Normal view MARC view ISBD view

Kovacic, Ivana 1972-

Nonlinear Oscillations : Exact Solutions and their Approximations by Ivana Kovacic - First edition 2020 - 1 recurso en línea (X, 273 páginas) 123 ilustraciones, 105 ilustraciones a color - Engineering (SpringerNature-11647) Engineering (R0) (SpringerNature-43712) .

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.

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.

ISBN: 9783030531720

Standard No.: 10.1007/978-3-030-53172-0 doi

Subjects--Topical Terms:
Oscilaciones no lineales
Sistemas dinámicos diferenciales

LC Class. No.: QA867.5 / 2020 EB