Chaos-related properties on the product of semiflows

Authors

ALICA MILLER
CHAD MONEY

DOI

10.3906/mat-1612-39

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.

Keywords

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

First Page

1323

Last Page

1336

Recommended Citation

MILLER, ALICA and MONEY, CHAD (2017) "Chaos-related properties on the product of semiflows," Turkish Journal of Mathematics: Vol. 41: No. 5, Article 21. https://doi.org/10.3906/mat-1612-39
Available at: https://journals.tubitak.gov.tr/math/vol41/iss5/21