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Zbl 1183.70055
Wang, Zuo-Lei
Projective synchronization of hyperchaotic Lü system and Liu system. (English)
[J] Nonlinear Dyn. 59, No. 3, 455-462 (2010). ISSN 0924-090X; ISSN 1573-269X/e

Summary: This work is concerned with projective synchronization of hyperchaotic Lü system and Liu system by add-order method. Different controllers are designed to projective-synchronize the two nonidentical chaotic systems, active control is used when parameters are known, while the adaptive control law and the parameter update rule are derived via adaptive control when parameters are uncertain. Moreover, the convergence rates of the scheme can be adjusted by changing the control coefficients. Finally, numerical simulations are also shown to verify the results.

MSC 2000:: *70K55 Transition to stochasticity (chaotic behavior)

Keywords: projective synchronization; chaos; hyperchaotic Lü system; Liu system

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