Generic Phase Transition and Profit Singularities in Arnold's Model

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/5126 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/5126 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/5126 archive 351 disk0/00/00/77/80 2016-01-15 02:18:39 2021-08-27 17:19:15 2016-01-15 02:18:39 monograph show 2 Davydov A.A. 1803 Mena-Matos H. Generic Phase Transition and Profit Singularities in Arnold's Model pub iis_ecn iis_mod prog_dyn For one parametric smooth family of pairs of control systems and profit densities on the circle, the transition between optimal strategies of cyclic and stationary types in the problem of maximization of infinite horizon averaged profit is studied. We show that only two types of such transition can be observed for a generic pair, study the corresponding singularities of the averaged profit as a function of the family parameter and prove their stability to small perturbations of such a family. We also complete the classification of generic singularities of the maximum averaged profit for such families. 2005-12 published IR-05-058 IR-05-058 60 public interim_report IIASA, Laxenburg, Austria 18 FALSE info:eu-repo/semantics/book