Dynamics with Chaos and Fractals

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Éditeur :

Springer


Collection :

Nonlinear Systems and Complexity

Paru le : 2020-01-01

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Description

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.
Pages
226 pages
Collection
Nonlinear Systems and Complexity
Parution
2020-01-01
Marque
Springer
EAN papier
9783030358532
EAN PDF
9783030358549

Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
22
Taille du fichier
8417 Ko
Prix
147,69 €
EAN EPUB
9783030358549

Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
22
Taille du fichier
33546 Ko
Prix
147,69 €