eprintid: 4959 rev_number: 21 eprint_status: archive userid: 351 dir: disk0/00/00/49/59 datestamp: 2016-01-15 02:07:53 lastmod: 2021-08-27 17:15:45 status_changed: 2016-01-15 02:07:53 type: monograph metadata_visibility: show item_issues_count: 2 creators_name: Rinaldi, S. creators_id: 7286 title: Love Dynamics: The Case of Linear Couples ispublished: pub internal_subjects: iis_mod internal_subjects: iis_sys divisions: prog_dyn abstract: This paper proposes a minimal model composed of two ordinary differential equations to describe the dynamics of love between two individuals. The equations take into account three mechanisms of love growth and decay: the pleasure of being loved (return), the reaction to the partner's appeal (instinct), and the forgetting processes (oblivion). Under suitable assumptions on the behavior of the individuals, the model turns out to be a positive linear system enjoying, as such, a number of remarkable properties, which are in agreement with common wisdom on the argument. These properties are used to explore the consequences that individual behavior can have on the population structure. The main result along this line is that individual appeal is the driving force that creates order in the population. Possible extensions of this theory of linear love dynamics are briefly discussed. date: 1996-06 date_type: published publisher: WP-96-068 iiasapubid: WP-96-068 price: 10 creators_browse_id: 253 full_text_status: public monograph_type: working_paper place_of_pub: IIASA, Laxenburg, Austria pages: 26 coversheets_dirty: FALSE fp7_type: info:eu-repo/semantics/book citation: Rinaldi, S. (1996). Love Dynamics: The Case of Linear Couples. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-96-068 document_url: https://pure.iiasa.ac.at/id/eprint/4959/1/WP-96-068.pdf