TITLE:
New Types of Lambda-Transitive and Weakly Lambda-Mixing Sets
AUTHORS:
Mohammed Nokhas Murad Kaki
KEYWORDS:
Topological λ-Transitive sets, λ-Mixing, Weakly λ-Mixing Sets and Chaos
JOURNAL NAME:
Open Access Library Journal,
Vol.3 No.3,
March
25,
2016
ABSTRACT: This research paper is intended as a survey article on new types of
mixing, weakly mixing, transitive and chaotic sets in a topological dynamical
system. I mention here some new kinds of chaotic maps and chaotic sets and indicate
their connection between them. Chaotic behavior is a manifestation of the
complexity of nonlinear system. There are several different definitions of
topological transitive sets and chaos, which describe the complexity of systems
in different aspects. The present work mainly deals with some new types of
these definitions. In this project, I explain the main new ingredients of new
type of chaotic sets and transitive sets in a given topological space. Further
I illustrate relationship between the new and basic definitions of sets are
given.