Almost Periodicity, Chaos, and Asymptotic Equivalence

Nonfiction, Science & Nature, Science, Physics, Chaotic Behavior, Mathematics, Applied, Technology
Cover of the book Almost Periodicity, Chaos, and Asymptotic Equivalence by Marat Akhmet, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Marat Akhmet ISBN: 9783030205720
Publisher: Springer International Publishing Publication: June 20, 2019
Imprint: Springer Language: English
Author: Marat Akhmet
ISBN: 9783030205720
Publisher: Springer International Publishing
Publication: June 20, 2019
Imprint: Springer
Language: English

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.

 

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

 

More books from Springer International Publishing

Cover of the book Asymptotic Approximations for the Sound Generated by Aerofoils in Unsteady Subsonic Flows by Marat Akhmet
Cover of the book Religious Beliefs, Evolutionary Psychiatry, and Mental Health in America by Marat Akhmet
Cover of the book Evaluating Collaboration Networks in Higher Education Research by Marat Akhmet
Cover of the book Guerrilla Science by Marat Akhmet
Cover of the book Advances in Data Mining. Applications and Theoretical Aspects by Marat Akhmet
Cover of the book F. R. Leavis by Marat Akhmet
Cover of the book Intelligent Distributed Computing IX by Marat Akhmet
Cover of the book Ubiquitous Computing and Ambient Intelligence by Marat Akhmet
Cover of the book Nature Inspired Optimization Techniques for Image Processing Applications by Marat Akhmet
Cover of the book Viscometry for Liquids by Marat Akhmet
Cover of the book Biologically Rationalized Computing Techniques For Image Processing Applications by Marat Akhmet
Cover of the book Moral Panics, Mental Illness Stigma, and the Deinstitutionalization Movement in American Popular Culture by Marat Akhmet
Cover of the book Design Computing and Cognition '16 by Marat Akhmet
Cover of the book A History of the Application of Islamic Law in Nigeria by Marat Akhmet
Cover of the book Computational Proximity by Marat Akhmet
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy