正规形的复内积平均法

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基金项目: 国家自然科学基金资助项目(重大19990510);国家重点基础研究专项经费资助项目(G1998020316);教育部博士点基金资助项目(D09901)

Complex Inner Product Averaging Method for Calculating Normal Form of ODE

摘要: 提出了求解非线性动力系统正规形的复内积平均法,与传统的平均法相比,其理论分析过程具有更加简单的形式,易于编程实现,可求到任意阶近似,并统一了自治系统与非自治系统的求解过程,最后求解一个例题来验证了该方法.
- 非线性动力系统 /
- 正规形 /
- 复内积平均法
Abstract: This paper puts forward a complex inner product averaging method for calculating normal form of ODE. Compared with conventional averaging method, the theoretic analytical process has such simple forms as to realize computer program easily. Results can be applied in both autonomous and non-autonomous systems. At last, an example is resolved to verify the method.
- non-linear dynamic system /
- normal form /
- complex inner product averaging method

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