Scrambled Cantor sets
| Autor: | Benjamin D. Miller, Jan Grebík, Stefan Geschke |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics::Physics and Society
Pure mathematics Mathematics::Dynamical Systems Applied Mathematics General Mathematics 010102 general mathematics Mathematics - Logic Dynamical Systems (math.DS) 03E15 28A05 37B05 01 natural sciences CHAOS (operating system) Nonlinear Sciences::Chaotic Dynamics Computer Science::Multimedia FOS: Mathematics 0101 mathematics Mathematics - Dynamical Systems Logic (math.LO) Mathematics Computer Science::Cryptography and Security |
| DOI: | 10.48550/arxiv.2006.08277 |
| Popis: | We show that Li-Yorke chaos ensures the existence of a scrambled Cantor set. Comment: We have added several references in an attempt to better motivate our main result and clarify its relationship to previous work, and shifted the focus of the paper to the special case of what was previously our main result that should be of greatest interest to those working in dynamical systems |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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