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This volume has two primary goals: the first is to explain what is the method of normal forms and to introduce and elaborate on the concept of non-uniqueness or freedom in the normal form expansion; the second is to show how these techniques can be used to study a broad range of nonlinear systems. The book describes the method by emphasizing the non-unique property of the normal form expansion, and combines the expertise from two different fields: physics (Kahn) and mechanical engineering (Zarmi).
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