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

Advances in Intelligent and Soft Computing

Volumn 100, Issue , 2011, Pages 349-356

  Gu, Rencai ^a   Xu, Yong ^a  

^a NORTHWESTERN POLYTECHNICAL UNIVERSITY   (China)

Author keywords

Chaotic behaviors; Control; Fractional order model of love

Indexed keywords

CHAOTIC BEHAVIORS; CONTROL PROBLEMS; DYNAMICAL MODEL; FRACTIONAL ORDER; FRACTIONAL-ORDER MODEL OF LOVE; MODEL PARAMETERS; RICH DYNAMICS; ROMANTIC RELATIONSHIP; STABILITY OF EQUILIBRIUM;

BEHAVIORAL RESEARCH; COMPUTER SIMULATION; CONTROL; DYNAMICS;

MATHEMATICAL MODELS;

EID: 80052954741     PISSN: 18675662     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-22833-9_42     Document Type: Conference Paper

References (16)

1. Arena, P., Caponetto, R., Fortuna, L., Porto, D.: Bifurcation and chaos in noninteger order cellular neural networks. Int. J. Bifurcat. Chaos 7, 1527-1539 (1998)
2. Bagley, R., Calico, R.A.: Fractional order state equations for the control of viscoelastically damped structures. J. Guid. Control dynam. 14, 304-311 (1991)
3. Chen, A.M., Lu, J.A., Lü, J.H., Yu, S.M.: Generating hyperchaotic Lü attractor via state feedback control. Physica A 364, 103-110 (2006)
4. Hartley, T.T., Lorenzo, C.F., Qammer, H.: Chaos in a fractional order Chua's system. IEEE Trans. CAS-I 42, 485-490 (1995)
5. Hilfer, R.: Applications of Fractional Calculus in Physics. World Scientific, New Jersey (2000)
6. Koeller, R.C.: Application of fractional calculus to the theory of viscoelasticity. J. Appl. Mech. 51, 294-298 (1984)
7. Koeller, R.C.: Polynomial operators, Stieltjes convolution, and fractional calculus in hereditary mechanics. Acta Mech. 58, 251-264 (1986)
8. Li, C.P., Chen, G.: Chaos in the fractional order Chen system and its control. Chaos Soliton Fract 22, 549-554 (2004)
9. Li, C.P., Peng, G.J.: Chaos in Chen's system with a fractional order. Chaos Soliton Fract 22, 443-450 (2004)
10. Matouk, A.E.: Dynamical analysis feedback control and synchronization of Liu dynamical system. Nonlinear Anal. 69, 3213-3224 (2008)
11. Pecora, L.M., Carroll, T.L.: Synchronization in chaotic systems. Phys. Rev. Lett. 64, 821-824 (1990)
12. Song, L., Xu, S.Y., Yang, M.J.: Dynamical models of happiness with fractional order. Commun. Nonlinear Sci. Numer. Simulat. 15, 616-628 (2010)
13. Sprott, J.C.: Dynamical models of love. Nonlinear Dyn. Psychol. Life Sci. 3, 303-314 (2004)
14. Sprott, J.C.: Dynamical models of happiness. Nonlinear Dyn. Psychol. Life Sci. 9, 23-36 (2005)
15. Strogatz, S.: Love affairs and differential equations. Math. Mag. 61, 35 (1988)
16. Yu, Y., Li, H., Wang, S., Yu, J.: Dynamic analysis of a fractional-order Lorenz chaotic system. Chaos Soliton Fract 42, 1181-1189 (2009)