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Hausdorff dimension of the sets of Li-Yorke pairs for some chaotic dynamical systems including A -coupled expanding systems
- Source :
- Chaos, Solitons & Fractals. 109:246-251
- Publication Year :
- 2018
- Publisher :
- Elsevier BV, 2018.
-
Abstract
- In this paper we consider Hausdorff dimension of the sets of Li-Yorke pairs for some chaotic dynamical systems including A-coupled expanding systems. We prove that Li-Yorke pairs of A-coupled-expanding system under some conditions have full Hausdorff dimension in the invariant set. Moreover we give a generalization of the result of [5] which is on the Hausdorff dimension of Li-Yorke pairs of dynamical systems topologically conjugate to the full shift and have a self-similar invariant set, to the case of the dynamical systems topologically semi-conjugate to some kinds of subshifts. Furthermore Hausdorff dimension of “chaotic invariant set” for some kinds of A-coupled-expanding maps is shown.
- Subjects :
- Pure mathematics
Chaotic dynamical systems
Dynamical systems theory
General Mathematics
Applied Mathematics
010102 general mathematics
Chaotic
General Physics and Astronomy
Statistical and Nonlinear Physics
01 natural sciences
010305 fluids & plasmas
Hausdorff dimension
0103 physical sciences
0101 mathematics
Invariant (mathematics)
Topological conjugacy
Mathematics
Subjects
Details
- ISSN :
- 09600779
- Volume :
- 109
- Database :
- OpenAIRE
- Journal :
- Chaos, Solitons & Fractals
- Accession number :
- edsair.doi...........5fd8c24210d1b3412add07ab0eb31f90