Abstract
Fractional standard and sine maps are proposed by using the discrete fractional calculus. The chaos behaviors are then numerically discussed when the difference order is a fractional one. The bifurcation diagrams and the phase portraits are presented, respectively. • Fractional standard and sine maps are proposed by using the discrete fractional calculus. • The chaos behaviors are numerically discussed for various orders of difference operators. • The bifurcation diagrams and the phase portraits are presented, respectively.
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