Fractional-order projection of a chaotic system with hidden attractors and its passivity-based synchronization
Fernando E. Serrano,
Jesus M. Munoz-Pacheco,
Marco A. Flores
Abstract:This paper presents the fractional-order projection of a chaotic system, which delivers a collection of self-excited and hidden chaotic attractors as a function of a single system parameter. Based on an integer-order chaotic system and the proposed transformation, the fractional-order chaotic system obtains when the divergence of integer and fractional vector fields flows in the same direction. Phase portraits, bifurcation diagrams, and Lyapunov exponents validate the chaos generation. Apart from these results… Show more
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