A single three-wing or four-wing chaotic attractor generated from a three-dimensional smooth quadratic autonomous system

Abstract This letter presents a new three-dimensional smooth quadratic autonomous chaotic system, which can involve into periodic and chaotic orbits in case of different parameters. When proper parameters are chosen, a single four-wing attractor and a single three-wing attractor are generated. The further analysis shows that the two separated attractors coexisted with different initial conditions. Basic properties of the new system were also analyzed by means of Lyapunov exponents, bifurcation diagrams and Poincare map.

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