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
