Résumé:
In this memory, two typical chaotic maps with sine terms serve as the
basis for studying the dynamics of two fractional-order chaotic maps.
Using numerical methods including phase plots, bifurcation diagrams,
Lyapunov exponents, and 0–1 test, the dynamic behavior of this map is
examined. It is demonstrated that the suggested fractional maps display
a variety of distinct dynamical behaviors, including coexisting
attractors, with a change in fractional order. The charting of a
bifurcation diagram for two symmetric beginning conditions illustrates
the existence of coexistence attractors. Furthermore, three control
strategies are presented. The suggested maps' states are stabilized, and
their convergence to zero is guaranteed by the first two controllers.
while the last synchronizes two non-identical fractional maps
asymptotically. The conclusions are validated using numerical
outcomes.
