Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616300 | Journal of Mathematical Analysis and Applications | 2014 | 6 Pages |
Abstract
We study expansivity in functional envelopes of dynamical systems. Our main result is that if the phase space of the original system contains an arc or if it contains a free infinite zero dimensional set, then the expansivity in the functional envelope with Hausdorff metric is impossible. This is in contrast with the fact that, when considering the uniform metric in functional envelopes, the expansivity of a system is equivalent with the expansivity of its functional envelope.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Tarun Das, Ekta Shah, LʼubomÃr Snoha,