Invariant scrambled sets and maximal distributional chaos

• Autorzy: Xinxing Wu , Peiyong Zhu
• Języki publikacji: EN

Abstrakty

EN

For the full shift (Σ₂,σ) on two symbols, we construct an invariant distributionally ϵ-scrambled set for all 0 < ϵ < diam Σ₂ in which each point is transitive, but not weakly almost periodic.

Kategorie tematyczne

• 37B40: Topological entropy
• 37D45: Strange attractors, chaotic dynamics
• 54H20: Topological dynamics
• 26A18: Iteration
• 28D20: Entropy and other invariants

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2013
• Tom: 109
• Numer: 3
• Strony: 271-278

Daty

wydano

2013

Twórcy

autor

Xinxing Wu

• School of Mathematics, University of Electronic Science, and Technology of China, Chengdu, Sichuan, 611731, People's Republic of China
• Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, People's Republic of China

autor

Peiyong Zhu

• School of Mathematics, University of Electronic Science, and Technology of China, Chengdu, Sichuan, 611731, People's Republic of China

Identyfikatory

DOI

10.4064/ap109-3-3