Analysis of Nonlinear Dynamics in Family Model including Parent-in-Law

Abstract Recently, it is emphasized importance of family. The new family organize including husband and wife are created by caused marriage, they organize new family including wife’s home and husband’s home. As a result, they may experience about conflict or peace between new family and previous family. The research of family mainly have been studied in the social science side. However, b ecause researchers of social science deals with linguistic emotion status, there is no mathematical modeling for family relationship. In this paper, one of the nonlinear research for social subject, we modify love model of Romeo and Juliet.Then we propose novel family relationship model for parent-in-law and daughter (or son)-in- law relation. We also confirm chaotic behavior or nonlinear behavior by time series and phase portrait.Key Words : Family, Nonlinear behavior, Chaotic phenomena, Phase portrait, Time seriesReceived: Dec. 24, 2015Revised : Jan. 4, 2016Accepted: Feb. 3, 2016