| 高智中.一种新的超混沌系统的计算机仿真分析[J].井冈山大学自然版,2011,(5):29-31,45 |
| 一种新的超混沌系统的计算机仿真分析 |
| SIMULATION OF A NOVEL HYPERCHAOTIC SYSTEM |
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| DOI： |
| 中文关键词: 新超混沌系统 非线性反馈控制器 Runge-Kutta数值积分法 |
| 英文关键词: novel hyperchaotic system nonlinear feedback controller Runge-Kutta numerical integration method |
| 基金项目:安徽科技学院校自然科学项目(ZRC2010260) |
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| 中文摘要: |
| 为提高混沌吸引子的拓扑结构的复杂性，在Lu系统中加入一个非线性状态反馈控制器构造了一种新的光滑四维超混沌系统。运用经典的四阶Rtmge．Kutta数值积分法求出该系统的数值解，绘制了该系统的吸引子的相图、时间相应图、功率谱图、分岔图、Lyapunov指数谱图等。分析结果表明，新的四维超混沌系统随着参数变化呈现超混沌、混沌及周期等复杂动力学行为．对其分岔与混沌行为的分析为研究其它模型提供了一定的理论参考。 |
| 英文摘要: |
| In order to enhance the complexity of attractor＇s topological structure, a kind of novel four-dimensional smooth hyperchaotic system is constructed by adding nonlinear state feedback controller to Lu system. The numerical solution of the system is acquired by the classic fourth-order Runge-Kutta numerical integration method. The phase diagram, time response diagram, power spectrum diagram, the bifurcation diagram and Lyapunov exponent＇s spectrum diagram are given by means of numerical simulations. The results show that this system＇s complex dynamics behavior can be hyperchaotic, chaotic and periodic as the parameter varies. The analysis of its bifurcation and chaos also provides a theoretical reference for studying other models. |
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