Nonlinear Dynamics

Geared toward advanced undergraduates and graduate students, this exposition covers the method of normal forms and its application to ordinary differential equations through perturbation analysis. In addition to its emphasis on the nonuniqueness property of normal form expansion, the text features n [...]
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Geared toward advanced undergraduates and graduate students, this exposition covers the method of normal forms and its application to ordinary differential equations through perturbation analysis. In addition to its emphasis on the nonuniqueness property of normal form expansion, the text features numerous examples from electrical and mechanical engineering, particle physics, astrophysics, and other fields. 1998 edition.