Strongly nonlinear oscillators : analytical solutions /

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Bibliographic Details
Author / Creator:Cveticanin, L., author.
Imprint:Cham : Springer, 2014.
Description:1 online resource.
Language:English
Series:Undergraduate lecture notes in physics
Undergraduate lecture notes in physics.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11085351
Hidden Bibliographic Details
ISBN:9783319052724
3319052721
3319052713
9783319052717
9783319052717
Digital file characteristics:text file PDF
Notes:Includes bibliographical references.
Print version record.
Summary:This book provides the presentation of the motion of pure nonlinear oscillatory systems and various solution procedures which give the approximate solutions of the strong nonlinear oscillator equations. The book presents the original authors method for the analytical solution procedure of the pure nonlinear oscillator system. After an introduction, the physical explanation of the pure nonlinearity and of the pure nonlinear oscillator is given. The analytical solution for free and forced vibrations of the one-degree-of-freedom strong nonlinear system with constant and time variable parameter is considered. Special attention is given to the one and two mass oscillatory systems with two-degrees-of-freedom. The criteria for the deterministic chaos in ideal and non-ideal pure nonlinear oscillators are derived analytically. The method for suppressing chaos is developed. Important problems are discussed in didactic exercises. The book is self-consistent and suitable as a textbook for students and also for professionals and engineers who apply these techniques to the field of nonlinear oscillations.
Other form:Print version: Cveticanin, L. Strongly nonlinear oscillators 9783319052717
Standard no.:10.1007/978-3-319-05272-4