Phrasing "The relevant framework becomes X"

Question

I'm writing a piece in which at some point there is a shift to a new subject called stochastic dynamical systems. The transition looks like follows

...but once dynamical noise is introduced the relevant mathematical
framework becomes stochastic dynamical systems.

But this doesn't sound quite right to me. I've considered the following alternative

...but once dynamical noise is introduced the relevant mathematical
framework becomes that of stochastic dynamical systems.

Is there a better way of phrasing this?
If there are more appropriate tags for this question please feel free to add them.

R.S. · Accepted Answer

I would insert a short reason for the transition before mentioning  the new framework. Something like -

...but once dynamical noise is introduced the added randomness (or
whatever) takes  the process/problem  into the realm of another
framework, called stochastic dynamical systems.

If the reader is already familiar with the new framework then we can drop 'another framework` bit and the flow of sentence becomes even smoother.

...but once dynamical noise is introduced the added randomness (or
whatever) takes  the process/problem  into the realm/domain of stochastic dynamical systems.

Phrasing "The relevant framework becomes X"

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