| 来源类型 | Article |
| 规范类型 | 其他 |
| DOI | 10.1080/0022250X.1999.9990221 |
| Petrarch's "Canzoniere": Rational addiction and amorous cycles. | |
| Jorgensen SA; Feichtinger G; Novak A | |
| 发表日期 | 1999 |
| 出处 | Journal of Mathematical Sociology 23 (3): 225-240 |
| 出版年 | 1999 |
| 语种 | 英语 |
| 摘要 | The paper is concerned with a celebrated collection of love poems, the 14th century Italian poet Francis Petrarch's Canzoniere. A striking feature of these poems is the emotional ups and downs experienced by Petrarch and his platonic mistress Laura. Recently, attempts have been made to model these emotional swings by catastrophe theory or nonlinear differential equations. This paper takes a different approach. Starting with a pair of differential equations that model the dynamics of the emotions of the two individuals, we formulate an optimal control problem. A key hypothesis of this problem is that Petrarch was a rational addict of his desire for Laura. With specific functional forms and parameter values we identify a stable limit cycle that gives a representation of the oscillating emotions of Laura and Petrarch. |
| 主题 | World Population (POP) |
| 关键词 | Differential equations optimal control theory addictive behavior limit cycle love affairs |
| URL | http://pure.iiasa.ac.at/id/eprint/5740/ |
| 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/127849 |
| 推荐引用方式 GB/T 7714 | Jorgensen SA,Feichtinger G,Novak A. Petrarch's "Canzoniere": Rational addiction and amorous cycles.. 1999. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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