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Chaotic Behavior in a Dynamic Love Model with Different External Forces

Bae, Youngchul

  • Received : 2015.12.09
  • Accepted : 2015.12.25
  • Published : 2015.12.25

Abstract

In this paper, we propose a dynamic mathematical model of love involving various external forces, in order to analyze the chaotic phenomena in a love model based on Romeo and Juliet. In addition, we investigate the nonlinear phenomena in a love model with external forces using time series and phase portraits. In order to describe nonlinear phenomena precisely using time series and phase portraits, we vary the type of external force, using models such as a sine wave, chopping wave, and square wave. We also apply various different parameters in the Romeo and Juliet model to acquire chaotic dynamics.

Keywords

Chaotic phenomena;Nonlinear dynamic;Love model;Time series;Phase portrait;External force

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