The Analysis of Weakly Coupled Dynamical Systems
The Analysis of Weakly Coupled Dynamical Systems
复制标题
弱耦合动力系统分析
DOI：
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发表时间：
1965
期刊：
影响因子：
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通讯作者：
R. D. Milne
中科院分区：
文献类型：
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作者：
R. D. Milne
本文提出了一种求解弱耦合线性定常动力系统的近似方法。由较简单的子系统相互连接而成的动力系统，当组成子系统之间的相互作用程度不大时，称为弱耦合。为了近似的目的，弱耦合被定量地定义为一组条件，其中涉及的子系统的特性和互连的强度。近似允许的解决方案的完整的系统来表示在修改后的子系统的解决方案。除了纯粹的计算方面，近似的应用有助于对子系统相互作用产生完整的系统行为的方式的理解。一些例子给出的物理系统表现出弱耦合和这些例子之一，详细说明了应用的近似。
ABSTRACT An approximate method of solution is developed for linear, stationary dynamical systems which is weakly coupled. A dynamical system which is built up by the interconnection of simpler sub-systems is termed weakly coupled when the degree of interaction between the constituent sub-systems is not large. For the purpose of the approximation weak coupling is defined quantitatively in terms of a set of conditions which involve the characteristics of the sub-systems and the strengths of the interconnections. The approximation allows the solution of the complete system to be expressed in terms of the solutions of modified sub-systems. Apart from the purely computational aspects, an application of the approximation helps towards an understanding of the way in which the sub-systems interact to produce the complete system behaviour. A number of examples are given of physical systems which exhibit weak coupling and one of these examples is developed in detail to demonstrate the application of the approximation.