Abstract
A model of one dimensional cellular neural network (CNN) was investigated. The investigations described the spatial disorder of one-dimensional CNN with a biased term by the iteration map method. Each bounded trajectory was found to correspond to the outputs of bounded stationary solutions for the maps. The map was found to be one-dimensional under certain parameters. The spatial entropy of stable stationary solutions could be obtained explicitly as a staircase function.
| Original language | English |
|---|---|
| Pages (from-to) | 525-534 |
| Number of pages | 10 |
| Journal | International Journal of Bifurcation and Chaos in Applied Sciences and Engineering |
| Volume | 12 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1 Jan 2002 |
Keywords
- Bernoulli shift
- Spatial disorder
- Topological entropy
- Transition matrix
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Ban, J. C., Lin, S-S., & Hsu, C. H. (2002). Spatial disorder of cellular neural networks - With biased term. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 12(3), 525-534. https://doi.org/10.1142/S0218127402004541