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近十年来,理论物理和动力系统研究中的混沌理论和数值计算中的同伦算法象两颗耀眼的明星,吸引了许多学者.围绕这两大发展,有一些故事堪称为现代数学发展史上的佳话.周期3则乱七八糟每一门学科都以成功地运用数学作为其成熟的标志,而数学则总是简洁明确地把科学问题的实质展现在人们面前.然而,世界并不象以往的数学那么单纯.今天并不能完全预知明天.股票市场的行情仿佛按照价值规律在正常发展,不料一夜之间会发生价格暴跌.袅袅上升的一缕青烟,会突然变成层层烟圈,四处飘散.风暴、地震、心肌梗阻、种群繁衍振荡,这些自然界的灾变现象到处可见,层出不穷.即使在实验室的风洞实验条件下,旗帜也总是呼啦啦地飘忽不定,并不会平坦地展开.所有这一切都使人觉得,混乱无所不在,自在的宇宙和理性的数学各唱各的调.
In the recent ten years, the theory of chaos in theoretical physics and dynamical systems and the homotopy algorithm in numerical computation have attracted many scholars such as two dazzling stars. In these two major developments, some of the stories are called the history of modern mathematics Cycle three is a mess Every discipline is the successful use of mathematics as a symbol of its maturity, and mathematics is always concise and clear to the essence of scientific issues before the people However, the world is not like the previous math So simple. Today can not completely predict tomorrow. The stock market as if in accordance with the law of value in the normal development, unexpectedly overnight price collapse will occur. Curl up a ray of smoke, will suddenly turn into layers of smoke ring, floating around Storms, earthquakes, myocardial obstructions, and the multiplication and oscillation of flora and fauna all over the world are catching up and catching up, even in the wind tunnel experiments in the laboratory, where the flag always flashes and does not flatten out. All of this makes one feel that chaotic omnipresent, free universe, and rational math sing each tune.