Nonlinear behavior in Romeo and Juliet's love model influenced by external force with fuzzy function

摘要

Over the last three decades, many researches have studied for chaotic dynamics in the field of mathematics, physics, chemistry, engineering, and social science. In this paper, we propose reasonable function that can describe mind of human by using fuzzy membership function. To do this, we use triangular fuzzy membership function and then we consider time-series and phase portrait with triangular fuzzy membership function as an external force. In order to get the nonlinear behaviors by using computer simulation, we fix three parameters( a, c, and d ) and vary parameter(b) for love model of Romeo and Juliet with external force of triangular fuzzy membership function. We shows nonlinear behaviors in love model of Romeo and Juliet with triangular fuzzy membership function by using time-series and phase portraits for variation of parameter b.