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Entropy 2018, 20(1), 53; doi:10.3390/e20010053

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

1
Department of Biomedical and Electronic Engineering, Chonnam National University, Yeosu 59626, Korea
2
Division of Electrical Electronic Communication and Computer Engineering, Chonnam National University, Yeosu 59626, Korea
*
Author to whom correspondence should be addressed.
Received: 27 November 2017 / Revised: 11 January 2018 / Accepted: 11 January 2018 / Published: 12 January 2018
(This article belongs to the Special Issue Theoretical Aspect of Nonlinear Statistical Physics)
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Abstract

Based on the fractional order of nonlinear system for love model with a periodic function as an external environment, we analyze the characteristics of the chaotic dynamic. We analyze the relationship between the chaotic dynamic of the fractional order love model with an external environment and the value of fractional order (α, β) when the parameters are fixed. Meanwhile, we also study the relationship between the chaotic dynamic of the fractional order love model with an external environment and the parameters (a, b, c, d) when the fractional order of the system is fixed. When the parameters of fractional order love model are fixed, the fractional order (α, β) of fractional order love model system exhibit segmented chaotic states with the different fractional orders of the system. When the fractional order (α = β) of the system is fixed, the system shows the periodic state and the chaotic state as the parameter is changing as a result. View Full-Text
Keywords: chaotic dynamic; nonlinear system; fractional order; love model; parameter chaotic dynamic; nonlinear system; fractional order; love model; parameter
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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

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