An Inhibition Method for Cluster Synchronization in Modular Neuronal Networks with Coupled Delays
A neuron network and neuron technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as unseen reports, and achieve the best suppression effect
Inactive Publication Date: 2017-02-15
SHAANXI NORMAL UNIV
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However, how to suppress the pathological synchronization of the module neuron network under the effect of coupling time delay has not been reported yet.
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[0056] S1. Suppose there are M sub-networks in the module network, each sub-network contains N nodes, set N=30, assume that each sub-network is a small-world network, and each neuron in each sub-network is connected to its nearest neighbor and second neighbor The nodes are connected; using a given probability p intra Increase the connections between nodes in the subnetwork, and then select some nodes from the Ith (I=1,...,M) and Jth (J≠I, J=1,...,M)th subnetworks Yes, and with the inter-subnet connection probability p inter Connect selected node pairs. With this method, a network of modular neurons is generated. figure 1 An example of a network of modular neurons is given. The characteristic of the module network is that the connections within the modules (sub-networks) are relatively tight, while the connections between modules are relatively sparse. This specific implementation sets p intra =0.2,p inter = 0.01.
[0057] S2. A two-dimensional discrete map is used to des...
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The present invention discloses a method for inhibiting cluster synchronization of a module neural network with a coupling time delay. The method comprises the following steps of: establishing a module neural network model; describing a local neuron model on a node in the module neural network by using two-dimensional discrete mapping; vividly describing the discharge dynamics of neurons by using a fast variable of a single neuron and a time history of the whole network average field; computing an order parameter R, and determining an influence of the coupling strength on induction of the cluster synchronization; and bringing forward a method for inhibiting the cluster synchronization by using a differential feedback control technology, computing an inhibition parameter S, and determining the validity of the differential feedback control technology for reducing or inhibiting the cluster synchronization. The present invention finds that relatively high coupling strength can induce the cluster synchronization of the module neural network, and when control parameters of differential feedback control are positioned in a control domain, the differential feedback control can effectively inhibit the cluster synchronization. When the coupling time delay is introduced, a relatively small coupling time delay can improve the effect of the differential feedback control for inhibiting the cluster synchronization.
Description
technical field [0001] The invention relates to the field of biology, in particular to a method for inhibiting cluster synchronization of modular neuron networks with coupling time delay. Background technique [0002] The synchronous firing activity of neurons plays a key role in biological neural information processing and is related to many normal physiological mechanisms of the nervous system. However, recent medical experiments have shown that not all synchronized patterns of neurons contribute to proper brain function. The abnormal synchronous discharge activity of neurons will seriously damage the normal function and structure of the brain, and then lead to certain neurophysiological diseases, such as Parkinson's disease, epilepsy, hand tremor, etc. Therefore, it is of great theoretical significance and potential application value to study how to inhibit the abnormal synchronous firing activity of neurons. [0003] One clinically effective method for eliminating path...
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IPC IPC(8): G06F19/12
Inventor 杨晓丽胡丽萍
Owner SHAANXI NORMAL UNIV