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portada Dynamics with Chaos and Fractals
Type
Physical Book
Author
Publisher
Language
English
Pages
226
Format
Paperback
ISBN13
9783030358563
Categories

Dynamics with Chaos and Fractals

Marat Akhmet (Author) · Mehmet Onur Fen (Author) · Ejaily Milad Alejaily (Author) · Springer · Paperback

Dynamics with Chaos and Fractals - Akhmet, Marat ; Fen, Mehmet Onur ; Alejaily, Ejaily Milad

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Synopsis "Dynamics with Chaos and Fractals"

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.

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