Petrarch's canzoniere
Rational addiction and amorous cycles
Bibliographic Data
| ID | 10142492 |
|---|---|
| Authors | Gustav Feichtinger (0000-0001-8815-0203, TU Wien, corresponding author), Steffen Jørgensen (0000-0002-6280-873X), Andreas J Novák, Andréas Novak (University of Vienna) |
| Year | 1999 |
| Volume | 23 |
| Issue | 3 |
| Pages | 225-240 |
| Publication date | 1999-01-01 |
| Peer Reviewed | Yes |
| Open Access | No |
| Type | ARTICLE |
| Venue | Journal of Mathematical Sociology (JOURNAL) |
| Journal identifiers | ISSN: 0022-250X • E-ISSN: 1545-5874 |
| Publisher | Taylor & Francis (PUBLISHER • GB) |
| DOI | 10.1080/0022250x.1999.9990221 |
| OpenAlex | W1992227033 |
| Language | EN |
| Citations received | 2 |
| References cited | 10 |
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
Art · Content (measure theory · Differential (mechanical device · Key (lock · Limit (mathematics · Limit cycle · Literature · Mathematical analysis · Physics · Poetry · Psychoanalysis · Representation (politics · Advanced Differential Equations and Dynamical Systems · Chaos control and synchronization · Computer Science · Law · Mathematical and Theoretical Epidemiology and Ecology Models · Mathematics · Philosophy · Psychology
| Unique citing works | 2 |
|---|---|
| Citations per year | 0,14 |
| Citation span | 2012 - 2015 (4) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 2 |