Dynamics with Chaos and Fractals

  • Publsiher : Springer Nature
  • Release : 01 January 2020
  • ISBN : 9783030358549
  • Page : 226 pages
  • Rating : 4/5 from 21 voters

Download or read book entitled Dynamics with Chaos and Fractals written by Marat Akhmet and published by Springer Nature online. This book was released on 01 January 2020 with total pages 226. Available in PDF, EPUB and Kindle. Get best books that you want by click Get Book Button and Read as many books as you like.

Book Excerpt : 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.

Dynamics with Chaos and Fractals

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Relase: 2020-01-01
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