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A weakly mixing dynamical system with the whole space being a transitive extremal distributionally scrambled set
- Source :
- Chaos, Solitons & Fractals. 70:130-133
- Publication Year :
- 2015
- Publisher :
- Elsevier BV, 2015.
-
Abstract
- It is known that the whole space can be a Li–Yorke scrambled set in a compact dynamical system, but this does not hold for distributional chaos. In this paper we construct a noncompact weekly mixing dynamical system, and prove that the whole space is a transitive extremal distributionally scrambled set in this system.
- Subjects :
- Combinatorics
Set (abstract data type)
Physics::General Physics
Transitive relation
General Mathematics
Applied Mathematics
General Physics and Astronomy
Statistical and Nonlinear Physics
Space (mathematics)
Dynamical system (definition)
Physics::History of Physics
Mixing (physics)
Mathematics
Subjects
Details
- ISSN :
- 09600779
- Volume :
- 70
- Database :
- OpenAIRE
- Journal :
- Chaos, Solitons & Fractals
- Accession number :
- edsair.doi...........648f2fead1939647b0f79da39c040021