A "metric" complexity for weakly chaotic systems
动力系统
2015-06-26 v1
摘要
We consider the number of Bowen sets which are necessary to cover a large measure subset of the phase space. This introduce some complexity indicator characterizing different kind of (weakly) chaotic dynamics. Since in many systems its value is given by a sort of local entropy, this indicator is quite simple to be calculated. We give some example of calculation in nontrivial systems (interval exchanges, piecewise isometries e.g.) and a formula similar to the Ruelle-Pesin one, relating the complexity indicator to some initial condition sensitivity indicators playing the role of positive Lyapunov exponents.
引用
@article{arxiv.math/0610969,
title = {A "metric" complexity for weakly chaotic systems},
author = {S. Galatolo},
journal= {arXiv preprint arXiv:math/0610969},
year = {2015}
}
备注
15 pages, no figures. Article