Complex Inner Product Averaging Method for Calculating Normal Form of ODE

CHEN Yu-shu; SUN Hong-jun

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Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(12): 1230-1235

CHEN Yu-shu, SUN Hong-jun. Complex Inner Product Averaging Method for Calculating Normal Form of ODE[J]. Applied Mathematics and Mechanics, 2001, 22(12): 1230-1235.

Citation:

CHEN Yu-shu, SUN Hong-jun. Complex Inner Product Averaging Method for Calculating Normal Form of ODE[J]. Applied Mathematics and Mechanics, 2001, 22(12): 1230-1235.

Citation:

CHEN Yu-shu, SUN Hong-jun. Complex Inner Product Averaging Method for Calculating Normal Form of ODE[J]. Applied Mathematics and Mechanics, 2001, 22(12): 1230-1235.

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Complex Inner Product Averaging Method for Calculating Normal Form of ODE

Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China

Received Date: 2000-10-10
Rev Recd Date: 2001-06-26
Publish Date: 2001-12-15

Abstract

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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References(5)

References

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