Complete synchronization of strictly different chaotic systems. (English) Zbl 1263.93087

Solís-Perales, Gualberto

J. Appl. Math. 2012, Article ID 964179, 13 p. (2012).

Summary: The criteria for complete synchronization of strictly different chaotic systems using feedback control are presented in this paper. Complete synchronization is achieved when all the states in the slave system are synchronous with the corresponding state in the master system. We illustrate that using a single input and single output control scheme, the synchronization of a class of strictly different systems is obtained in partial form. To overcome this problem we show that a multiple input and multiple output control scheme with an equal number of inputs and outputs than the order system is required in order to obtain the complete synchronization. This procedure is used to synchronize the Rössler and the Chen systems as an example. We also demonstrate that if the synchronization scheme considers less inputs and outputs, the partial-state synchronization is obtained.

MSC:

93B52	Feedback control
34D06	Synchronization of solutions to ordinary differential equations
93C35	Multivariable systems, multidimensional control systems

Keywords:

synchronization; strictly different chaotic systems; feedback control; Rössler systems; Chen systems

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