非线性学习中学习路径变化率对群体平均知识水平的影响研究

Impact Research of Non-linear Learning Paths Change Rate On Average Knowledge Level of the Droup

本文运用非线性动力学原理，通过分析非线性学习中学习者的学习路径与知识水平之间的数学关系，引出非线性学习的动力学模型。并在随机网络、小世界网络和规则网络三种环境下，针对学习路径变换率对某一群体平均知识水平存在的影响进行了仿真分析。仿真结果表明，学习路径变化率越大，群体的平均知识水平越容易达到平衡且趋于稳定，并且三种网络环境下小世界网络能较好的模拟真实网络的拓扑结构，这对于在群体的学习中合理优化的调控学习者的学习方向和学习质量有着科学的指导意义。

By using nonlinear dynamics principle and analyzing the mathematical relationship between learning path and average knowledge level which in the nonlinear learning process,the dynamic model of nonlinear learning is leaded out.And doing simulation analysis for the influence which the change rate of learning path to the group average knowledge level under three networks environment,random network,small world network and regular network.Simulation results show that the balanced and stable of average knowledge level of learners coupled with the greater rate of positive change of the learning path,and the real network topology can be simulated better under the small world network environment among the three networks,this has a scientific guiding significance for reasonable and optimized controlling the learning direction and learning quality in the group.