Infinitely many hidden attractors in a new fractional-order chaotic system based on a fracmemristor
Faculty of Electronics Sciences, Benemérita Universidad Autónoma de Puebla, Puebla 72570, Mexico
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Received in final form: 21 March 2019
Published online: 14 October 2019
Memristor and fractional-order derivatives are feasible options for constructing new systems with complex dynamics. This paper presents a new fractional-order chaotic system based on a fractional-order memristor (fracmemristor). It is worth noting that this chaotic system based on a fracmemristor does not have any equilibrium points but generates infinitely many hidden chaotic attractors and other dynamical behaviors. Systematic studies of the hidden chaotic behavior in the proposed system are performed using phase portraits, bifurcation diagrams, Lyapunov exponents, and riddled basins of attraction.
© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature, 2019