| 尤晓玲.Chen式系统的动力学行为研究及混沌抑制[J].电气自动化,2014,36(1):21~23 |
| Chen式系统的动力学行为研究及混沌抑制 |
| Research on Dynamic Behavior and Chaos Control of Chen System |
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| DOI： |
| 中文关键词: Chen式系统 周期运动 分岔 混沌 比例微分控制 |
| 英文关键词:Chen System periodic motion bifurcation chaos proportional differential control |
| 基金项目:兰州石化职业技术学院2012年度教育教学研究课题项目JY2012-080 |
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| 中文摘要: |
| 进一步研究了Chen式系统的动力学行为，理论分析了系统在平衡点的稳定性。通过经典四阶龙格——库塔方法数值仿真了系统随不同参数变化的全局分岔图，通过分岔图揭示了在不同参数下通过不同形式通向混沌的复杂动力学行为。在不同参数时，存在周期运动、叉式分岔、倍化分岔序列、混沌行为。通过相图和时间响应图演示了混沌现象。采用比例微分控制方法进行控制，数值仿真结果表明被很好的控制在周期二和长周期轨道。 |
| 英文摘要: |
| This paper studies the dynamic behavior of the Chen System and analyzes theoretically the stability of the system at the equilibrium point. In the classical fourth order Runge Kutta method, it emulates numerically the system’s global bifurcation diagrams varying with different parameters diagrams which reveal the complex dynamics behavior of the system which leads it to chaos in different ways under the influence of different parameters. For different parameters, the system may have periodic motion, pitchfork bifurcation, doubling bifurcation sequence and chaotic behavior. System's chaos is demonstrated in the phase diagram and time response charts. The system is controlled in the proportional differential method. The results of the numerical emulation show that the system is well maintained on the orbits of Cycle II and long cycles. |
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