Save 40% on books and eBooks in Engineering & Materials Science or in Social & Behavioral Sciences!

Nonlinear Systems and Complexity

Dynamics with Chaos and Fractals

Authors: Akhmet, Marat, Fen, Mehmet Onur, Alejaily, Ejaily Milad

Free Preview
  • The Book
  • Stands as the first book presenting theoretical background on the unpredictable point and mapping of fractals
  • Introduces the concepts of unpredictable functions, abstract self-similarity, and similarity map
  • Discusses unpredictable solutions of quasilinear ordinary and functional differential equations
  • Illustrates new ways to construct fractals based on the ideas of Fatou and Julia
  • Examines unpredictability in ocean dynamics and neural networks, chaos in hybrid systems on a time scale, and homoclinic and heteroclinic motions in economic models
おすすめポイントをすべて見る

書籍の購入

イーブック ¥13,477
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-35854-9
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: PDF, EPUB
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
  • ご購入後、すぐにダウンロードしていただけます。
ハードカバー ¥16,847
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-35853-2
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
この書籍について

The book is concerned with the concepts of chaos and fractals, which are within the scopes of dynamical systems, geometry, measure theory, topology, and numerical analysis during the last several decades. It is revealed that a special kind of Poisson stable point, which we call an unpredictable point, gives rise to the existence of chaos in the quasi-minimal set. This is the first time in the literature that the description of chaos is initiated from a single motion. Chaos is now placed on the line of oscillations, and therefore, it is a subject of study in the framework of the theories of dynamical systems and differential equations, as in this book. The techniques introduced in the book make it possible to develop continuous and discrete dynamics which admit fractals as points of trajectories as well as orbits themselves. To provide strong arguments for the genericity of chaos in the real and abstract universe, the concept of abstract similarity is suggested.


著者について

Marat Akhmet

Dr. Marat Akhmet is currently a Professor at Department of Mathematics, Middle East Technical University, Ankara, Turkey. He got his B.S. degree in mathematics at Aktobe State University, Kazakhstan, and Ph.D. degree in differential equations and mathematical physics at Kiev State University, Ukraine. Currently Dr. Marat Akhmet’s researches focus on the dynamical models and differential equations. He has published six books and more than a hundred and fifty scientific papers. In the last several years, he has been investigating dynamics of neural networks, periodic and almost periodic motions, stability, chaos and fractals.

Mehmet Onur Fen

Dr. Mehmet Onur Fen received his B.S. degree in mathematics from Middle East Technical University, Ankara, Turkey, with a double major in physics. He graduated from the mathematics Ph.D. program of the same university in September 2013. Currently he is working as an Associate Professor at Department of Mathematics, TED University, Ankara, Turkey. Dr. Mehmet Onur Fen’s research interests include chaotic dynamical systems, mathematical models of neural networks, and several types of differential equations.

Ejaily Milad Alejaily

Dr. Ejaily Milad Alejaily is currently a lecturer at the College of Engineering Technology, Houn, Libya. He received his B.S. degree in mechanical engineering from Sirte University, Libya in 1997.  Later in 2009, Dr. Alejaily obtained his M.S. in mathematics from Universiti Teknologi Malaysia. He graduated from the mathematics Ph.D. program of Middle East Technical University, Ankara, Turkey in August 2019.


Table of contents (12 chapters)

Table of contents (12 chapters)

書籍の購入

イーブック ¥13,477
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-35854-9
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: PDF, EPUB
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
  • ご購入後、すぐにダウンロードしていただけます。
ハードカバー ¥16,847
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-35853-2
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
Loading...

この書籍のサービス情報

あなたへのおすすめ

Loading...

書誌情報

Bibliographic Information
Book Title
Dynamics with Chaos and Fractals
Authors
Series Title
Nonlinear Systems and Complexity
Series Volume
29
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
イーブック ISBN
978-3-030-35854-9
DOI
10.1007/978-3-030-35854-9
ハードカバー ISBN
978-3-030-35853-2
Series ISSN
2195-9994
Edition Number
1
Number of Pages
XIII, 226
Number of Illustrations
5 b/w illustrations, 71 illustrations in colour
Topics