[MathematicalArt]

We do have the right math. It’s just that no one is using it. The planet is focused on differential and metric invariants (differential algebraic equations and statistics) and should be leveraging topological approaches to analyzing dynamical systems and networks. Almost no one is doing the latter yet there is already enough research to start applying the theory.

[freemint]

Can you recommend some books, papers or resources on this?

[topoloneuron]

The classic is Eugene M. Izhikevich, Dynamical systems in neuroscience: the geometry of excitability and bursting, 1967. A lot more work by Bard Ermentrout. Topological methods are pretty well established in computational neuroscience, but there is still little overlap with the deep neural nets that are now commonplace.

[mattkrause]

You might have the wrong date. I have an edition of Dynamical Systems in Neuroscience from 2007 and, having met the author, I'd imagine he might have just been born in 1967.

[freemint]

And less applied books about the theory behind it?