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来源类型 | Article |
规范类型 | 其他 |
DOI | 10.1070/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) |
URL | http://pure.iiasa.ac.at/id/eprint/8109/ |
来源智库 | International Institute for Applied Systems Analysis (Austria) |
引用统计 | |
资源类型 | 智库出版物 |
条目标识符 | http://119.78.100.153/handle/2XGU8XDN/128636 |
推荐引用方式 GB/T 7714 | Davydov AA,Mena-Matos H. Generic phase transitions and profit singularities in Arnol'd's model.. 2007. |
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