Controlling hyperchaos in the new hyperchaotic Chen system. (English) Zbl 1160.93384

Summary: We investigate the new hyperchaotic Chen system, which was present recently by introducing a feedback controller to the Chen system. The linear, speed, nonlinear doubly-periodic function and nonlinear hyperbolic function feedback controls are used to suppress hyperchaos to unstable equilibrium. The Routh-Hurwitz theorem is used to derive the conditions of stability of controlled hyperchaotic Chen systems. Moreover numerical simulations are used to verify the effectiveness of the proposed controllers.


93D15 Stabilization of systems by feedback
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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[1] Chen, G.; Dong, X., From Chaos to Order: Perspectives, Methodologies and Applications (1998), World Scientific: World Scientific Singapore
[2] Ott, E., Phys. Rev. Lett., 64, 196 (1990)
[3] Pyragas, K., Phys. Lett. A, 170, 421 (1992)
[4] Agzia, H. Z., Choas, Solitons and Fractals, 13, 341 (2002)
[5] Yassen, M. T., Choas, Solitons and Fractals, 15, 271 (2003)
[6] Tao, C., Choas, Solitons and Fractals, 23, 259 (2005)
[7] Rossler, O. E., Phys. Lett. A, 71, 155 (1979)
[8] Cafagna; Grassi, G., Int. J. Bifur. Chaos, 13, 2889 (2003)
[9] Matsumoto, T., IEEE Trans. on CAS, 33, 1143 (1986)
[10] Tamasevicius, A., Electron. Lett., 32, 957 (1996)
[11] Tamasevicius, A., Electron. Lett., 33, 542 (1997)
[13] Chen, G.; Ueta, T., Int. J. Bifurcation Chaos, 9, 1465 (1999)
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