CAJ | 학술논문

研究了Rossler系统的动力学行为，用Lyapunov指数理论论证了该系统存在混沌现象，数值仿真的相图揭示了混沌现象存在的具体形式，全局分岔图显示了随着系统参数的变化，系统由周期轨道经倍化分岔序列通向混沌的动力学特性。系统随不同参数变化的分岔图表明：随着参数的变化，系统变化的趋势基本一致，只是系统参数变化的方向不同，系统变量的取值范围不同。利用比例微分控制器控制混沌，当控制参数取恰当数值时，该方法能将系统控制到期望的周期轨道。该文进一步完善了对Rossler系统动力学行为的研究，为该系统混沌行为的抑制及实际工程的应用提供了理论依据。
연구료Rossler계통적동역학행위，용Lyapunov지수이론론증료해계통존재혼돈현상，수치방진적상도게시료혼돈현상존재적구체형식，전국분차도현시료수착계통삼수적변화，계통유주기궤도경배화분차서렬통향혼돈적동역학특성。계통수불동삼수변화적분차도표명：수착삼수적변화，계통변화적추세기본일치，지시계통삼수변화적방향불동，계통변량적취치범위불동。이용비례미분공제기공제혼돈，당공제삼수취흡당수치시，해방법능장계통공제도기망적주기궤도。해문진일보완선료대Rossler계통동역학행위적연구，위해계통혼돈행위적억제급실제공정적응용제공료이론의거。
This paper studied the Rossler system dynamical behavior , with the Lyapunov index theory to prove the existence of chaotic phenomena , numerical simulation of phase diagrams reveal the chaotic phenomenon exists in specific forms , global bifurcation diagram shows along with the change of the system parameters , system have dynamic characteristics that from period track to the chaotic through doubling bi -furcation sequences .System with different parameters of the bifurcation diagram shows that:when the pa-rameters change , the system have a similar change tendency , but the change of system parameters in dif-ferent directions , the system variable ranges are different .Using proportional and differential controller to control the chaos , when the control parameters is appropriate value , this method can be controlled system to the desired periodic orbit .The work to further improve study on dynamic behavior for Rossler system , for the chaotic behavior control and the practical application in engineering provides a theoretical basis .