Skip to main content
SpringerLink
Log in

Nonlinear Oscillations

Exact Solutions and their Approximations

  • Book
  • © 2020

Overview

Authors:
  1. Ivana Kovacic

    1. Faculty of Technical Sciences, Centre for Vibro-Acoustic Systems and Signal Processing, University of Novi Sad, Novi Sad, Serbia

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • 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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (6 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Oscillators and Oscillatory Responses in Practical and Theoretical Systems

    • Ivana Kovacic
    Pages 1-17

  3. Free Conservative Oscillators: From Linear to Nonlinear Systems

    • Ivana Kovacic
    Pages 19-76

  4. Free Damped Oscillators

    • Ivana Kovacic
    Pages 77-132

  5. Forced Oscillators

    • Ivana Kovacic
    Pages 133-187

  6. Nonlinear Isochronous Oscillators

    • Ivana Kovacic
    Pages 189-222

  7. From Chains of Nonlinear Oscillators to Continuous Nonlinear Systems

    • Ivana Kovacic
    Pages 223-259

  8. Back Matter

    Pages 261-273
    Download chapter PDF
Back to top

Keywords

About this book

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.



Reviews

“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)

Authors and Affiliations

  • Faculty of Technical Sciences, Centre for Vibro-Acoustic Systems and Signal Processing, University of Novi Sad, Novi Sad, Serbia

    Ivana Kovacic

About the author

Ivana Kovacic is a Full Professor of Mechanics at the Faculty of Technical Sciences, University of Novi Sad, Serbia, and the Head of the Centre for Vibro-Acoustic Systems and Signal Processing CEVAS at the same faculty. Her research involves the use of quantitative and qualitative methods to study governing equations arising from nonlinear dynamics problems. She is the editor/author of the books ‘The Duffing Equation: Nonlinear Oscillators and their Behaviour’ and ‘Mechanical Vibrations: Fundamentals with Solved Examples’ (both published by Wiley) as well as two textbooks in Serbian. She is a Subject Editor in three academic journals: Journal of Sound and Vibration (Elsevier), Mechanics Research Communications (Elsevier) and Meccanica (Springer). 

 

Bibliographic Information

  • Book Title: Nonlinear Oscillations

  • Book Subtitle: Exact Solutions and their Approximations

  • Authors: Ivana Kovacic

  • DOI: https://doi.org/10.1007/978-3-030-53172-0

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-53171-3Published: 15 August 2020

  • Softcover ISBN: 978-3-030-53174-4Published: 16 August 2021

  • eBook ISBN: 978-3-030-53172-0Published: 14 August 2020

  • Edition Number: 1

  • Number of Pages: X, 273

  • Number of Illustrations: 18 b/w illustrations, 105 illustrations in colour

  • Topics: Mechanical Engineering, Applications of Nonlinear Dynamics and Chaos Theory, Theoretical and Applied Mechanics

Publish with us

Policies and ethics

Back to top

Search

Navigation