Using dynamic neural networks to generate chaos: An inverse optimal control approach

Authors
Sanchez, EN Perez, JP Chen, GR
Citation
En. Sanchez et al., Using dynamic neural networks to generate chaos: An inverse optimal control approach, INT J B CH, 11(3), 2001, pp. 857-863
Citations number
8
Categorie Soggetti
Multidisciplinary
Journal title
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN journal
02181274 → ACNP
Volume
11
Issue
3
Year of publication
2001
Pages
857 - 863
Database
ISI
SICI code
0218-1274(200103)11:3<857:UDNNTG>2.0.ZU;2-B
Abstract
This Letter suggests a new approach to generating chaos via dynamic neural networks. This approach is based on a recently introduced methodology of in verse optimal control for nonlinear systems. Both Chen's chaotic system and Chua's circuit are used as examples for demonstration. The control law is derived to force a dynamic neural network to reproduce the intended chaotic attractors. Computer simulations are included for illustration and verific ation.