线性Caputo型分数阶三维动力系统解的空间结构及动力学行为

Structure of Space and Dynamic Behavior of Solutions to The Linear Caputo-Fractional 3-Dimension Autonomous Systems

基于系数矩阵特征值的分类情况,采取一系列线性变换和Laplace变换,结合Mittag-Leffler函数的敛散性,对Caputo型分数阶三维动力系统进行了研究,得到了分数阶三维动力系统解的相空间结构及动力学性质。

Based on the classification of coefficient matrix eigenvalues,a series of linear transformations and Laplace transformations are adopted to study the Caputo-type fractional-order three-dimensional dynamical system,combining with the convergence and divergence of the Mittag-Leffler function.The phase space structure and dynamical properties of the solution to the fractional-order three-dimensional dynamical system are obtained.