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第423章 手机录音(1 / 2)

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机场,候机大楼。

宽敞明亮的贵宾室,英俊少年坐在沙发上,笔记本电脑打开。

四千个路口的城市卡顿运行,所有车流人流跑的一顿一顿,时而时间暂停,时而闪现瞬移,看起来令人头疼。

宋河没动键盘,只是思考。

城市到了这个规模,数学模型的新切入点很可能是混沌系统!

混沌系统他可太熟了,当初学非线性系统知识的时候,刷过两大本混沌系统的习题,什么一维混沌系统、Logistic-Map映射的概率密度函数、二维混沌的加密因子序列、混沌吸引子等等,全是老熟人!

通俗来讲,混沌系统对于初始条件非常敏感,呈现出类随机的状态,既非周期又不收敛。

混沌系统理论里的一个重要概念是分叉!

一个参数的变化引起整个系统的急遽反应,量变引发质变,便是所谓的分叉!

比如此刻电脑上的道路,一条路上的车辆密集到一定程度,便会发生事故,事故车辆把街心一堵,整条路彻底瘫痪,便可以视为分叉!

每次分叉,整个系统的复杂性便会翻倍增加!

连续多个分叉发生后,恶性循环出现,整个系统跨过某个界限,由规律变得不规律,便进入了混沌状态!

宋河目光老辣地扫过电脑屏幕。

屏幕上的城市卡顿得像PPT,但无妨,只需看一看右下角的数据,便能清晰判断出,此刻城市已变为混沌状态!

【综合拥堵率:40%!】

【综合拥堵率:58%!】

【综合拥堵率:31%!】

【综合拥堵率:37%!】

数值不断变化!

先是拥堵的路口出现交通事故,特定的几条街相继瘫痪。

瘫痪街道的交通好不容易疏通开,一些车流稀少的街道竟也开始事故频发。

于是,拥堵率数据反复横跳!

整座城市的交通状况十分诡异,仿佛有什么脏东西在街头游荡,随机触发撞车,取人性命!

宋河嘴角抿紧,继续思索。

如果把每条街的交通流量抽象为一个初始点,初始点演化过程中会呈现一条轨迹,即一个流,所有流综合起来,便形成一个相图,代表整座城市!

整个空间流形的几何结构取决于算子,算子取决于参数,参数随着道路的车流数量连续变化,当跨过某个临界值时,相空间里原本平滑的地方便会扭曲!

这种扭曲,即系统模式的跳变,可以用拓扑结构来做!

拓扑!

宋河眉开眼笑,一刹那,他有种复行数十步豁然开朗的快感!

他可是地地道道的拓扑高手!抵达过拓扑边界的人!

大量灵感急剧爆发,但他却不得不稍微暂停,合上电脑。

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