差分方程xn+1=(α+B1xn-1+B3xn-3+…+B2k+1xn-2k-1)/(A+B0xn+B2xn-2+…+B2kxn-2k)的动力学

摘要

考察差分方程 xn+1=(α+B1xn-1+B3xn-3+…+B2k+1xn-2k-1)/(A+B0xn+B2xn-2+…+B2kxn-2k),n=0,1,…的动力学行为,在4种情形下分别讨论方程解的性质.%Dynamics of the following difference equation will be investigated:xn+1=(α+B1xn-1+B3xn-3+…+B2k+1xn-2k-1)/(A+B0xn+B2xn-2+…+B2kxn-2k),n=0,1,… the nature of the soultion of the difference equation will be investigated in four cases.