Chaos synchronization of the Chua system with a fractional order

Physica A: Statistical Mechanics and its Applications

Volumn 360, Issue 2, 2006, Pages 171-185

  Li, C P ^a,c   Deng, W H ^a,b   Xu, D ^c  

^a SHANGHAI UNIVERSITY   (China)

^b LANZHOU UNIVERSITY   (China)

^c NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Chua system; Fractional order; Synchronization

Indexed keywords

COMPUTER SIMULATION; DECOMPOSITION; LAPLACE TRANSFORMS; STATISTICAL MECHANICS; SYNCHRONIZATION;

ACTIVE-PASSIVE DECOMPOSITION (PAD) METHOD; CHAOS SYNCHRONIZATION; CHUA SYSTEM; FRACTIONAL ORDER; PECORA-CARROLL (PC) METHOD;

CHAOS THEORY;

EID: 27744554781     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2005.06.078     Document Type: Article

References (21)

1. P.L. Butzer, and U. Westphal An Introduction to Fractional Calculus 2000 World Scientific Singapore
2. S.M. Kenneth, and R. Bertram An Introduction to the Fractional Calculus and Fractional Differential Equations 1993 Wiley-Interscience US
3. A. Oustlaoup Systèms asservis d'ordre fractionnaire 1983 Éditions Masson
4. B. Ross, Fractional calculus and its applications, in: Lecture Notes in Mathematics, Springer, Berlin, Proceedings of the International Conference, New Haven, June 1974.
5. R. Hilfer Applications of Fractional Calculus in Physics 2001 World Scientific New Jersey
6. T.T. Hartley, C.F. Lorenzo, and H.K. Qammer IEEE Trans. Circuits Syst. I 42 1995 485
7. P. Arena, R. Caponetto, L. Fortuna, and D. Porto Proceedings of ECCTD September 1997 Technical University of Budapest Budapest 1259
8. C.P. Li, and G.J. Peng Chaos Solitons Fractals 22 2004 443
9. D. Matignon, in: Computational Engineering in Systems and Application Multiconference, IMACS, IEEE-SMC, Lille, France, vol. 2, 1996, p. 963.
10. W.H. Deng, and C.P. Li Physica A 353 2005 61
11. G. Chen, and T. Ueta Int. J. Bifurc. Chaos 9 1999 1465
12. C.P. Li, and G. Chen Int. J. Bifurc. Chaos 13 2003 1609
13. W.H. Deng, and C.P. Li J. Phys. Soc. Jpn. 74 2005 1645
14. S. Boccaletti, J. Kurths, G. Osipov, D.L. Valladares, and C.S. Zhou Phys. Rep. 366 2002 1
15. M. Caputo Geophys. J. R. Astron. Soc. 13 1967 529
16. R.K. Madan Chua's Circuit: A Paradigm for Chaos 1993 World Scientific Singapore
17. J.P. Yan, and C.P. Li Chaos Solitons Fractals 23 2005 1683
18. K. Diethelm, N.J. Ford, and A.D. Freed Nonlinear Dyn. 29 2002 3
19. L.M. Pecora, and T.L. Carroll Phys. Rev. Lett. 64 1990 821
20. E.J. Muth Transform Methods with Applications to Engineering and Operations Research 1977 Prentice-Hall New Jersey
21. K. Diethelm, N.J. Ford, and A.D. Freed Numer. Algorithms 36 2004 31