Have a personal or library account? Click to login
Hybrid Chaos Synchronization of Four–Scroll Systems via Active Control Cover

Hybrid Chaos Synchronization of Four–Scroll Systems via Active Control

Open Access
|Apr 2014

References

  1. [1] ALLIGOOD, K. T.-SAUER, T.-YORKE, J. A. : An Introduction to Dynamical Systems, Springer, New York, USA, 1997.10.1063/1.882006
  2. [2] LORENZ, E. N. : Deterministic Nonperiodic Flow, Journal of the Atmospheric Sciences 20 No. 2 (1963), 130-141.10.1175/1520-0469(1963)020<;0130:DNF>2.0.CO;2
  3. [3] LAKSHMANAN, M.-MURALI, K. : Chaos in Nonlinear Oscillators: Controlling and Synchronization, World Scientific, Singapore, 1996..10.1142/2637
  4. [4] HAN, S. K.-KERRER, C.-KURAMOTO, Y. : D-Phasing and Bursting in Coupled Neural Oscillators, Physical Review Letters 75 (1995), 3190-3193.10.1103/PhysRevLett.75.3190
  5. [5] BLASIUS, B.-HUPPERT, A.-STONE, L. : Complex Dynamics and Phase Synchronization in Spatially Extended Ecological System, Nature 399 (1999), 354-359.10.1038/20676
  6. [6] CUOMO, K. M.-OPPENHEIM, A. V.-STROGATZ, S. H. : Synchronization of Lorenz-Based Chaotic Cicuits with Applications to Communications, IEEE Trans. Circuits and Systems II 40 (1993), 626-633.10.1109/82.246163
  7. [7] KOCAREV, L.-PARTLIZ, U. : General Approach for Chaotic Synchronization with Applications to Communications, Physical Review Letters 74 (1995), 5028-5030.10.1103/PhysRevLett.74.5028
  8. [8] LU, J.-WU, X.-L¨U, J. : Synchronization of a Unified Chaotic System and the Application in Secure Communication, Physics Letters A 305 (2002), 365-370.10.1016/S0375-9601(02)01497-4
  9. [9] PECORA, L. M.-CARROLL, T. L. : Synchronization in Chaotic Systems, Physical Review Letters 64 No. 8 (1990), 821-824.10.1103/PhysRevLett.64.821
  10. [10] OTT, E.-GREBOGI, C. YORKE, J. A. : Controlling Chaos, Physical Review Letters 64 (1990), 1196-1199.10.1103/PhysRevLett.64.1196
  11. [11] YANG, T.-CHUA, L. O. : Control of Chaos using Sampled- Data Feedback Control, International Journal of Bifurcation and Chaos 9 (1999), 215-219.10.1142/S0218127499000092
  12. [12] PARK, J. H.-KWON, O. M. : A Novel Criterion for Delayed Feedback Control of Time-Delay Chaotic Systems, Chaos, Solitons and Fractals 17 (2003), 709-716.10.1016/S0960-0779(02)00487-3
  13. [13] HUA, C.-GUAN, X. : Robust Control of Time-Delay Chaotic Systems, Physics Letters A 314 (2003), 72-80.10.1016/S0375-9601(03)00817-X
  14. [14] HO, M. C.-HUNG, Y. C. : Synchronization of Two Different Chaotic Systems using Generalized Active Control, Physics Letters A 301 (2002), 424-428.10.1016/S0375-9601(02)00987-8
  15. [15] YASSEN, M. T. : Chaos Synchronization between Two Different Chaotic Systems using Active Control, Chaos, Solitons and Fractals 23 (2005), 131-140.10.1016/j.chaos.2004.03.038
  16. [16] TIAN, L.-XU, J.-SUN, M. : Chaos Synchronization of the Energy Resource Chaotic System with Active Control, International Journal of Nonlinear Science 3 No. 3 (2007), 228-234.
  17. [17] SUNDARAPANDIAN, V. : Global Chaos Synchronization of Shimizu-Morioka and Liu-Chen Chaotic Systems by Active Nonlinear Control, International Journal of Advances in Science and Technology 2 No. 4 (2011), 11-20.
  18. [18] SUNDARAPANDIAN, V. : Global Chaos Synchronization of Liu and Harb Chaotic Systems by Active Nonlinear Control, International Journal of Computer Information Systems 2 No. 5 (2011), 8-12.
  19. [19] YASSEN, M. T. : Applied Mathematics and Computation 135 (2001), 113-120.
  20. [20] CHEN, S. H.-L¨U, J. : Synchronization of an Uncertain Unified System via Adaptive Control, Chaos, Solitons and Fractals 14 (2002), 643-647.10.1016/S0960-0779(02)00006-1
  21. [21] JIA, L.-TONG, H. : Adaptive Control and Synchronization of a Four-Dimensional Energy Resources System of JiangSu Province, International Journal of Nonlinear Science 7 No. 3 (2009), 307-309.
  22. [22] SUNDARAPANDIAN, V. : Adaptive Synchronization of Uncertain Sprott H and I Chaotic Systems, International Journal of Computer Information Systems 2 No. 5 (2011), 1-7.
  23. [23] SUNDARAPANDIAN, V. : Adaptive Control and Synchronization of the Shaw Chaotic System, International Journal in Foundations of Computer Science and Technology 1 No. 1 (2011), 1-11.
  24. [24] MASCOLO, S.-GRASSI, G. : Controlling Chaotic Dynamics using Backstepping Design with Application to the Lorenz System and Chua’s Circuit, International Journal of Bifurcation and Chaos 9 (1999), 1425-1434.10.1142/S0218127499000973
  25. [25] TAN, X.-ZHANG-YANG, Y. : Synchronizing Chaotic Systems using Backstepping Design, Chaos, Solitons and Fractals 16 (2003), 37-45.10.1016/S0960-0779(02)00153-4
  26. [26] ZHANG, H.-MA, X.-LI, M.-ZOU, J. : Controlling and Tracking Hyperchaotic Rossler System via Active Backstepping Design, Chaos, Solitons and Fractals 26 (2005), 353-361.10.1016/j.chaos.2004.12.032
  27. [27] UTKIN, V. I. : Variable Structure Systems using Sliding Mode, IEEE Transactions on Automatic Control 22 (1977), 212-222.10.1109/TAC.1977.1101446
  28. [28] SLOTINE, J. E.-SASTRY, S. S. : Tracking Control of Nonlinear Systems using Sliding Surface with Application to Robotic Manipulators, International Journal of Control 38 (1983), 465-492.10.1080/00207178308933088
  29. [29] SUNDARAPANDIAN, V.-SIVAPERUMAL, S. : Global Chaos Synchronization of the Hyperchaotic Qi Systems by Sliding Mode Control, International Journal on Computer Science and Engineering 3 No. 6 (2011), 2430-2437.
  30. [30] SUNDARAPANDIAN, V. : Global Chaos Synchronization of the Pehlivan Systems by Sliding Mode Control, International Journal on Computer Science and Engineering 3 No. 5 (2011), 2163-2169.
  31. [31] GE, Z. M.-CHEN, C. C. : Phase Synchronization of Coupled Chaotic Multiple Time Scales Systems, Chaos, Solitons and Fractals 20 (2004), 639-647.10.1016/j.chaos.2003.08.001
  32. [32] WANG, Y. W.-GUAN, Z. H. : Generalized Synchronization of Continuous Chaotic Systems, Chaos, Solitons and Fractals 27 (2006), 97-101.10.1016/j.chaos.2004.12.038
  33. [33] ZHANG, X.-ZHU, H. : Anti-Synchronization of Two Different Hyperchaotic Systems via Active and Adaptive Control, Interntaional Journal of Nonlinear Science 6 (2008), 216-223.
  34. [34] CHIANG, T.-LIN, J.-LIA, T.-YAN, J. : Anti-Synchronization of Uncertain Unified Chaotic Systems with Dead-Zone Nonlinearity, Nonlinear Analysis 68 (2008), 2629-2637.10.1016/j.na.2007.02.009
  35. [35] SUNDARAPANDIAN, V. : Anti-Synchronization of Arneodo and Coullet Systems by Active Nonlinear Control, International Journal on Control Theory and Applications 4 No. 1 (2011), 25-36.
  36. [36] SUNDARAPANDIAN, V.-SIVAPERUMAL, S. : Anti-Synchronization of Hyperchaotic Lorenz Systems by Sliding Mode Control, International Journal on Computer Science and Engineering 3 No. 6 (2011), 2450-2457.
  37. [37] QIANG, J. : Projective Synchronization of a New Hyperchaotic Lorenz System, Physics Letters A 370 (2007), 40-45.10.1016/j.physleta.2007.05.028
  38. [38] JIAN-PING, Y.-CHANG-PIN, L. : Generalized Projective Synchronization for the Chaotic Lorenz System and the Chaotic Chen System, J. Shanghai University 10 (2006), 299-304.10.1007/s11741-006-0004-y
  39. [39] LI, R. H.-XU, W.-LI, S. : Adaptive Generalized Projective Synchronization in Different Chaotic Systems based on Parameter Identification, Physics Letters A 367 (2007), 199-206.10.1016/j.physleta.2007.03.025
  40. [40] SARASU, P.-SUNDARAPANDIAN, V. : Active Controller Design for Generalized Projective Synchronization of Four-Scroll Chaotic Systems, International Journal of System Signal Control and Engineering Application 4 No. 2 (2011), 26-33.
  41. [41] SUNDARAPANDIAN, V. : Hybrid Synchronization of Lorenz and Pehlivan Chaotic Systems by Active Nonlinear Control, International Journal of Advances in Science and Technology 2 No. 6 (2011), 10-20.
  42. [42] WANG, L. : 3-Scroll and 4-Scroll Chaotic Attractors Generated from a New 3-D Quadratic Autonomous System, Nonlinear Dynamics 56 (2009), 453-462.10.1007/s11071-008-9417-4
  43. [43] LIU, W.-CHEN, G. : Can a Three-Dimensional Smooth Autonomous Quadratic Chaotic System Generate a Single Four-Scroll Attractor?, International J. Bifur. Chaos 14 (2004), 1395-1403.10.1142/S0218127404009880
  44. [44] HAHN,W. : The Stability of Motion, Springer, New York, USA, 1967. 10.1007/978-3-642-50085-5
DOI: https://doi.org/10.2478/jee-2014-0014 | Journal eISSN: 1339-309X | Journal ISSN: 1335-3632
Language: English
Page range: 97 - 103
Published on: Apr 23, 2014
In partnership with: Paradigm Publishing Services
Publication frequency: 6 issues per year

© 2014 Rajagopal Karthikeyan, Vaidyanathan Sundarapandian, published by Slovak University of Technology in Bratislava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.