TY  - JOUR
AB  - We consider a dynamical linear differential (or recurrent) system whose initial state is given only by a probability density. The Shannon information entropy, associated with the probability density, is considered as a global uncertainty index giving a measure of the uncertainty about the state of the system. The law of evolution with time of this index is given. This law remains the same with a global uncertainty index equal to a Rényi informational measure. The purpose of this article is to show how there evolves with time the uncertainty about the state of a dynamical system whose initial state is already imperfectly known. This uncertainty is expressed in probabilistic terms and the dynamical system considered is supposed to be linear. In other words the sensitivity of the dynamical system to initial conditions is considered in an informational frame.
VL  - 27
IS  - 9
SN  - 0368-492X
DO  - 10.1108/03684929810246017
UR  - https://doi.org/10.1108/03684929810246017
AU  - Vallée Robert
PY  - 1998
Y1  - 1998/01/01
TI  - Evolution of uncertainty about the state of a dynamical system
T2  - Kybernetes
PB  - MCB UP Ltd
SP  - 1007
EP  - 1011
Y2  - 2024/04/20
ER  -