互動函數在網格上的同步現象

Abstract

此篇論文主要的目是介紹三種不同的相互連結系統，並考慮四種不同的函數若分別作用在上述系統中的其中一種，則其同步情形為何。

We consider the lattices of coupling various type of interval maps such as tent map, tent-quadratic map, piecewise cubic map and piecewise quadratic map with the following three types of formulations. We prove that synchronization occurs for the case of 1D lattice with lattice size n = 2, 3,4,5 provided the coupling strength c is chosen in a suitable open interval contained in [0,0.5 ] and show the numerical results about it.