TY - JOUR
T1 - Piecewise two-dimensional maps and applications to cellular neural networks
AU - Chang, Hsin Mei
AU - Jonq, Juang
PY - 2004/1/1
Y1 - 2004/1/1
N2 - Of concern is a two-dimensional map T of the form T(x, y) = (y, F(y) - bx). Here F is a three-piece linear map. In this paper, we first prove a theorem which states that a semiconjugate condition for T implies the existence of Smale horseshoe. Second, the theorem is applied to show the spatial chaos of one-dimensional Cellular Neural Networks. We improve a result of Hsu [2000].
AB - Of concern is a two-dimensional map T of the form T(x, y) = (y, F(y) - bx). Here F is a three-piece linear map. In this paper, we first prove a theorem which states that a semiconjugate condition for T implies the existence of Smale horseshoe. Second, the theorem is applied to show the spatial chaos of one-dimensional Cellular Neural Networks. We improve a result of Hsu [2000].
KW - Cellular Neural Networks
KW - Piecewise two-dimensional map
KW - Smale horseshoe
UR - http://www.scopus.com/inward/record.url?scp=13844276983&partnerID=8YFLogxK
U2 - 10.1142/S021812740401062X
DO - 10.1142/S021812740401062X
M3 - Article
AN - SCOPUS:13844276983
SN - 0218-1274
VL - 14
SP - 2223
EP - 2228
JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
IS - 7
ER -