Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
471108 | Computers & Mathematics with Applications | 2009 | 5 Pages |
Abstract
We investigate the dynamics of two classes of recursive sequences: xn+1=∑j=0k∑(i0,i1,…,i2j)∈A2jxn−i0xn−i1⋯xn−i2j+b∑j=1k∑(i0,i1,…,i2j−1)∈A2j−1xn−i0xn−i1⋯xn−i2j−1+1+b, and xn+1=∑j=1k∑(i0,i1,…,i2j−1)∈A2j−1xn−i0xn−i1⋯xn−i2j−1+1+b∑j=0k∑(i0,i1,…,i2j)∈A2jxn−i0xn−i1⋯xn−i2j+b. We prove that their unique equilibrium x¯=1 is globally asymptotically stable. In addition, a new approach is presented to research the theory of recursive sequences.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Bin Zhao,