Like normal form transformations, averaging uses a near identity coordinate transformation to simplify a given system of ordinary differential equations. In contrast to our treatment of normal forms, where we applied the method to strictly autonomous systems, we shall apply averaging to nonautonomous systems. The coordinate transformations will be chosen so as to transform the nonautonomous system into an autonomous one called the averaged system.
KeywordsOrder Average SUBHARMONIC Resonance Nonautonomous System Duffing Equation Time Dependent Component
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