Lyapunov, metric and flag spectra

Details Lyapunov, metric and flag spectra Lyapunov, metric and flag spectra

2009-12-08

arxiv.org/abs/0912.1476v1

Mathematics

Dynamical Systems

Scientific paper

We introduce the \emph{metric spectrum}, which measures the exponential rate
of approximation to an isolated invariant set of points starting in its stable
set, and relate it to the Lyapunov spectrum. We determine the metric spectrum
of each Morse component of the finest Morse decomposition of a linear induced
flow on a generalized flag manifold.

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