Chaos in a fractional-order dynamical model of love and its control

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17 Scopus citations

Abstract

This paper aims at investigating the dynamics of fractional-order model of love in the fact that fractional-order derivatives could possess memories by which romantic relationships are naturally impacted. Based on the discussions of properties including the stability of equilibrium points, chaotic behaviors and typical bifurcations, we found rich dynamics exhibited by the fractional-order love system with proper fractional order and model parameters. Besides, the control problems were studied theoretically and the simulation results illustrated the effectiveness of the proposed methods.

Original languageEnglish
Title of host publicationNonlinear Mathematics for Uncertainty and its Applications
EditorsShoumei Li, Li Guan, Xia Wang, Yoshiaki Okazaki, Jun Kawabe, Toshiaki Murofushi
Pages349-356
Number of pages8
DOIs
StatePublished - 2011

Publication series

NameAdvances in Intelligent and Soft Computing
Volume100
ISSN (Print)1867-5662

Keywords

  • Chaotic behaviors
  • Control
  • Fractional-order model of love

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