
Jun 5, 2024 at 6:07 history edited Maxim Umansky CC BY-SA 4.0
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Jun 5, 2024 at 6:02 history edited Maxim Umansky CC BY-SA 4.0
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Jun 5, 2024 at 5:53 history edited Maxim Umansky CC BY-SA 4.0
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Jun 5, 2024 at 5:45 history answered Maxim Umansky CC BY-SA 4.0