1
Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
2
Department of Mathematics, Payame Noor University, Iran
Abstract
In this paper, we introduce a new hyperchaotic complex T-system. This system has complex nonlinear behavior which we study its dynamical properties including invariance, equilibria and their stability, Lyapunov exponents, bifurcation, chaotic behavior and chaotic attractors as well as necessary conditions for this system to generate chaos. We discuss the synchronization with certain and uncertain parameters via adaptive control. For synchronization, we use less controllers than the dimension of the proposed system. Also, we prove that the error system is asymptotically stable by using a Lyapunov function. Numerical simulations are computed to check the analytical expressions.
Kheiri, H., & Naderi, B. (2015). Dynamical behavior and synchronization of hyperchaotic complex T-system. Journal of Mathematical Modeling, 3(1), 15-32.
MLA
Hossein Kheiri; Bashir Naderi. "Dynamical behavior and synchronization of hyperchaotic complex T-system". Journal of Mathematical Modeling, 3, 1, 2015, 15-32.
HARVARD
Kheiri, H., Naderi, B. (2015). 'Dynamical behavior and synchronization of hyperchaotic complex T-system', Journal of Mathematical Modeling, 3(1), pp. 15-32.
VANCOUVER
Kheiri, H., Naderi, B. Dynamical behavior and synchronization of hyperchaotic complex T-system. Journal of Mathematical Modeling, 2015; 3(1): 15-32.
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