Abstract
Center manifold theory presented an approach that the order of a system can be reduced. This paper investigates the basic characteristic of a new chaotic system by the approach. A flow equation on the center manifold is obtained and the pitchfork bifurcation is analyzed for the new chaotic system. An analog electronic circuit is designed to implement the new system, so the chaotic attractor are verified. We explain the significant distinction of application due to different frequencies used in numerical simulation and circuit implementation. Finally, the synchronization of the new chaotic system is realized by using the single variable coupling feedback, and the circuit of synchronization is presented.
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