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Nonlinear Systems and Complexity

Almost Periodicity, Chaos, and Asymptotic Equivalence

Authors: Akhmet, Marat

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  • Distinctively combines results and methods of the theory of differential equations with thorough investigation of chaotic dynamics with almost periodic ingredients
  • Provides all necessary mathematical basics in their most developed form, negating the need for any additional sources for readers to start work in the area
  • Presents a unique method of investigation of discontinuous almost periodic solutions in its unified form, employed to differential equations with different types of discontinuity
  • Develops the equivalence method to its ultimate effective state such that most important theoretical problems and practical applications can be analyzed by the method
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  • ISBN 978-3-030-20572-0
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  • ISBN 978-3-030-19916-6
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About this book

The central subject of this book is Almost Periodic Oscillations, the most common oscillations in applications and the most intricate for mathematical analysis.  Prof. Akhmet's lucid and rigorous examination proves these oscillations are a "regular" component of chaotic attractors. The book focuses on almost periodic functions, first of all, as Stable (asymptotically) solutions of differential equations of different types, presumably discontinuous; and, secondly, as non-isolated oscillations in chaotic sets. Finally, the author proves the existence of Almost Periodic Oscillations (asymptotic and bi-asymptotic) by asymptotic equivalence between systems. The book brings readers' attention to contemporary methods for considering oscillations as well as to methods with strong potential for study of chaos in the future. Providing three powerful instruments for mathematical research of oscillations where dynamics are observable and applied, the book is ideal for engineers as well as specialists in electronics, computer sciences, robotics, neural networks, artificial networks, and biology.


  • Distinctively combines results and methods of the theory of differential equations with thorough investigation of chaotic dynamics with almost periodic ingredients;
  • Provides all necessary mathematical basics in their most developed form, negating the need for any additional sources for readers to start work in the area;
  • Presents a unique method of investigation of discontinuous almost periodic solutions in its unified form, employed to differential equations with different types of discontinuity;
  • Develops the equivalence method to its ultimate effective state such that most important theoretical problems and practical applications can be analyzed by the method.


 


About the authors

Prof. Dr. Marat Akhmet is a Professor in the Department of Mathematics, Middle East Technical University, Ankara, Turkey. 

Table of contents (14 chapters)

Table of contents (14 chapters)

Buy this book

eBook $119.99
price for USA in USD (gross)
  • ISBN 978-3-030-20572-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA in USD
  • ISBN 978-3-030-19916-6
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Almost Periodicity, Chaos, and Asymptotic Equivalence
Authors
Series Title
Nonlinear Systems and Complexity
Series Volume
27
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-20572-0
DOI
10.1007/978-3-030-20572-0
Hardcover ISBN
978-3-030-19916-6
Series ISSN
2195-9994
Edition Number
1
Number of Pages
XVII, 360
Number of Illustrations
1 b/w illustrations, 25 illustrations in colour
Topics

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