A new chaotic Hopfield network with piecewise linear activation function

doi:10.1088/1674-1056/19/3/030514

中国物理B ›› 2010, Vol. 19 ›› Issue (3): 30514-030514.doi: 10.1088/1674-1056/19/3/030514

A new chaotic Hopfield network with piecewise linear activation function

郑鹏升, 唐万生, 张建雄

Institute of Systems Engineering, Tianjin University, Tianjin 300072, China

收稿日期:2009-06-08 修回日期:2009-07-08 出版日期:2010-03-15 发布日期:2010-03-15
基金资助:
Project partially supported by the China Postdoctoral Science Foundation (Grant No.~20060400705) and Tianjin University Research Foundation (Grant No.~TJU-YFF-08B06).

A new chaotic Hopfield network with piecewise linear activation function

Zheng Peng-Sheng(郑鹏升), Tang Wan-Sheng(唐万生)^†, and Zhang Jian-Xiong(张建雄)

Institute of Systems Engineering, Tianjin University, Tianjin 300072, China

Received:2009-06-08 Revised:2009-07-08 Online:2010-03-15 Published:2010-03-15
Supported by:
Project partially supported by the China Postdoctoral Science Foundation (Grant No.~20060400705) and Tianjin University Research Foundation (Grant No.~TJU-YFF-08B06).

摘要/Abstract

摘要： This paper presents a new chaotic Hopfield network with a piecewise linear activation function. The dynamic of the network is studied by virtue of the bifurcation diagram, Lyapunov exponents spectrum and power spectrum. Numerical simulations show that the network displays chaotic behaviours for some well selected parameters.

Abstract: This paper presents a new chaotic Hopfield network with a piecewise linear activation function. The dynamic of the network is studied by virtue of the bifurcation diagram, Lyapunov exponents spectrum and power spectrum. Numerical simulations show that the network displays chaotic behaviours for some well selected parameters.

Key words: Hopfield network, chaos, piecewise linear function

中图分类号: (Numerical simulations of chaotic systems)

05.45.Pq

07.05.Mh (Neural networks, fuzzy logic, artificial intelligence)

郑鹏升, 唐万生, 张建雄. A new chaotic Hopfield network with piecewise linear activation function[J]. 中国物理B, 2010, 19(3): 30514-030514.

Zheng Peng-Sheng(郑鹏升), Tang Wan-Sheng(唐万生), and Zhang Jian-Xiong(张建雄). A new chaotic Hopfield network with piecewise linear activation function[J]. Chin. Phys. B, 2010, 19(3): 30514-030514.

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A new chaotic Hopfield network with piecewise linear activation function

A new chaotic Hopfield network with piecewise linear activation function

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