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Mathematics > Dynamical Systems

arXiv:0711.1905 (math)
[Submitted on 13 Nov 2007 (v1), last revised 3 Jul 2008 (this version, v2)]

Title:Dynamics with choice

Authors:Lev Kapitanski, Sanja Živanović
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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.
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
Subjects: Dynamical Systems (math.DS); Classical Analysis and ODEs (math.CA)
MSC classes: 34D45, 35B41, 37N25
Cite as: arXiv:0711.1905 [math.DS]
  (or arXiv:0711.1905v2 [math.DS] for this version)
  https://doi.org/10.48550/arXiv.0711.1905

Submission history

From: Lev Kapitanski [view email]
[v1] Tue, 13 Nov 2007 02:38:47 UTC (963 KB)
[v2] Thu, 3 Jul 2008 18:25:34 UTC (1,347 KB)
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