- Turkish Journal of Mathematics
- Vol: 41 Issue: 5
- Chaos-related properties on the product of semiflows
Chaos-related properties on the product of semiflows
Authors : Alica Miller, Chad Money
Pages : 1323-1336
View : 7 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
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