Finite-time rotation number: a fast indicator for chaotic dynamical structures

Details Finite-time rotation number: a fast indicator for chaotic dynamical structures Finite-time rotation number: a fast indicator for chaotic dynamical structures

2011-02-10

arxiv.org/abs/1102.2105v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 3 figures

Scientific paper

Lagrangian coherent structures are effective barriers, sticky regions, that separate phase space regions of different dynamical behavior. The usual way to detect such structures is via finite-time Lyapunov exponents. We show that similar results can be obtained for single-frequency systems from finite-time rotation numbers, which are much faster to compute. We illustrate our claim by considering examples of continuous and discrete-time dynamical systems of physical interest.

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