Dynamics with choice
Abstract
Dynamics with choice is a generalization of discrete-time dynamics where instead of the same evolution operator at every time step there is a choice of operators to transform the current state of the system. This notion is new and interesting from the mathematical point of view. At the same time, many real life processes studied in chemical physics, engineering, biology and medicine, from autocatalytic reaction systems to switched systems to cellular biochemical processes to malaria transmission in urban environments, exhibit the properties described by dynamics with choice. We study the long-term behavior in dynamics with choice.
Cite
@article{arxiv.0711.1905,
title = {Dynamics with choice},
author = {Lev Kapitanski and Sanja Živanović},
journal= {arXiv preprint arXiv:0711.1905},
year = {2008}
}
Comments
Section 2.3.5 is re-written: the correct version of Lemma 12 is given and we provide an explicit example of the Gestalt effect. In Section 2.3.4, steps 5 and 6 are combined in one step. Some changes in the Introduction are made and a reference is added