New class of three‐dimensional close‐to‐cyclic systems of difference equations solvable in closed form.

We present the following new class of three‐dimensional systems of difference equations xn+3=1a2+a1yn+2+a0yn+2zn+1,yn+3=1b2+b1zn+2+b0zn+2xn+1,zn+3=1c2+c1xn+2+c0xn+2yn+1,n∈ℕ0,where aj,bj,cj,x1,x2,y1,y2,z1,z2∈ℝ,j=0,2‾, and show that the systems are solvable in closed form, considerably extending some results in the literature. [ABSTRACT FROM AUTHOR]