透過您的圖書館登入
IP:3.145.41.59
  • 學位論文

A Linear Dynamical System

一類線性動力系統

指導教授 : 鄭穗生

摘要


A linear dynamical model of the form x^(t+1)=M_nx^(t), where M_n is an n by n matrix with diagonal elments alpha and off diagonal elements beta, is studied. We find that each solution may be a constant, 2-perioidc, convergent, asymptotic 2-periodic, divergent, or oscillatory sequence. Applications of our study include an economic model and the generalized Maxnet network for locating maximal values.

參考文獻


[1] J. T. Sandefur, Discrete Dynamical Modeling, Oxford University Press, 1993.
[2] J. P. F. Sum and P. K. S. Tam, Note on the Maxnet Dynamics, Neural Computation, 8(1996),
491–499

延伸閱讀


國際替代計量