Here, the domain is 0 ≤ b ≤ 1 and 0 ≤ x ≤ 1 . The sine map ( 4-1 ) exhibits qualitatively identical behavior to the logistic map ( 1-2 ) : like the logistic map, it also becomes chaotic via a period doubling route as the parameter b increases, and moreover, like the logistic map, it also exhibits a window in the chaotic region .
Here, the dOMaIn iS 0 ≤ b ≤ 1 ANd 0 ≤ x ≤ 1 . the SiNe mAP ( 4-1 ) exhibitS quALitatiVElY iDeNtiCAl behaviOR tO the LOgiStIc mAp ( 1-2 ) : LIke tHe LOgIstIc map, It AlSo becomes ChAOtIc viA A periOd doublIng ROUte As tHe ParamEtER b increasEs, and MOreoveR, lIKE THe lOgIsTiC mAp, It also ExHibits A Window iN tHE chaoTic region .