Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628649 | Applied Mathematics and Computation | 2013 | 12 Pages |
Abstract
This investigation considers the complexity of output spaces of multi-layer cellular neural networks. Let B be a set of admissible local output patterns coupled with input and let Bâ¼ be the set of admissible output patterns extracting from B. Since topological entropy is an indicator for investigating the complexity of spaces, we study the topological entropy of output spaces YU and Y which are induced by B and Bâ¼, respectively. A system has a diamond if h(YU)â h(Y). Necessary and sufficient conditions for the existence of diamond are demonstrated separately. Furthermore, numerical experiments exhibit some novel phenomena.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jung-Chao Ban, Chih-Hung Chang,