Preprint Article Version 1 This version is not peer-reviewed

Chaotic Dynamics of the Fractional-Love Model with an External Force

Version 1 : Received: 27 November 2017 / Approved: 30 November 2017 / Online: 30 November 2017 (10:02:40 CET)

A peer-reviewed article of this Preprint also exists.

Huang, L.; Bae, Y. Chaotic Dynamics of the Fractional-Love Model with an External Environment. Entropy 2018, 20, 53. Huang, L.; Bae, Y. Chaotic Dynamics of the Fractional-Love Model with an External Environment. Entropy 2018, 20, 53.

Journal reference: Entropy 2018, 20, 53
DOI: 10.3390/e20010053

Abstract

Based on the fractional order of nonlinear system for love model with a periodic function as an external force, analyzed the characteristics of the chaotic dynamic in this study. The relationship between the chaotic dynamic of the fractional-love model with the external force and the fractional-order system was analyzed when the parameters are fixed. Further, we also studied the relationship between the chaotic systemic dynamic and the parameters when the fractional-order system is fixed. The results show that when the parameters are fixed, the fractional-order system exhibited segmented chaotic states for the different fractional orders of the system. When fixed the fractional-order system, the system exhibited the periodic and chaotic states as parameter changes.

Subject Areas

Chaotic dynamic; nonlinear system; fractional order; Love model; parameter;

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