Naslov
Parry measure and the topological entropy of chaotic repellers embedded within chaotic attractors

Autori
Buljan, Hrvoje ; Paar, Vladimir

Izvornik
Physica D (0378-4371) 2994 (2002); 1-13

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Parry measure; topological entropy; chaotic repellers; chaotic attractors

Sažetak
We study topological entropy of chaotic repellers formed by those points in a given chaotic attractor that never visit some small forbidden hole-region in the phase space. We found that the difference between the topological entropies of the attractor and the embedded repeller is for most choices approximately equal to the corresponding Parry measure. When the hole encompasses a point of a short periodic orbit, the entropy difference is significantly smaller. This discrepancy is described by the formula which relates the length of the short periodic orbit, the Parry measure and the topological entropies of the two chaotic sets.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

POVEZANOST RADA