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Title of Journal: Nonlinear Dyn

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Abbravation: Nonlinear Dynamics

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Springer Netherlands

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DOI

10.1016/0141-9331(80)90323-3

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1573-269X

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Relaxation oscillation and attractive basins of a

Authors: Y G Zheng Z H Wang
Publish Date: 2012/07/26
Volume: 70, Issue: 2, Pages: 1231-1240
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Abstract

In this paper the nonlinear dynamics of a twoneuron Hopfield network with slow and fast variables is investigated By means of the geometric singular perturbation theory the condition that ensures the existence of the relaxation oscillation is obtained the period of the relaxation oscillation is determined analytically and the shape of attractive basin of every stable equilibrium is figured out By using the method of stability switches the delay effect on the characteristics of the relaxation oscillation and the attractive basins is studied Case studies are given to demonstrate the validity of theoretical analysis

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