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arXiv · 1412.7268

A trajectory-free framework for analysing multiscale systems

Gary Froyland·Georg A. Gottwald·Andy Hammerlindl
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Abstract

We develop algorithms built around properties of the transfer operator and Koopman operator which 1) test for possible multiscale dynamics in a given dynamical system, 2) estimate the magnitude of the time-scale separation, and finally 3) distill the reduced slow dynamics on a suitably designed subspace. By avoiding trajectory integration, the developed techniques are highly computationally efficient. We corroborate our findings with numerical simulations of a test problem.

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Gary Froyland, Georg A. Gottwald, Andy Hammerlindl. 2014-12-23. A trajectory-free framework for analysing multiscale systems. https://arxiv.org/abs/1412.7268

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