International Journal of Bifurcation and Chaos · 2012 · 23 citations · 18 references
Natural SciencesMathematicsComplex SystemsDynamical SystemsSystem DynamicsChaos TheoryControl Of Dynamical SystemsNonlinear DynamicsTopological DynamicsAttractor DynamicsAttractorsChaotic AttractorsChaotic DynamicsChaotic MapsElectronic Circuit DesignPoincaré Map AnalysisPoincaré Maps
This paper presents an eight-wing chaotic attractor by replacing a constant parameter with a switch function in Qi four-wing 3-D chaotic system. The eight-wing chaotic attractor has more complicated topological structures and dynamics than the original one. Some basic dynamical behaviors and the compound structure of the proposed 3-D system are investigated. Poincaré-map analysis shows that the system has an extremely rich dynamics. The physical existence of the eight-wing chaotic attractor is verified by an electronic circuit FPGA.
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Leon O. Chua, M. Komuro, Takashi Matsumoto · IEEE Transactions on Circuits and Systems · 1986 · 1.2K citations