Nonlinear Oscillations
Exact Solutions and their Approximations
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Beschreibung
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.
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.
Unique book focusing on exact solutions for the response of nonlinear oscillators Visually rich with illustrations helping the reader assimilate the content Shows how the approximate solutions can be derived from the exact ones
Autor*in
Ivana Kovacic
Themen in »Nonlinear Oscillations«
Hardening Duffing oscillators Softening Duffing oscillators Quadratic oscillators Isochronous oscillators Jacobi elliptic functions Purely nonlinear oscillators
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“The book is well written and very easy to read. From the first pages, where the reader finds the motivation, it is an engaging and informatively very beneficial reading. The connection of mechanics and mathematics is described as well. The text is complemented by illustrative pictures.” (Petr Hasil, Mathematical Reviews, October, 2022)
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