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Fast detection of chaotic behavior in galactic potentials
Author(s) -
Karanis G.I.,
Vozikis Ch.L.
Publication year - 2008
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.200710835
Subject(s) - chaotic , orbit (dynamics) , physics , series (stratigraphy) , order (exchange) , fourier transform , astrophysics , surface (topology) , statistical physics , computer science , artificial intelligence , geometry , mathematics , quantum mechanics , aerospace engineering , paleontology , finance , engineering , economics , biology
In the present paper we apply a new method of distinction between ordered and chaotic motion in galactic potentials. The method uses the Fourier Transform of a series of time intervals each one representing the time that elapsed between two successive points on the Poincaré surface of section. Examples of the methods ability to achieve an early and clear detection of an orbit's behavior are provided using two galactic potentials. The new method can also be applied in order to have an early distinction between ordered and sticky orbits. The method is generalized in order to be used in models with more than two dimensions. Finally we have tried to find an one‐number index to give us the nature of the orbit instead of checking by eye the whole spectrum. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)