Chaotic family dynamics
B. W. Smith
Department of Family Practice, College of Human Medicine, Michigan State University, East Lansing.
This article illustrates the basic features of chaotic systems and
demonstrates some of the differences between chaotic and nonchaotic
systems. To facilitate the explanation of advanced mathematical ideas, this
presentation is couched in terms of the interactions within two families:
the Limit family and the Scroll family. A nonchaotic model of the Limit
family leads to repetitive sequences of affection and hostility between
husband and wife. The Scroll family model demonstrates the dynamics of a
truly chaotic system; it leads to alternating episodes of mutual endearment
and mutual aversion between mother and daughter. Problems of measurement
that would accompany the use of these models are mentioned.
