【摘要】 对 Lorenz系统的不动点进行了深入研究 ,对 Lorenz吸引子的对称性和周期性作了分析讨论 .针对 Lorenz系统微分方程特点 ,研究采用了迭代图形方法和数学分析方法 .结果表明 ,Lorenz系统不仅具有动力学特性 (混沌特性和奇异吸引子特性 ) ,还具有对称性和周期性 .特别 ,文章首次给出一组新的有关 Lorenz系统的对称图形和周期图形更多还原

【Abstract】 The paper made a detailed study on the fixed points of Lorenz system. The symmetry and period of the Lorenz attractor are discussed by using an iterate-graphic method and numerical analysis to differential equation for Lorenz system.The results show that the Lorenz system not only has dynamical characters,but also symmetric and period characters.Specially,this paper gave firstly one class of new graphics thatis sym- metrical or periodic on the Lorenz system.更多还原