Poincaré方程的线性差耦合系统

数学物理学报 ›› 1998, Vol. 18 ›› Issue (S1): 64-68.

Poincaré方程的线性差耦合系统

陈士华¹, 杜乃林²

1. 武汉水利电力大学武汉 430072;
2. 武汉大学武汉 430072

收稿日期:1996-07-15 出版日期:1998-12-26 发布日期:1998-12-26

Linear Difference Coupled System of Poincaré Equation

Chen Shihua¹, Du Nailin Wuhan²

1. University of Hydraulic and Electric Engineering, Wuhan 430072;
2. Wuhan University, Wuhan 430072

Received:1996-07-15 Online:1998-12-26 Published:1998-12-26

摘要/Abstract

摘要： 该文对Poincaré方程的线性差耦合系统的同相解及反相解进行研究,得到了同相解稳定的参数区域,并在对角线性差耦合的情形下.对其反相解的存在性及稳定性进行了完整的分析,改进了文[1]的结果.

关键词: 耦合系统, 同相解, 反相解

Abstract: It studies the in-phase solution and out-of-phase solution of linear difference coupledsystem of Poincare equation,gets the parameter domain in which the in-phase solution is sta-ble,and establishes the existence and stability theorem of out-of-phase solution in diagonal dif-ference coupling.

Key words: Coupled system, in-phase solution, out-of-phase solution

陈士华, 杜乃林. Poincaré方程的线性差耦合系统[J]. 数学物理学报, 1998, 18(S1): 64-68.

Chen Shihua, Du Nailin Wuhan. Linear Difference Coupled System of Poincaré Equation[J]. Acta mathematica scientia,Series A, 1998, 18(S1): 64-68.

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