Bifurcation and chaos in noninteger order cellular neural networks

被引：177

作者：

Arena, P ^{[1
]}

Caponetto, R ^{[1
]}

Fortuna, L ^{[1
]}

Porto, D ^{[1
]}

机构：

[1] Univ Catania, Dipartimento Electtr Elettron & Sistemist, I-95125 Catania, Italy

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1998年 / 8卷 / 07期

关键词：

D O I：

10.1142/S0218127498001170

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper a new class of Cellular Neural Networks (CNNs) is introduced. The peculiarity of the new CNN model consists in replacing the traditional first order cell with a noninteger order one. The introduction of fractional order cells, with a suitable choice of the coupling parameters, leads to the onset of chaos in a two-cell system of a total order of less than three. A theoretical approach, based on the interaction between equilibrium points and limit cycles, is used to discover chaotic motions in fractional CNNs.

引用

页码：1527 / 1539

页数：13

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