Spectra of a 1-D Wave Equation on Networks
By the graph theory,we first formulate the 1-D wave equation on networks in the form of a vector-valued differential equation in Cn.Then we show that its spectra are the same as the zeros of an exponential polynomial,which implies that its spectra locate in a strip parallel to the imaginary axis in left half-plane.In the end,we calculate the spectral distribution of a star-shape network using the fortran package ZEAL to demonstrate our theoretical results.
LIU Dongyi XU Genqi
Department of Mathematics,Tianjin University,Tianjin 300072,P.R.China
国际会议
The 30th Chinese Control Conference(第三十届中国控制会议)
烟台
英文
1-6
2011-07-01（万方平台首次上网日期，不代表论文的发表时间）