Symbolic Dynamics in the Free-Fall Equal-Mass Three-Body Problem

Mylläri, Aleksandr, et al. "Symbolic Dynamics in the Free-Fall Equal-Mass Three-Body Problem." Serdica Journal of Computing 1.4 (2007): 425-432. <http://eudml.org/doc/11432>.

@article{Mylläri2007,
abstract = {The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006Free-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.},
author = {Mylläri, Aleksandr, Martynova, Alija, Orlov, Victor, Chernin, Arthur},
journal = {Serdica Journal of Computing},
keywords = {Three-body Problem; Symbolic Dynamics; Shannon entropy; Markov entropy; symbolic sequences; two-dimensional homology map},
language = {eng},
number = {4},
pages = {425-432},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Symbolic Dynamics in the Free-Fall Equal-Mass Three-Body Problem},
url = {http://eudml.org/doc/11432},
volume = {1},
year = {2007},
}

TY - JOUR
AU - Mylläri, Aleksandr
AU - Martynova, Alija
AU - Orlov, Victor
AU - Chernin, Arthur
TI - Symbolic Dynamics in the Free-Fall Equal-Mass Three-Body Problem
JO - Serdica Journal of Computing
PY - 2007
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 1
IS - 4
SP - 425
EP - 432
AB - The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006Free-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.
LA - eng
KW - Three-body Problem; Symbolic Dynamics; Shannon entropy; Markov entropy; symbolic sequences; two-dimensional homology map
UR - http://eudml.org/doc/11432
ER -