Presentation 2014-01-21
Dynamics of Chaotic Neural Network with two Types of Initial Conditions
M. ASANO, J. KUROIWA, T. ODAKA, I. SUWA, H. SHIRAI,
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Abstract(in English) In this paper, we investigate dynamics of non-autonomous chaotic neural network model. We have shown that the non-autonomous isolated chaotic neuron model with a time-dependent system parameter gives attractor coexistence phenomena depending on initial configurations of the system. However, it is still unknown the dynamics of non-autonomous chaotic neural network model with a time-dependent system parameter. Therefore, in this paper, we introduce time-dependent system parameter into Adachi& Aihara chaotic neural network model with association recalling dynamics. Consequently, the model includes two type of dependencies of initial conditions, originating in (i) synaptic connections and in (ii) the time-dependent system parameter. The purposes of this study are to investigate the dynamics of the time-dependent system parameter, and to show whether the two types of dependencies of initial conditions coexist or not. From computer experiments, the two types of dependencies can coexist in the model. For an parameter region, the output of the model reveals period 6 or chaos depending on initial configurations, originating in the time-dependent system parameter. On the other hands, for a different initial configurations, the model gives different period 6 or chaotic response.
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Keyword(in English) chaotic neural network / dependence of initial conditions / attractor coexistance / time-dependent parameter
Paper # NLP2013-141
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Conference Information
Committee NLP
Conference Date 2014/1/14(1days)
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Paper Information
Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Dynamics of Chaotic Neural Network with two Types of Initial Conditions
Sub Title (in English)
Keyword(1) chaotic neural network
Keyword(2) dependence of initial conditions
Keyword(3) attractor coexistance
Keyword(4) time-dependent parameter
1st Author's Name M. ASANO
1st Author's Affiliation Graduate School of Engineering, University of Fukui()
2nd Author's Name J. KUROIWA
2nd Author's Affiliation Graduate School of Engineering, University of Fukui
3rd Author's Name T. ODAKA
3rd Author's Affiliation Graduate School of Engineering, University of Fukui
4th Author's Name I. SUWA
4th Author's Affiliation Graduate School of Engineering, University of Fukui
5th Author's Name H. SHIRAI
5th Author's Affiliation Technology Division, Faculty of Engineering, University of Fukui
Date 2014-01-21
Paper # NLP2013-141
Volume (vol) vol.113
Number (no) 383
Page pp.pp.-
#Pages 6
Date of Issue