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low and high dimensional systems transitions

Posted by jlagarde on 23 Apr 2020 at 13:00 GMT

Dear colleagues,

Very stimulating study. I wonder whether the theory of normal forms, and the center manifold theorem, can actually predict the generalization from small to larger systems. The field of synergetics, developed by Herman Haken, also predicts the same generalization of critical slowing down and fluctuations at the bifurcation.

For a biological application: Neurobiological Models of Two-Choice Decision Making Can Be Reduced to a One-Dimensional Nonlinear Diffusion Equation, by Alex Roxin, Anders Ledberg, Research Article | published 28 Mar 2008 PLOS Computational Biology
https://doi.org/10.1371/j...

my best regards
Julien Lagarde

No competing interests declared.