Often love affairs are instable, fleeting and unpredictable. It seems emotions change in a chaotic way. On this assumptions some mathematicians recently modeled a love relationship in terms of dynamic system. One of the case study of this kind of works is Jules et Jim, the autobiographical novel of Henri Pierre Roché and his cinematographic version by François Truffaut. The main psycho-physical features of the three characters and their long and turbulent triadic relationship have been synthesized in a mathematical model enlightening the relationship as a real chaotic system.

Since we strongly agree with Kurt Richardson that «there exists an infinitude of equally valid, non-overlapping, potentially contradictory descriptions» for any complex system. And there is «the need for synthesizing a wide variety of perspectives in an effort to better understand the problem at hand, and how we might collectively act to solve it» and we strongly agree with Paul Cilliers that when: «dealing with complexity there are simultaneous roles for the natural and the human sciences, for both mathematics and imagination», we asked our student to model the Jules, Jim and Catherine System form their point of view, using the designer visual attitude, to better understand it.

We know that Complex system and chaotic one are not the same thing, anyway here are the diagrams resulting from our experiments

References
Rinaldi Sergio, 1998. Laura and Petrarch: An intriguing case of cyclical love dynamics.
http://www.siam.org/journals/siap/58-4/30592.html.
http://epubs.siam.org/sam-bin/getfile/SIAP/articles/30592.pdf

Strogatz Steven, 1998. Love affairs and differential equations
http://tam.cornell.edu/SS love dEq.pdf

Ivars Peterson:
http://www.maa.org/mathland/mathtrek 9 7 98.html

Cilliers, Paul, 2005. Knowing Complex Systems.

Richardson, Kurt A, 2008. Managing Complex Organizations: Complexity Thinking and the Science and Art of Management.