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Anti-control of chaos of two-degrees-of-freedom loudspeaker system and chaos synchronization of different order systems. (English) Zbl 1048.37077

Summary: The chaos anti-control and synchronization of a two-degrees-of-freedom loudspeaker system are studied. An anti-control term is added to change state from regular to chaos. The anti-control methods such as addition of a constant force, of a periodic square wave, of a periodic saw tooth wave, of a periodic triangle wave, of a periodic rectified sinusoidal wave and of the \(x|x|\) term are used. The results are illustrated by numerical results, i.e., bifurcation diagram and Lyapunov exponents. Next, chaos synchronization of different order systems is studied. Two methods are presented to achieve the synchronization: the addition of coupling terms, the linearization of the error dynamics. The results are illustrated by phase diagram and time response.

MSC:

37N35 Dynamical systems in control
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References:

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