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 poin...

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Bibliographic Details
Main Authors: Akhmet, Marat, Fen, Mehmet Onur (Author), Alejaily, Ejaily Milad (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2020, 2020
Edition:1st ed. 2020
Series:Nonlinear Systems and Complexity
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Chapter 1. Introduction
  • Chapter 2. The Unpredictable Point and Poincare Chaos
  • Chapter 3. Unpredictability in Bebutov Dynamics
  • Chapter 4. Non-linear Unpredictable Perturbations
  • Chapter 5. Unpredictability in Topological Dynamics
  • Chapter 6. Unpredictable Solutions of Hyperbolic Linear Equations
  • Chapter 7. Strongly Unpredictable Solutions
  • Chapter 8. Li-Yorke Chaos in Hybrid Systems on a Time Scale
  • Chapter 9. Homoclinic and Heteroclinic Motions in Economic Models
  • Chapter 10. Global Weather and Climate in the light of El Nino-Southern Oscillation
  • Chapter 11. Fractals: Dynamics in the Geometry
  • Chapter 12. Abstract Similarity, Fractals and Chaos