A trajectory-free framework for analysing multiscale systems

作者：Froyland Gary; Gottwald Georg A; Hammerlindl Andy^*

来源：Physica D: Nonlinear Phenomena , 2016, 328: 34-43.

DOI：10.1016/j.physd.2016.04.010

• Multiscale dynamics
• Transfer operator
• Koopman operator
• Model reduction

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.

• 出版日期2016-8-1