摘要
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.
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.
基金
theNationalNaturalScienceFoundationofChina ( 1 9990 51 0 )
theNationalKeyBasicResearchSpacialFund ( 1 9980 2 0 3 1 6)
DoctoralPointFund (D0 990 1 )
