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Title: Symbolic Dynamics in the Free-Fall Equal-Mass Three-Body Problem
Authors: Mylläri, Aleksandr
Martynova, Alija
Orlov, Victor
Chernin, Arthur
Keywords: Three-body Problem
Symbolic Dynamics
Issue Date: 2007
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Journal of Computing, Vol. 1, No 4, (2007), 425p-432p
Abstract: Free-fall equal-mass three-body systems are numerically studied using symbolic dynamics. We scan the two-dimensional homology map of initial configurations in steps of 0.001 along both axes. States of binary and triple encounters as well as changes of configuration are used to construct symbolic sequences. Symbolic sequences are characterized by Shannon and Markov entropies. Different ergodic components corresponding to different distinct peaks on the histograms of these entropies are revealed.
Description: The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006
ISSN: 1312-6555
Appears in Collections:Volume 1 Number 4

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