On the spatial entropy of two-dimensional golden mean

Jonq Juang; Shih Feng Shieh

doi:10.1142/S021812740400920X

On the spatial entropy of two-dimensional golden mean

Jonq Juang^*, Shih Feng Shieh

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

A sharper lower bound for the spatial entropy of two-dimensional golden mean was derived. The spatial entropy of subshifts of finite type was known to be the logarithm of the largest eigenvalue of its corresponding transition matrix. The relationship between m-transition matrix T^(m) _{H, V} and h(∑_{H, V}) was also given. The recursive formula for constructing T^(m)_{H, V} was also found.

Original language	English
Pages (from-to)	309-319
Number of pages	11
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	14
Issue number	1
DOIs	https://doi.org/10.1142/S021812740400920X
Publication status	Published - 2004 Jan
Externally published	Yes

Keywords

Cellular neural networks
Spatial entropy
Subshift of finite type
Two-dimensional golden mean

ASJC Scopus subject areas

Modelling and Simulation
Engineering (miscellaneous)
General
Applied Mathematics

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10.1142/S021812740400920X

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abstract = "A sharper lower bound for the spatial entropy of two-dimensional golden mean was derived. The spatial entropy of subshifts of finite type was known to be the logarithm of the largest eigenvalue of its corresponding transition matrix. The relationship between m-transition matrix T(m) H, V and h(∑H, V) was also given. The recursive formula for constructing T(m)H, V was also found.",

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AB - A sharper lower bound for the spatial entropy of two-dimensional golden mean was derived. The spatial entropy of subshifts of finite type was known to be the logarithm of the largest eigenvalue of its corresponding transition matrix. The relationship between m-transition matrix T(m) H, V and h(∑H, V) was also given. The recursive formula for constructing T(m)H, V was also found.

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KW - Spatial entropy

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On the spatial entropy of two-dimensional golden mean

Abstract

Keywords

ASJC Scopus subject areas

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