A new chaotic Hopfield network with piecewise linear activation function

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

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.

Keywords: Hopfield network chaos piecewise linear function

Received: 08 June 2009
Revised: 08 July 2009
Accepted manuscript online:

PACS:	05.45.Pq	(Numerical simulations of chaotic systems)
	07.05.Mh	(Neural networks, fuzzy logic, artificial intelligence)

Fund: Project partially supported by the China Postdoctoral Science Foundation (Grant No.~20060400705) and Tianjin University Research Foundation (Grant No.~TJU-YFF-08B06).

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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 2010 Chin. Phys. B 19 030514

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A new chaotic Hopfield network with piecewise linear activation function

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