Nonorganized deterministic dissymmetries induce regularity in spatiotemporal dynamics

Citation
P. Arena et al., Nonorganized deterministic dissymmetries induce regularity in spatiotemporal dynamics, INT J B CH, 10(1), 2000, pp. 73-85
Citations number
13
Categorie Soggetti
Multidisciplinary
Journal title
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN journal
02181274 → ACNP
Volume
10
Issue
1
Year of publication
2000
Pages
73 - 85
Database
ISI
SICI code
0218-1274(200001)10:1<73:NDDIRI>2.0.ZU;2-1
Abstract
This letter deals with the remarkable effects observed in arrays of circuit s and systems when parameter spatial diversity is induced by using chaos, l eading to pattern formation and regularization. The communication emphasize s the fact that generating spatial dissymmetries by using chaos enhances re gularity and pattern formation capability with respect to the case in which diversity is generated by random processes. Several examples are reported showing the previous conjecture. A further aim of the paper is to emphasize that the introduction of a small amplitude chaotic spatial diversity could control chaos in both 1D and 2D large scale connected arrays of nonlinear circuits like Cellular Neural Network (CNN).