LOCAL INSTABILITY OF BIANCHI-IX DYNAMICS IN THE FIRST BKL APPROXIMATION

Authors
SZYDLOWSKI M KRAWIEC A
Citation
M. Szydlowski et A. Krawiec, LOCAL INSTABILITY OF BIANCHI-IX DYNAMICS IN THE FIRST BKL APPROXIMATION, Chaos, solitons and fractals, 7(11), 1996, pp. 1923-1927
Citations number
24
Categorie Soggetti
Mathematics,Mechanics,Engineering,"Physics, Applied
Journal title
Chaos, solitons and fractals → ACNP
ISSN journal
09600779
Volume
7
Issue
11
Year of publication
1996
Pages
1923 - 1927
Database
ISI
SICI code
0960-0779(1996)7:11<1923:LIOBDI>2.0.ZU;2-3
Abstract
The generalized criterion of the local instability from the geodesic d eviation equation is demonstrated. We show that in the first BKL appro ximation of the Bianchi IX model the singularity of the inverse Jacobi metric or the Ricci scalar does not mean the corresponding singularit y in the geodesic deviation equation. We also calculate the characteri stic Lyapunov time for the chaotic B(IX) dynamics. Copyright (C) 1996 Elsevier Science Ltd.