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The Synchrony of Hindmarsh-Rose Neuron Networks

Author: LinChen
Tutor: YuHongJie
School: Shanghai Jiaotong University
Course: General and Fundamental Mechanics
Keywords: Hindmarsh-Rose neural network Synchronous Time delay Coupling strength Network connection Noise
CLC: O415.5
Type: Master's thesis
Year: 2007
Downloads: 126
Quote: 0
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Abstract


Twenty years , chaos synchronization and control issues in the physical , chemical , and biological systems has been extensively studied . Neural networks , chaos synchronization and control problem has attracted special attention . Chaotic and hyperchaotic synchronization and control is expected to play an important role in biological and artificial neural networks . About Synchronization of chaotic systems research in many areas of communication , control , neuroscience attracted wide interest for scholars . Hindmarsh-Rose neuron model , see the outbreak of chaotic behavior . Dhamala and other scholars in 2004 , found a certain time delay in the low range of the coupling strength can improve the phenomenon of chaos synchronization between Hindmarsh-Rose neurons . Dhamala scholars study based on the synchronization behavior of Hindmarsh-Rose neural network delay coupling of three forms . Constructed fully connected , star connection and the nearest neighbor connected three kinds of network connection status delay Hindmarsh-Rose neuron model network . Add time delay coupling method using chaos synchronization between neurons carried out a detailed analysis and numerical simulation to study the case of the three kinds of common network connection Hindmarsh-Rose neuron synchronization and can enhance the range of the chaos synchronization between neurons conduct time delay and coupling strength . Different network , different number of neurons synchronized case delay and coupling strength ranges make further comparison and analysis . In addition, this article attempts to add noise term , the delay - the case of a fully connected network to control the noise intensity changes , study of noise on Hindmarsh-Rose neurons synchronized .

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CLC: > Mathematical sciences and chemical > Physics > Theoretical Physics > Nonlinear physics > Chaos Theory
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