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Complex Inner Product Averaging Method for Calculating Normal Form of Ode
Authors:Yu-shu Chen  Hong-jun Sun
Institution:Department of Mechanics, Tianjin University, Tianjin 300072, P R China
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.
Keywords:nonlinear dynamic system  normal form  complex inner product averaging method
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