Achieving synchronization between the fractional-order hyperchaotic Novel and Chen systems via a new nonlinear control technique

Applied Mathematics Letters

Volumn 29, Issue , 2014, Pages 30-35

  Matouk, A E ^a   Elsadany, A A ^b  

^a UNIVERSITY OF HAIL   (Saudi Arabia)

^b Old Campus   (Egypt)

Author keywords

Fractional order; Hyperchaotic Chen system; Hyperchaotic Novel system; Stability conditions; Synchronization

Indexed keywords

EXISTENCE AND UNIQUENESS OF SOLUTION; FRACTIONAL ORDER; FRACTIONAL-ORDER HYPERCHAOTIC; HYPERCHAOTIC; HYPERCHAOTIC CHEN SYSTEM; NONLINEAR CONTROL TECHNIQUE; STABILITY CONDITION; SYNCHRONIZATION SCHEME;

CHAOTIC SYSTEMS; SYNCHRONIZATION;

SYSTEM STABILITY;

EID: 84889092327     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2013.10.010     Document Type: Article

References (26)

1. R. Hilfer Applications of Fractional Calculus in Physics 2000 World Scientific River Edge, NJ, USA
2. H.H. Sun, A.A. Abdelwahab, and B. Onaral IEEE Trans. Automat. Control 29 1984 441
3. I. Podlubny Fractional Differential Equations 1999 Academic Press New York
4. E. Ahmed, and A.S. Elgazzar Physica A 379 2007 607
5. A.M.A. El-Sayed, A.E.M. El-Mesiry, and H.A.A. El-Saka Appl. Math. Lett. 20 2007 817
6. N. Laskin Physica A 287 2000 482
7. W.M. Ahmad, and R. El-Khazali Chaos Solitons Fractals 33 2007 1367
8. L.M. Pecora, and T.L. Carroll Phys. Rev. Lett. 64 1990 821
9. E.S. Kurkina, and E.D. Kuretuva Comput. Math. Model. 15 2004 38
10. Z. Xianlin, H. Qing, Global synchronization of biological network systems with time-varying delays, Analysis and Control of Chaotic Systems, vol. 3, Cancún, Mexico, 2012, p. 75.
11. W.C. Yueh, and S.S. Cheng Chaos Solitons Fractals 30 2006 734
12. Santo Banerjee Chaos Synchronization and Cryptography for Secure Communications: Applications for Encryption, Information Science Reference 2011 IGI Global New York, USA
13. C. Li, X. Liao, and K.W. Wong Chaos Solitons Fractals 23 2005 183
14. C.G. Li, and G. Chen Physica A 341 2004 55
15. A.S. Hegazi, and A.E. Matouk Appl. Math. Lett. 24 2011 1938
16. A.E. Matouk Phys. Lett. A 373 2009 2166
17. C. Liu, and J. Lu Internat. J. Modern Phys. B 24 2010 1299
18. S.P. Wang, S.K. Lao, H.K. Chen, J.H. Chen, and S.Y. Chen Internat. J. Bifur. Chaos 23 2013 1350030
19. M. Caputo Geophys. J. R. Astron. Soc. 13 1967 529
20. K. Diethelm, and N.J. Ford J. Math. Anal. Appl. 265 2002 229
21. D. Matignon, Stability results for fractional differential equations with applications to control processing, in: Computational Engineering in System Application, vol. 2, Lille, France, 1996, p. 963.
22. K. Diethelm, N.J. Ford, and A.D. Freed Nonlinear Dynam. 29 2002 3
23. Z. Odibat, and S. Momani Int. J. Nonlinear Sci. Numer. Simul. 7 1 2006 27
24. S. Momani, and Z. Odibat J. Comput. Appl. Math. 207 1 2007 96
25. H.D.I. Abarbanel Analysis of Observed Chaotic Data 1996 Springer-Verlag New York
26. A.E. Matouk Math. Probl. Eng. 2009 2009 11 Article ID 572724