| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659312 | Topology and its Applications | 2011 | 9 Pages |
Abstract
A dynamical system consists of a phase space of possible states, together with an evolution rule that determines all future states and all past states given a state at any particular moment. In this paper, we show that for any countable random infinite bi-sequences of states of some phase space, there exists an evolution rule in C0-topology which realizes precisely the given sequences of states on their orbits and satisfies some regular conditions on the times to realize the states.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
