A trajectory-free framework for analysing multiscale systems

Gary Froyland, Georg Arnold Gottwald, Andy Hammerlindl

Research output: Contribution to journalArticleResearchpeer-review

9 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)34-43
Number of pages10
JournalPhysica D: Nonlinear Phenomena
Publication statusPublished - 2016


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

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