The spatial entropy of two-dimensional subshifts of finite type

Jonq Juang, Song Sun Lin, Shih Feng Shieh, Wen Wei Lin

研究成果: 雜誌貢獻文章同行評審

6 引文 斯高帕斯(Scopus)

摘要

In this paper, two recursive formulas for computing the spatial entropy of two-dimensional subshifts of finite type are given. The exact entropy of a nontrivial example arising in cellular neural networks is obtained by using such formulas. We also establish some general theory concerning the spatial entropy of two-dimensional subshifts of finite type. In particular, we show that if either of the transition matrices is rank-one, then the associated exact entropy can be explicitly obtained. The generalization of our results to higher dimension can be similarly obtained. Furthermore, these formulas can be used numerically for estimating the spatial entropy.

原文英語
頁(從 - 到)2845-2852
頁數8
期刊International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
10
發行號12
DOIs
出版狀態已發佈 - 2000 十二月

ASJC Scopus subject areas

  • Modelling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics

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