Synchronization between two chaotic systems with different order by using active control

International Journal of Nonlinear Sciences and Numerical Simulation

Volumn 6, Issue 3, 2005, Pages 249-254

  Ho, Ming Chung ^a   Hung, Yao Chen ^b   Jiang, I Min ^b  

^a NATIONAL KAOHSIUNG NORMAL UNIVERSITY   (Taiwan)

^b NATIONAL SUN YAT SEN UNIVERSITY   (Taiwan)

Author keywords

Active control; Synchronization

Indexed keywords

EID: 20744459413     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: 10.1515/IJNSNS.2005.6.3.249     Document Type: Article

References (23)

1. Pecora, L.M., Carroll T.L. Synchronization in chaotic systems, Phys. Rev. Lett., 64(8) (1990), 821-4.
2. He, R., Vaidya, P.G. Analysis and synthesis of synchronous periodic and chaotic systems, Phys Rev A, 46 (1992), 7387-92.
3. Kocarev, L., Parlitz, U. General approach for chaotic synchronization with applications to communication, Phys. Rev. Lett., 74 (1995), 5028-31.
4. Guemez, J., Matias, M.A. Modified method for synchronizing and cascading chaotic systems, Phys Rev E, 52 (1995), R2145-8.
5. Parlitz, U., Kocarev, L., Stojanovski, T., Preckel, H. Encoding messages using chaotic synchronization, Phys Rew E, 53 (1996), 4351-61.
6. Liao, T.L., Huang, N.S. Control and synchronization of discrete-time chaotic systems via variable structure control technique, Phys Lett A, 234 (1997), 262-8.
7. Liao, T.L. Adaptive synchronization of two Lorenz systems, Chaos, Solitons & Fractals, 9(1998), 1555-61.
8. Wang, H., Lu Q., Wang Q., Generation of Firing Rhythm Patterns and Synchronization in the Morris-Lecar Neuron Model, International Journal of Nonlinear Sciences and Numerical Simulation, 6(1) (2005), 7-12.
9. Kang, Y., Xu, J., Jin, W. Stochastic Synchronization and Aperiodic Stochastic Resonance of a Unidirectionally Coupled Single-mode Optical System, International Journal of Nonlinear Sciences and Numerical Simulation, 6(1) (2005) 19-2410.
10. Ho, M.C., Hung, Y.C. Synchronization of two different systems by using generalized active control, Phys Lett A, 301 (2002), 424-8.
11. Huang, L., Feng, R., Wang, M. Synchronization of chaotic systems via nonlinear control, Phys Lett A, 320 (2004), 271-5.
12. Yassen, M.T. Chaos synchronization between two different chaotic systems using active control, Chaos, Solitons & Fractals, 23 (2005), 131-40.
13. Bai, E.W., Lonngren, K.E. Synchronization of two Lorenz systems using active control, Chaos, Solitons & Fractals, 8 (1997), 51-8.
14. Bai, E.W., Lonngren, K E. Synchronization and control of chaotic systems, Chaos, Solitons & Fractals, 10 (1999), 1571-5.
15. Bai, E.W., Lonngren, K.E. Sequential synchronization of two Lorenz systems using active control, Chaos, Solitons & Fractals, 11 (2000), 1041-4.
16. Agiza, H.N., Yassen, M.T. Synchronization of Rössler and Chen chaotic dynamical systems using active control, Phys Lett A, 278 (2001), 191-7.
17. Ho, M.C., Hung, Y.C., Chou, C.H. Phase and anti-phase synchronization of two chaotic systems by using active control, Phys Lett A, 296 (2002), 43-8.
18. Zhang, J.Y., Wu, S., Jan, Z. Chin. J. of Quatum Electronics, 15 (1998), 83.
19. Chen, S.H., Lü, J.H. Synchronization of an uncertain unified chaotic system via adaptive control, Chaos, Solitons & Fractals, 14 (2002), 643-7.
20. Chen, S.H., Lü, J.H. Parameters identification and synchronization of chaotic systems based upon adaptive control, Phys Lett A, 299 (2002), 353-8.
21. Yu, Y.G., Zhang, S.C. Controlling uncertain Lü system using backstepping design, Chaos, Solitons & Fractals, 15 (2003), 897-902.
22. Elmetwally, M.E., Hamdy, N.A., Mohamed, M. E.D. Controlling and Synchronization of Rössler System with Uncertain Parameters, International Journal of Nonlinear Sciences and Numerical Simulation, 5(2) (2004), 171-182.
23. Park, J.H. Adaptive Synchronization of a Unified Chaotic System with an Uncertain Parameter, International Journal of Nonlinear Sciences and Numerical Simulation, 6(2) (2005), 201-206.