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Full Description
This book presents exact, closed-form solutions for the response of a variety of nonlinear oscillators (free, damped, forced). The solutions presented are expressed in terms of special functions. To help the reader understand these `non-standard' functions, detailed explanations and rich illustrations of their meanings and contents are provided. In addition, it is shown that these exact solutions in certain cases comprise the well-known approximate solutions for some nonlinear oscillations.
Contents
Chapter1. Oscillators and Oscillatory Responses in Practical and Theoretical Systems.- Chapter2. Free Conservative Oscillators: from Linear to Nonlinear Systems.- Chapter3. Free Damped Oscillators.- Chapter4. Forced Oscillators.- Chapter5. Nonlinear Isochronous Oscillators.- Chapter6. From Chains of Nonlinear Oscillators to Continuous Nonlinear Systems