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来源类型Article
规范类型其他
DOI10.1070/SM2007v198n01ABEH003827
Generic phase transitions and profit singularities in Arnol'd's model.
Davydov AA; Mena-Matos H
发表日期2007
出处Sbornik: Mathematics 198 (1): 21-42
出版年2007
语种英语
摘要For a smooth one-parameter family of pairs of control systems and profit densities on a circle, the generic transitions between optimal rotations and stationary strategies are studied in the problem of maximization of the time-averaged profit on the infinite horizon. It is shown that there are only two types of such transitions, the corresponding singularities of the average profit as a function of the family parameter are found, and it is proved that these singularities are stable under small perturbations of a generic family. The classification of singularities of the maximum average profit is completed for generic families.
主题Dynamic Systems (DYN)
URLhttp://pure.iiasa.ac.at/id/eprint/8109/
来源智库International Institute for Applied Systems Analysis (Austria)
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资源类型智库出版物
条目标识符http://119.78.100.153/handle/2XGU8XDN/128636
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GB/T 7714
Davydov AA,Mena-Matos H. Generic phase transitions and profit singularities in Arnol'd's model.. 2007.
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