On the relation between the methods of averaging and normal forms

Weiyi Zhang; Koncay Huseyin

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On the relation between the methods of averaging and normal forms

机译：关于平均法与范式之间的关系

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This paper presents a comparative study of the well-established methods of averaging and normal forms. The similarities and differences of these important methods re discussed, with regard to two-dimensional systems, for convenience; but the results can be expended to higher dimensional systems. It is demonstrated that both methods lead to identical results, including the formal normal form as well as the associated coefficients. To support the conclusions, two illustrative examples are analyzed.

机译：本文介绍了比较完善的平均和正常形式方法的研究。为了方便起见，针对二维系统讨论了这些重要方法的异同。但是结果可以扩展到更高维的系统。结果表明，两种方法均会得出相同的结果，包括形式正规形式以及相关系数。为了支持这些结论，分析了两个示例。

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《Applied Mathematical Modelling》 |2000年第4期|279-295|共17页
作者
Weiyi Zhang; Koncay Huseyin;
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作者单位

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Normal forms; Averaging technqiues; Nonlinear systems;

机译：正常形式;平均技术;非线性系统;

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On the relation between the methods of averaging and normal forms

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