About the Efficiency of Fast Lyapunov Indicator Surfaces and Small Alignment Indicator Surfaces

Astronomy and Astrophysics – Astronomy

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Scientific paper

Chaos detection methods based on calculation of Fast Lyapunov Indicator (FLI) and Small Alignment Index (SALI) are known as fast methods. The celerity of these methods can be improved by the application of a fast and precise, numerical integration method like the conservative integration one. With an integrator, based on the conservative integration algorithm, I constructed SALI and FLI surfaces, to identify chaotic and non-chaotic zones near equilibrium points, and I compared the efficiency of these two chaos-detection methods. Accepting the SALI value as sample, I was interested in finding the value of FLI in the moment of apparition of chaos.

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