含耗散耦合神经孤波的最小作用量原理研究

Study on the Principle of Least Action for Dissipative Neural Coupling Solitons

基于描述神经元集群脑波频率耦合振荡的神经波动方程,采用最小作用量原理研究耦合神经孤波的耗散及相互作用动力学特性。通过对孤子参数方程组的分析可知,神经介质的耗散作用会导致神经孤波的幅值衰减;耦合孤波间的相互作用为吸引作用,且同地耦合孤波的相互作用大于异地耦合孤波,耗散使孤波间相互作用减弱。

Based on the neural wave motion equation which describes coupling oscillation of neural sets,the paper studies the properties of dissipation and interaction of neural coupling solutions by applying the least action principle.The result deduced from analyzing soliton parametric equations indicates that dissipative effect leads to amplitude decrease and the interaction between the coupling solitons is attraction.More analyses show that the power of attraction in the same cortex is bigger than in the different context and interaction is also weakened by dissipation.