Comparison of convergence towards invariant distributions for rotation angles, twist angles and local Lyapunov characteristic numbers

1998 ◽  
Vol 46 (11-12) ◽  
pp. 1525-1534 ◽  
Author(s):  
Elena Lega ◽  
Claude Froeschlé
Keyword(s):  
Characteristic Numbers ◽  
Invariant Distributions ◽  
Lyapunov Characteristic Numbers

RUELLE'S INEQUALITY FOR ISOTROPIC ORNSTEIN–UHLENBECK FLOWS

2010 ◽  
Vol 10 (01) ◽  
pp. 143-154 ◽  
Author(s):  
HOLGER VAN BARGEN
Keyword(s):  
Dynamical System ◽  
Random Dynamical System ◽  
Characteristic Numbers ◽  
Lyapunov Characteristic Numbers

Ruelle's inequality asserts that the entropy of a dynamical system is bounded from above by the Lyapunov characteristic numbers counted with their multiplicities. We show that this inequality holds true in the case of a random dynamical system deduced from an isotropic Ornstein–Uhlenbeck-flow (IOUF).

scholarly journals Pluto's Lyapunov numbers in different dynamical models

1996 ◽  
Vol 172 ◽  
pp. 71-74 ◽  
Author(s):  
R. Dvorak ◽  
E. Lohinger
Keyword(s):  
Body Problem ◽  
Stable Region ◽  
Three Body Problem ◽  
Orbital Elements ◽  
Dynamical Models ◽  
Characteristic Numbers ◽  
Numerical Integrations ◽  
Lyapunov Numbers ◽  
Three Body ◽  
Lyapunov Characteristic Numbers

We present the results of numerical integrations of Pluto and some fictitious Plutos in three different models (the circular and the elliptic restricted three body problem and the outer solar system). We determined the “extension” of the stable region in these models by means of the Lyapunov Characteristic Numbers and by an analysis of the orbital elements.

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