Table 2. Variables and equations of chaotic maps.

CM no.	CM name	CM equation
1	Chebyshev map	$X_{n+1}=\mathrm{c}\mathrm{o}\mathrm{s}\left(kco{s}^{-1}{x}_n\right)$
2	Circle map	$X_{n+1}=X_n+b-\left({\displaystyle \frac{a}{2\pi }}\right)\sin \left(2\pi X_n\right)mod\left(1\right)$ $a=0.5$ and $b=0.2$
3	Gauss map	$X_{n+1}=\{\begin{array}{c}0,X_n=0\\ \\ {\displaystyle \frac{1}{X_{n}mod\left(1\right)},X_n\in \left(0,1\right)}\end{array}$, ${\displaystyle \frac{1}{X_{n}mod\left(1\right)}={\displaystyle \frac{1}{X_n}-{\displaystyle \frac{1}{X_n}}}}$
4	Iterative map	$X_{n+1}=sin\left({\displaystyle \frac{a\pi }{x_n}}\right)$, $a=0.7$
5	Logistic map	$X_{n+1}=a{X}_n\left(1-X_n\right)$, $a=4$
6	Piecewise map	$x_{n+1}=\{\begin{array}{c}\begin{array}{c}{\displaystyle \frac{x_n}{P},0\le x_n<P}\\ \\ {\displaystyle \frac{x_n-P}{0.5-P},P\le x_n<0.5}\\ \end{array}\\ {\displaystyle \frac{1-P-x_n}{0.5-P},0.5\le x_n<1-P}\\ \\ {\displaystyle \frac{1-x_n}{P},1-P\le x_n<1}\end{array}$, $P=0.4$
7	Sine map	$X_{n+1}={\displaystyle \frac{a}{4}sin\left(\pi x_n\right)}$, $0<a\le 4$
8	Singer map	$X_{n+1}=\mathrm{\mu }(7.86x_n-23.31x_n^2+28.75x_n^3-13.302875x_n^4)$, µ = 1.07
9	Sinusoidal map	$X_{n+1}=a{x}_n^2\mathrm{s}\mathrm{i}\mathrm{n}\left(\pi X_n\right)$, $a=2.3$ and $X_0=0.7$
10	Tent map	$f\left(x\right)=\{\begin{array}{c}{X}_n/0.7,X_n<0\\ 10/3X_n\left(1-X_n\right),otherwise\end{array}$