Dynamical behaviors and synchronization in the fractional order hyperchaotic Chen system

Applied Mathematics Letters

Volumn 24, Issue 11, 2011, Pages 1938-1944

  Hegazi, A S ^a   Matouk, A E ^a,b  

^a Mansoura University   (Egypt)

^b UNIVERSITY OF HAIL   (Saudi Arabia)

Author keywords

Fractional order; Hyperchaos; Hyperchaotic Chen system; RouthHurwitz conditions; Synchronization

Indexed keywords

ANALYTICAL CONDITIONS; DYNAMICAL BEHAVIORS; FRACTIONAL ORDER; HYPER-CHAOTIC SYSTEMS; HYPERCHAOS; HYPERCHAOTIC CHEN SYSTEM; LINEAR CONTROLS; NUMERICAL RESULTS; ROUTH-HURWITZ;

DYNAMICS; LAPLACE TRANSFORMS; LINEAR CONTROL SYSTEMS; SYNCHRONIZATION;

CHAOTIC SYSTEMS;

EID: 79959780705     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2011.05.025     Document Type: Article

References (20)

1. P.L. Butzer, and U. Westphal An Introduction to Fractional Calculus 2000 World Scientific Singapore
2. H.H. Sun, A.A. Abdelwahab, and B. Onaral IEEE Trans. Automat. Control 29 1984 441
3. E. Ahmed, and A.S. Elgazzar Physica A 379 2007 607
4. A.M.A. El-Sayed, A.E.M. El-Mesiry, and H.A.A. El-Saka Appl. Math. Lett. 20 2007 817
5. M. Caputo Geophys. J. R. Astron. Soc. 13 1967 529
6. F. Ben Adda J. Fract. Calc. 11 1997 21
7. I. Podlubny Fract. Calc. Appl. Anal. 5 2002 367
8. A.E. Matouk Math. Probl. Eng. 2009 2009 Article ID 572724, 11 pages
9. C. Li, X. Liao, and K.W. Wong Chaos Solitons Fractals 23 2005 183
10. C. Li, and G. Chen Physica A 341 2004 55
11. J. Liu, X. Li, Synchronization of fractional hyperchaotic L system via unidirectional coupling method, in: Proceedings of the 7th World Congress on Intelligent Control and Automation, 2008, p. 4653.
12. X.Y. Wang, and J.M. Song Commun. Nonlinear Sci. Numer. Simul. 14 2009 3351
13. H. Deng, T. Li, Q. Wang, and H. Li Chaos Solitons Fractals 41 2009 962
14. A.E. Matouk Phys. Lett. A 373 2009 2166
15. D. Matignon, Stability results for fractional differential equations with applications to control processing, in: Computational Engineering in System Application, Lille, France, vol. 2, 1996, p. 963.
16. K. Diethelm, and N.J. Ford J. Math. Anal. Appl. 265 2002 229
17. K. Diethelm, N.J. Ford, and A.D. Freed Nonlinear Dynam. 29 2002 3
18. K. Diethelm Electron. Trans. Numer. Anal. 5 1997 1
19. Z. Yan Appl. Math. Comput. 168 2005 1239
20. H.D.I. Abarbanel Analysis of Observed Chaotic Data 1996 Springer-Verlag New York