Motion indicators: behaviour in the transitory regime

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

Two very simple and fast methods to separate chaotic from regular orbits for mappings are presented. When computing the Lyapunov Characteristic Indicator very little attention has been given to the first part of the computation which was considered as a kind of transitory regime. The methods are based on the computation of the norm of the tangent vector and their behaviour in the transitory regime is used as an indicator of the motion. The bi-dimensional standard map is used as model problem.

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