Dynamics with choice

DOI10.1088/0951-7715/22/1/009zbMath1153.93018arXiv0711.1905OpenAlexW2029587689MaRDI QIDQ5504146

Publication date: 21 January 2009

Published in: Nonlinearity (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/0711.1905

zbMATH Keywords

discrete-time dynamics global compact attractors in dynamics with choice long-term behaviour in dynamics with choice

Mathematics Subject Classification ID

Attractors (35B41) Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Attractors of solutions to ordinary differential equations (34D45) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)