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A new 3D quadratic autonomous chaotic system is reported in this paper, which contains five system parameters and three quadratic cross-product terms, and the system can generate a pair of coexisting diagonal double-wing chaotic attractors with wide parameters ranges. Some basic dynamical behaviors of the new chaotic system are investigated. The Hopf bifurcation process is proved to arise at certain...
In this paper, a novel four-dimensional (4D) autonomous continuous time Hopfield-type neural network with two parameters is investigated. Computer simulations show that the 4D Hopfield neural network has rich and funny dynamics, and it can display equilibrium, periodic attractor, chaotic attractor and quasi-periodic attractor for different parameters. Moreover, when the system is chaotic, its positive...
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