非线性动力学和湍流

NONLINEAR DYNAMICS AND TURBULENCE

中文摘要:

      湍流的发生和发展湍流的描述是一个基本问题.浑沌运动的最近研究表明,确定性的系统可以有不规则的浑沌结果,因此浑沌的研究对解释湍流现象是非常重要的.浑沌和湍流的特点是敏感初条件,并且长时间以后是不可预测的.非线性耗散系统中运动的形态是非常复杂的.可以有定常吸引子,周期吸引子,拟周期吸引子和奇怪吸引子.当控制参数变化穿过分岔点,吸引子的拓扑性质就要发生变化.一般,湍流经过极少数几次分岔即可出现.

英文摘要:

      The problem of the onset of turbulence and the description of developed turbulence are basic problem.The recent development of chaotic motions shows that deterministic systems may have solutions which behave irregularly in time.Hence the investigation of chaos becomes especially important in order to explain the turbulence phenomena.The chaotic tubulent-like behaviour is sensitive to initial conditions and unpredictable after long times.