Abstract This paper presents a new chaotic system by resulting from the coupling two different chaotic systems such as the Rӧssler system and the Chua system, where the x2 dynamic of the Rӧssler system was coupled with z1 dynamic of the Chua system. Some of the basic dynamics behaviors were examined for new chaotic system by using the Matlab program. In this work was noticed a difference in the time series of the Chua system and this in turn led to a difference in the attractor, as the attractor of the Chua system changed from double scroll to single scroll. This new behavior led to change of the bandwidth of the Chua system that mean the Rӧssler system affected on the Chua system and this led to an increase in the possibility of using this system in different applications.
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