Title :
Chaos control and synchronization of dynamical model of happiness with fractional order
Author :
Song, Lei ; Yang, Jianying
Author_Institution :
State Key Lab. for Turbulence & Complex Syst., Peking Univ., Beijing, China
Abstract :
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.
Keywords :
Lyapunov methods; chaos; nonlinear control systems; nonlinear dynamical systems; synchronisation; Lyapunov exponent; chaos control; chaotic motion; fractional-order dynamical model; fractional-order system; happiness model; periodic motion; synchronization; Chaos; Control systems; Displays; Educational institutions; Equations; Fractional calculus; History; Physics; Psychology; Systems engineering and theory; Chaos; Emotion control; Emotion synchronization; Fractional order system; Happiness;
Conference_Titel :
Industrial Electronics and Applications, 2009. ICIEA 2009. 4th IEEE Conference on
Conference_Location :
Xi´an
Print_ISBN :
978-1-4244-2799-4
Electronic_ISBN :
978-1-4244-2800-7
DOI :
10.1109/ICIEA.2009.5138330
