Global Chaos Synchronization of Hyperchaotic Liu and Hyperchaotic Chen Systems by Active Nonlinear Control
K.T. Alligood, T. Sauer and J.A. Yorke, Chaos: An Introduction to Dynamical Systems, New York: Springer-Verlag, 1997.
L.M. Pecora and T.L. Carroll, “Synchronization in chaotic systems,” Phys. Rev. Letters, vol. 64, pp. 821-824, 1990.
L.M. Pecora and T.L. Carroll, “Synchronizing chaotic circuits,” IEEE Trans. Circ. Sys., vol. 38, pp. 453-456, 1991.
M. Lakshmanan and K. Murali, Chaos in Nonlinear Oscillators: Controlling and Synchronization, Singapore: World Scientific, 1996.
S.K. Han, C. Kerrer and Y. Kuramoto, “Dephasing and bursting in coupled neural oscillators,” Phys. Rev. Letters, vol. 75, pp. 3190-3193, 1995.
B. Blasius, A. Huppert and L. Stone, “Complex dynamics and phase synchronization in spatially extended ecological system,” Nature, vol. 399, pp. 354-359, 1999.
K. Murali and M. Lakshmanan, “Secure communication using a compound signal from generalized synchronizable chaotic system,” Phys. Letters A, vol. 241, pp. 303-310, 1998.
T. Yang and L.O. Chua, “Control of chaos using sampled-data feedback control,” Internat. J. Bifur. Chaos, vol. 9, pp. 215-219, 1999.
E. Ott, C. Grebogi and J.A. Yorke, “Controlling chaos,” Phys. Rev. Lett., vol. 64, pp. 1196-1199, 1990.
J.H. Park and O.M. Kwon, “A novel criterion for delayed feedback control of time-delay chaotic systems,” Chaos, Solitons and Fractals, vol. 17, pp. 709-716, 2003.
T.L. Liao and S.H. Tsai, “Adaptive synchronization of chaotic systems and its applications to secure communications,” Chaos, Solitons and Fractals, vol. 11, pp. 1387-1396, 2000.
J. Lu, X. Wu, X. Han and J. Lü, “Adaptive feedback synchronization of a unified chaotic system,” Phys. Lett. A, vol. 329, pp. 327-333, 2004.
Y.G. Yu and S.C. Zhang, “Adaptive backstepping synchronization of uncertain chaotic systems,” Chaos, Solitons and Fractals, vol. 27, pp. 1369-1375, 2006.
K. Konishi, M. Hirai and H. Kokame, “Sliding mode control for a class of chaotic systems,” Phys. Lett. A, vol. 245, pp. 511-517, 1998.
H.N. Agiza and M.T. Yassen, “Synchronization of Rössler and Chen dynamical systems using active control,” Phys. Lett. A, vol. 278, pp. 191-197, 2001.
L. Huang, R. Feng and M. Wang, “Synchronization of chaotic systems via nonlinear control,” Phys. Lett. A, vol. 320, pp. 271-275, 2004.
L. Tian, J. Xu and M. Sun, “Chaos synchronization of the energy resource chaotic system with active control,” Internat. J. Nonlinear Science, vol. 3, pp. 228-234, 2007.
F.Q. Wang and C.X. Liu, “Hyperchaos evolved from the Liu chaotic system,” Chin. Phys., vol. 15, pp. 963-968, 2006.
Z. Yan and P. Yu, “Hyperchaos synchronization and control on a new hyperchaotic attractor,” Chaos, Solitons & Fractals, vol. 35, pp. 333-345, 2008.
W. Hahn, The Stability of Motion, Berlin: Springer-Verlag, 1967.
- There are currently no refbacks.
This work is licensed under a Creative Commons Attribution 3.0 License.