| 一类三维动力系统的分岔及混沌分析 |
| |
| 引用本文： | 张宇功,范学良,王碧轩.一类三维动力系统的分岔及混沌分析[J].温州大学学报(社会科学版),2014(4):32-36. |
| |
| 作者姓名： | 张宇功 范学良 王碧轩 |
| |
| 作者单位： | 兰州交通大学数理学院 |
| |
| 摘 要： | 对一类三维非线性混沌金融系统进行了动力学特征分析,得到了模型方程的三个平衡点,并对其稳定性进行了讨论.通过数值仿真得到了系统的分岔图及Lyapunov 指数图,进而分析了参数变化对系统稳定性及分岔的影响.该研究对理解各种金融政策的杠杆原理有参考意义.
|
| 关 键 词： | 金融系统 稳定性 分岔 混沌 Lyapunov指数 数值仿真 |
Analysis on Bifurcation and Chaos For A-Class Three-DimensionalDynamical System |
| |
| ZHANG Yugong;FAN Xueliang;WANG Bixuan.Analysis on Bifurcation and Chaos For A-Class Three-DimensionalDynamical System[J].Journal of Wenzhou University Natural Science,2014(4):32-36. |
| |
| Authors: | ZHANG Yugong;FAN Xueliang;WANG Bixuan |
| |
| Institution: | ZHANG Yugong;FAN Xueliang;WANG Bixuan;School of Mathematics and Physics,Lanzhou Jiaotong University; |
| |
| Abstract: | The paper gives three equilibrium points of the model equation and probes into its stability throughthe analysis on the dynamical characteristics of a-class three-dimensional nonlinear chaotic financial systems.Meanwhile, the bifurcation diagrams and Lyapunov exponent graphs are simulated by Matlab and then theimpact on stability and bifurcation of the system is analyzed based on different parameters. This researchprovides certain significance to understanding the lever principle of the various financial policies. |
| |
| Keywords: | Financial System Stability Bifurcation Chaos Lyapunov Exponent Numerical Simulation |
| 本文献已被 CNKI 维普 等数据库收录！ |
