Devaney.s De.nition of chaos and other forms
Dissertant
Thesis advisor
Comitee Members
University
Birzeit University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (West Bank)
Degree
Master
Degree Date
2012
English Abstract
-We discuss in this thesis 17 notions of chaos which are commonly used in the mathematical literature and related denitions, namely those being in- troduced by Devaney, Turbulence, Liapounove, Robinson, Wiggins, Touhey, Experimantalists, Knudsen, P-chaos, Martelli, Block-Coppel, Li-Yorke, En- tropy, Auslander, Smital, Kato,and S.Li respectively.
We in particular show that for continuous mappings of a compact interval into itself the notions of chaos are equivalent ( except the notion in sense of Li and Yorke ) while each of these is su¢ cient but not necessary for chaos in the sense of Li & Yorke.
We also give examples indicating that in the general context of continuous mappings between compact metric spaces the relation between these notions of chaos is more involved.
Main Subjects
No. of Pages
181
Table of Contents
Table of contents.
Abstract.
Chapter one : Preliminaries.
Chapter two : Definitions of chaos.
Chapter three : Related definitions of chaos and cross-links.
Chapter four : Relationships between Definitions of chaos when X = I.
Chapter five : The relations of the Definitions in general case.
Chapter six : Conclusion.
References.
American Psychological Association (APA)
Abu Khalil, Bashir. (2012). Devaney.s De.nition of chaos and other forms. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-316136
Modern Language Association (MLA)
Abu Khalil, Bashir. Devaney.s De.nition of chaos and other forms. (Master's theses Theses and Dissertations Master). Birzeit University. (2012).
https://search.emarefa.net/detail/BIM-316136
American Medical Association (AMA)
Abu Khalil, Bashir. (2012). Devaney.s De.nition of chaos and other forms. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-316136
Language
English
Data Type
Arab Theses
Record ID
BIM-316136
