KS entropy

What about an hypothetical experiment yielding a non-Poisson distribution of light-on and light-off states On the basis of the results of Section XV.E, we are led to believe that it would be impossible to make the rate of Gibbs entropy increase to coincide with the KS entropy. We are convinced that for the same reasons the results of the work of Ref. 139 could not be extended to this case, and it would be impossible, in conclusion, to establish a connection between the rate of von Neumann entropy increase and the KS of the experimental sequence of light-on and ligh-off states. 

The configuration entropy represents the size of the phase space, and its projection onto the configuration space may correspond to the extent of the configuration space. However, it does not give any information about the dynamics itself. The Liapunov exponents and the KS entropy that is the positive sum of the Liapunov exponents may give the characteristic of the dynamics. Thus, these properties were calculated in this work to compare the results... 

Figure 14. (a) The KS entropy that is the positive sum of the Liapunov exponents against the... 

The dynamical randomness is characterized by the Kolmogorov-Sinai entropy per unit length. The Kolmogorov-Sinai (KS) entropy is the rate of accumulation of data necessary and sufficient to follow unambiguously an orbit on the repellor. is given by the relation ... 

For a bounded system, the escape rate is zero and we recover the well-known Pesin result that the KS entropy is equal to the Lyapunov exponent. However, when escape occurs from a chaotic system the rate is given by the difference between the sum of positive Lyapunov exponents and the KS entropy. 

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