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- W2886529726 abstract "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 attractors, the system has four spiral-saddle-type equilibrium points, or two nonhyperbolic equilibria. Besides, for a certain value of the parameter, a fractional-order no-equilibrium system is obtained. This no-equilibrium system presents a hidden chaotic attractor with a `hurricane’-like shape in the phase space. Multistability is also observed, since a hidden chaotic attractor coexists with a periodic one. The chaos generation in the new fractional-order system is demonstrated by the Lyapunov exponents method and equilibrium stability. Moreover, the complexity of the self-excited and hidden chaotic attractors is analyzed by computing their spectral entropy and Brownian-like motions. Finally, a pseudo-random number generator is designed using the hidden dynamics." @default.
- W2886529726 created "2018-08-22" @default.
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- W2886529726 date "2018-07-28" @default.
- W2886529726 modified "2023-10-03" @default.
- W2886529726 title "A New Fractional-Order Chaotic System with Different Families of Hidden and Self-Excited Attractors" @default.
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- W2886529726 doi "https://doi.org/10.3390/e20080564" @default.
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