Chaos Control and Synchronization of Dynamical Model of Happiness with Fractional Order

被引：0

作者：

Song, Lei ^{[1
]}

Yang, Jianying ^{[1
]}

机构：

[1] Peking Univ, State Key Lab Turbulence & Complex Syst, Coll Engn, Beijing 100871, Peoples R China

来源：

ICIEA: 2009 4TH IEEE CONFERENCE ON INDUSTRIAL ELECTRONICS AND APPLICATIONS, VOLS 1-6 | 2009年

关键词：

Fractional order system; Happiness; Chaos; Emotion control; Emotion synchronization; EQUATION; SYSTEM;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper examines fractional-order dynamical model of happiness. The dynamics of this system is studied numerically. The system displays many different dynamic behaviors, such as periodic motions, chaotic motions and divergence. It was found that chaos exists in the fractional-order system with order less than 3. In this study, the lowest order for this system to yield chaos is 2.97. The results are validated by the existence of a positive Lyapunov exponent. Moreover, chaos control and synchronization are also discussed here, which is a step into the research field of psychology on emotion control and synchronization by using fractional order models.

引用

页码：910 / 915

页数：6

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