Chaos-related properties on the product of semiflows

Authors

ALICA MILLER
CHAD MONEY

Abstract

In this paper we generalize some results about the chaos-related properties on the product of two semiflows, which appeared in the lite\-rature in the last few years, to the case of the most general possible acting monoids. In order to do that we introduce some new notions, namely the notions of a directional, psp and sip monoid, and the notion of a strongly transitive semiflow. In particular, we obtain a sufficient condition for the Devaney chaoticity of a product, which works for the (very large) class of the psp acting monoids.

DOI

10.3906/mat-1612-39

Keywords

Product of semiflows, directional monoid, psp monoid, sip monoid, Devaney chaos

First Page

1323

Last Page

1336

Recommended Citation

MILLER, A, & MONEY, C (2017). Chaos-related properties on the product of semiflows. Turkish Journal of Mathematics 41 (5): 1323-1336. https://doi.org/10.3906/mat-1612-39