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Levels of generalized expansiveness
- Publication Year :
- 2015
-
Abstract
- We study a class of generalized expansive dynamical systems for which at most countable orbits can be accompanied by an arbitrary given orbit. Examples of different levels of generalized expansiveness are constructed. When the dynamical system is countable, a characterization of n-expansiveness is given for any natural number n, and as a consequence examples of dynamical systems with van der Waerden depth equal to any given countable ordinal are demonstrated, which solves open questions existing in the literature.
- Subjects :
- Mathematics - Dynamical Systems
37B05, 37B45, 54H20
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1503.03387
- Document Type :
- Working Paper