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Finite-time chaos synchronization of a new hyperchaotic Lorenz system. (English) Zbl 1267.93157

MSC:
93D21 Adaptive or robust stabilization
93D30 Lyapunov and storage functions
34H10 Chaos control for problems involving ordinary differential equations
34D06 Synchronization of solutions to ordinary differential equations
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[1] DOI: 10.1103/PhysRevLett.64.821 · Zbl 0938.37019 · doi:10.1103/PhysRevLett.64.821
[2] DOI: 10.1109/31.75404 · doi:10.1109/31.75404
[3] X. P. Guan, Chaotic Control and its Application on Secure Communication (National Defence Industry Press, Beijing, 2002) pp. 168–225.
[4] X. Y. Wang, Chaos in the Complex Nonlinearity System (Electronics Industry Press, Bejjing, 2003) pp. 91–113.
[5] Murali K., Chaos in Nonlinear Oscillators Controlling and Synchronization (1996) · Zbl 0868.58058
[6] Kapitaniak T., Controlling Chaos: Theoretical and Practical Methods in Nonlinear Dynamics (1996) · Zbl 0883.58021
[7] DOI: 10.1103/PhysRevLett.74.1740 · doi:10.1103/PhysRevLett.74.1740
[8] DOI: 10.1016/j.chaos.2004.12.007 · Zbl 1125.93470 · doi:10.1016/j.chaos.2004.12.007
[9] DOI: 10.1016/j.chaos.2006.03.051 · Zbl 1134.93405 · doi:10.1016/j.chaos.2006.03.051
[10] DOI: 10.1103/PhysRevE.54.4803 · doi:10.1103/PhysRevE.54.4803
[11] DOI: 10.1137/0324047 · Zbl 0603.93005 · doi:10.1137/0324047
[12] DOI: 10.1016/S0960-0779(02)00100-5 · Zbl 1038.37504 · doi:10.1016/S0960-0779(02)00100-5
[13] DOI: 10.1016/j.cnsns.2008.08.013 · Zbl 1221.37225 · doi:10.1016/j.cnsns.2008.08.013
[14] DOI: 10.1109/81.903194 · Zbl 1011.37059 · doi:10.1109/81.903194
[15] DOI: 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2 · Zbl 1417.37129 · doi:10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2
[16] DOI: 10.1016/j.physa.2008.02.020 · doi:10.1016/j.physa.2008.02.020
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