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A New Fractional-Order Chaotic System with Different Families of Hidden and Self-Excited Attractors

A New Fractional-Order Chaotic System with Different Families of Hidden and Self-Excited Attractors

In this work, a new fractional-order chaotic system with a single parameter and four nonlinearities is introduced. One striking feature is that by varying the system parameter, the fractional-order system generates several complex dynamics: self-excited attractors, hidden attractors, and the coexistence of hidden attractors. In the family of self-excited chaotic …