• DOI:10.1063/1.4704805
Corpus ID: 16249560

On finite-size Lyapunov exponents in multiscale systems.

@article{Mitchell2012OnFL,
  title={On finite-size Lyapunov exponents in multiscale systems.},
  author={L. Mitchell and G. Gottwald},
  journal={Chaos},
  year={2012},
  volume={22 2},
  pages={
          023115
        }
}

L. Mitchell, G. Gottwald

Published 2012

Mathematics, Physics, Medicine

Chaos

We study the effect of regime switches on finite size Lyapunov exponents (FSLEs) in determining the error growth rates and predictability of multiscale systems. We consider a dynamical system involving slow and fast regimes and switches between them. The surprising result is that due to the presence of regimes, the error growth rate can be a non-monotonic function of initial error amplitude. In particular, troughs in the large scales of FSLE spectra are shown to be a signature of slow regimes… CONTINUE READING

View on PubMed

arxiv.org

Save to Library

Create Alert

Cite

Launch Research Feed