In this paper, we consider the hermitian Riccati difference equa- tions. Analogous to a Riccati differential equation, there is a connection be- tween a Riccati difference equation and its associated linear difference equation. Based on the linear difference equation, we can obtain an explicit representa- tion for the solution of the Riccati difference equation and define the extended solution. Further, we can characterize the asymptotic state of the extended solution and the rate of convergence. Constant equilibrium solutions, periodic solutions and closed limit cycles are exhibited in the investigation of asymptotic behavior of the hermitian Riccati difference equations.
|頁（從 - 到）||2037-2053|
|期刊||Discrete and Continuous Dynamical Systems - Series B|
|出版狀態||已發佈 - 2021 四月|
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics