分数阶单向耦合系统

Fractional Order One-way Coupled System

向单向耦合系统引入了分数阶理论,并用分数阶差分方法,数值模拟研究了势的大小、耦合强度以及分数阶的阶数对单向耦合系统定向运动的影响。发现耦合强度越大,分数阶阶数越大,且在有限的势垒高度的情况下,粒子的运动速度最快,几乎形成匀速的运动。

This paper introduced the fracti onal theory to the one-way coupling system, and the fractional difference method, numerical simulation of the effect of potential size, coupling strength and fractional order directional movement of unidirectional coupled systems, and found that in the case of finite barrier height, the coupling strength and fractional order increasing, particle velocity is the fastest, almost forming uniform motion.