Parrondo’s paradox for chaos control and anticontrol of fractional-order systems
Danca Marius-F1, 2, †, , Tang Wallace K S3
       

Generalized Parrondo’s paradox (anticontrol-like): order1+ order2+ order3= chaos, modeled by the PS algorithm under the scheme [1p1, 1p2, 2p3], with: (a) position of the underlying attractors in the parameter space, (b) the switched attractorA* (red) and the averaged attractorAp*(blue) overplotted in the phase space, and (c) the Poincaré section of the attractors on the planex3= 22.