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Hybrid projective synchronization in a chaotic complex nonlinear system. (English) Zbl 1151.93017
Summary: Hybrid Projective Synchronization (HPS), in which the different state variables can synchronize up to different scaling factors, is numerically observed in coupled partially linear chaotic complex nonlinear systems without adding any control term in the present paper. The scaling factors of HPS are hardly predictable. Linear feedback control method is thus adopted to control them onto any desired values based on Lyapunov stability theory. Moreover, numerical simulations are given to illustrate and verify the analytical results.

##### MSC:
 93B52 Feedback control 93C10 Nonlinear systems in control theory 34C28 Complex behavior and chaotic systems of ordinary differential equations 93C15 Control/observation systems governed by ordinary differential equations 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, $$L^p, l^p$$, etc.) in control theory
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