Coverart for item
The Resource Dynamics with Chaos and Fractals, by Marat Akhmet, Mehmet Onur Fen, Ejaily Milad Alejaily, (electronic resource)

Dynamics with Chaos and Fractals, by Marat Akhmet, Mehmet Onur Fen, Ejaily Milad Alejaily, (electronic resource)

Label
Dynamics with Chaos and Fractals
Title
Dynamics with Chaos and Fractals
Statement of responsibility
by Marat Akhmet, Mehmet Onur Fen, Ejaily Milad Alejaily
Creator
Contributor
Author
Subject
Language
eng
Summary
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. 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 .--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Akhmet, Marat
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Fen, Mehmet Onur
  • Alejaily, Ejaily Milad
Series statement
  • Nonlinear Systems and Complexity,
  • Springer eBooks.
Series volume
29
http://library.link/vocab/subjectName
  • Mathematical physics
  • Computational complexity
  • Statistical physics
  • Dynamics
  • Ergodic theory
  • Engineering mathematics
Label
Dynamics with Chaos and Fractals, by Marat Akhmet, Mehmet Onur Fen, Ejaily Milad Alejaily, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-35854-9
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
978-3-030-35854-9
Dimensions
unknown
Edition
1st ed. 2020.
Extent
1 online resource (XIII, 226 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783030358549
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
76 illustrations, 71 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1134853508
Label
Dynamics with Chaos and Fractals, by Marat Akhmet, Mehmet Onur Fen, Ejaily Milad Alejaily, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-35854-9
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
978-3-030-35854-9
Dimensions
unknown
Edition
1st ed. 2020.
Extent
1 online resource (XIII, 226 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783030358549
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
76 illustrations, 71 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1134853508

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