On the Neighborhood in Stabilizing Period-T Orbits for Chaotic m Degree Polynomial Dynamical System  

作　　者：Enguo GU Jiong RUAN and Zhenxun HUANG (Institute of Mathematics, Fudan University, Shanghai 200433,China) 

出　　处：《Communications in Nonlinear Science and Numerical Simulation》1998年第4期242-247,共6页非线性科学与数值模拟通讯（英文版）

摘　　要：In this paper, a problem of stabilizing a period-T orbit in discrete Chaotic m degree polynomial dynamical systems is studied. The aim is to present a new method for determining the neighborhood of a period-T point in which the system remains stable when subjected to a linear feedback control. A theorem on the existence of neighborhood is rigorously proved using idea from functional analysis and polar coordinate transformation.The ways of implementing the obtained theorem in the Henon map are proposed. Thevalidity of this method is shown by numerical simulation.In this paper, a problem of stabilizing a period-T orbit in discrete Chaotic m degree polynomial dynamical systems is studied. The aim is to present a new method for determining the neighborhood of a period-T point in which the system remains stable when subjected to a linear feedback control. A theorem on the existence of neighborhood is rigorously proved using idea from functional analysis and polar coordinate transformation.The ways of implementing the obtained theorem in the Henon map are proposed. Thevalidity of this method is shown by numerical simulation.

关 键 词：neighborhood of period-T orbit controlling chaotic discrete system gain matrix 

分 类 号：O415.5[理学—理论物理]