Explicit Oseledets' splitting for Standard-like maps

Details Explicit Oseledets' splitting for Standard-like maps Explicit Oseledets' splitting for Standard-like maps

2012-03-19

arxiv.org/abs/1203.4187v1

Physics

Mathematical Physics

10 pages, 11 figures

Scientific paper

In the framework of Standard-like maps, we find an efficient scalar algorithm to compute finite time Lyapunov exponents (FTLE) and Oseledets' splitting (or covariant Lyapunov vectors, CLV); by connecting such procedure to invariant manifolds for generic non-fixed points (covariant curves), we find explicit approximations for tangent vectors (i.e. CLV) and manifold curvatures. In the appendix we generalize the numerical algorithm to any differentiable map of the plane.

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