| 一类二维离散动力系统的稳定性与分岔 |
| |
| 引用本文： | 侯爱玉,姜小伟. 一类二维离散动力系统的稳定性与分岔[J]. 数学理论与应用, 2008, 28(3): 84-88 |
| |
| 作者姓名： | 侯爱玉 姜小伟 |
| |
| 作者单位： | 中南大学数学科学与计算技术学院,长沙 410083 |
| |
| 摘 要： | 本文利用正规则型理论讨论了一类二维离散动力系统的动力学性质,分析了其正平衡点的稳定性,并讨论了Neimark—Sacker分岔稳定性与方向。通过数值模拟验证了所得结果的正确性。
|
| 关 键 词： | 离散动力系统 稳定性 Neimark-Sacker分岔 |
The Stability and Bifurcation of a Class of Two Dimensional Discrete Dynamical Systems |
| |
| Hou Aiyu Jiang Xiaowei. The Stability and Bifurcation of a Class of Two Dimensional Discrete Dynamical Systems[J]. Mathematical Theory and Applications, 2008, 28(3): 84-88 |
| |
| Authors: | Hou Aiyu Jiang Xiaowei |
| |
| Affiliation: | Hou Aiyu Jiang Xiaowei (School of Mathematical Science and Computing Technology, CSU, Changsha, 410083 ) |
| |
| Abstract: | In this paper,the dynamics of a class of two dimensional d iscrete dynamical systems is considered via norm form theory,the local stability of positive equilibrium and the stability and direction of Neimark-Sacker bifu rcation of the system is also discussed.Finally,computer simulations are provide d to illustrate to the analytical results founded. |
| |
| Keywords: | Discrete dynamical system Stability Neimark-Sacker bifu rcation |
| 本文献已被 CNKI 维普 等数据库收录！ |
