Nonlinear Oscillations Exact Solutions and their Approximations Ivana 3030531724 9783030531720

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Product details:

• ISBN-10 ‏ : ‎ 3030531724
• ISBN-13 ‏ : ‎ 9783030531720
• Author: Ivana Kovacic

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.

Table of contents:

1. Oscillators and Oscillatory Responses in Practical and Theoretical Systems

2. Free Conservative Oscillators: From Linear to Nonlinear Systems

3. Free Damped Oscillators

4. Forced Oscillators

5. Nonlinear Isochronous Oscillators

6. From Chains of Nonlinear Oscillators to Continuous Nonlinear System

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