Global Chaos Synchronization of Li and Pan Chaotic 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.
H. Fujisaka and T. Yamada, “Stability theory of synchronized motion in coupled-oscillator systems,” Progress of Theoretical Physics, vol. 69, pp. 32-47, 1983.
L.M. Pecora and T.L. Carroll, “Synchronization in chaotic systems,” Physical Review Letters, vol. 64, pp. 821-824, 1990.
L.M. Pecora and T.L. Carroll, “Synchronizing in chaotic circuits,” IEEE Transactions on Circuits and Systems, vol. 38, pp. 453-456, 1991.
M. Lakshmanan and K. Murali, Chaos in Nonlinear Oscillators: Controlling and Synchronization, World Scientific, Singapore, 1996.
S.K. Han, C. Kerrer and Y. Kuramoto, “D-phasing and bursting in coupled neural oscillators,” Physical Review 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.
J. Lu, X. Wu, X. Han and J. Lü, “Adaptive feedback synchronization of a unified chaotic system,” Physics Letters A, vol. 329, pp. 327-333, 2004.
L. Kocarev and U. Partliz, “General approach for chaotic synchronization with applications to communications,” Physical Review Letters, vol. 74, pp. 5028-5030, 1995.
K. Murali and M. Lakshmanan, “Secure communication using a compound signal using sampled-data feedback,” Applied Mathematics and Mechanics, vol. 11, pp. 1309-1315, 2003.
T. Yang and L.O. Chua, “Generalized synchronization of chaos via linear transformation,” International Journal of Bifurcation and Chaos, vol. 9, pp. 215-219, 1999.
E. Ott, C. Grebogi and J.A. Yorke, “Controlling chaos,” Physical Review Letters, 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.
X. Wu and J. Lü, “Parameter identification and backstepping control of uncertain Lü sysetm,” Chaos, Solitons and Fractals, vol. 18, pp. 721-729, 2003.
X. Zhang and H. Zhu, “Anti-synchronization of two different hyperchaotic systems with active and adaptive control,” International Journal of Nonlinear Science, vol. 6, pp. 216-223, 2008.
V. Sundarapandian and R. Karthikeyan, “Global chaos synchronization of hyperchaotic Liu and hyperchaotic Chen systems by active nonlinear control,” CIIT International Journal of Digital Signal Processing, vol. 3, no. 3, pp. 134-139, 2011.
V. Sundarapandian and R. Karthikeyan, “Global chaos synchronization of Chen and Cai systems by active nonlinear control,” CIIT International Journal of Digital Signal Processing, vol. 3, no. 3, pp. 140-144, 2011.
V. Sundarapandian and R. Suresh, “Global chaos synchronization of T and Liu-Chen-Liu systems by nonlinear control,” CIIT International Journal of Digital Signal Processing, vol. 3, no. 3, pp. 145-149, 2011.
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.H. Park, S.M. Lee and O.M. Kwon, “Adaptive synchronization of Genesio-Tesi chaotic system via a novel feedback control,” Physics Letters A, vol. 371, pp. 263-270, 2007.
V.I. Utkin, “Sliding mode control design principles and applications to electric drives,” IEEE Transactions on Industrial Electronics, vol. 40, pp. 23-36, 1993.
V. Sundarapandian and S. Sivaperumal, “Sliding mode control based global chaos synchronization of four-scroll attractors,” CIIT International J. Programmable Device Circuits and Systems, vol. 3, no. 6, pp. 297-302, 2011.
X.F. Li, K.E. Chlouveakis and D.L. Xu, “Nonlinear dynamics and circuit relaization of a new chaotic flow: A variant of Lorenz, Chen and Lü,” Nonlinear Analysis, vol. 10, pp. 2357-2368, 2009.
L. Pan, D. Xu and W. Zhou, “Controlling a novel chaotic attractor using linear feedback,” J. Information and Computing Science, vol. 5, no. 2, pp. 117-124, 2010.
W. Hahn, The Stability of Motion, Springer, Berlin, 1967.
- There are currently no refbacks.
This work is licensed under a Creative Commons Attribution 3.0 License.