Generic Phase Transition and Profit Singularities in Arnold's Model

Davydov, A.A. & Mena-Matos, H. (2005). Generic Phase Transition and Profit Singularities in Arnold's Model. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-05-058

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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.

Item Type: Monograph (IIASA Interim Report)
Research Programs: Dynamic Systems (DYN)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 02:18
Last Modified: 27 Aug 2021 17:19

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