Airport, passenger terminal.
In the spacious, brightly lit VIP lounge, a handsome young man sat on a sofa with his laptop open.
The city with four thousand intersections stuttered along, every stream of cars and pedestrians jerking in fits. At times, time seemed to stop; at others, things flashed and teleported. It was a headache just to look at.
Song He did not touch the keyboard. He simply thought.
Once a city reached this scale, a new entry point for the mathematical model was very likely the Chaos System!
He was all too familiar with the Chaos System. When he had studied nonlinear systems, he had worked through two thick books of Chaos System exercises. One-dimensional Chaos Systems, the probability density function of the Logistic Map, encryption factor sequences for two-dimensional chaos, Chaotic Attractors, and so on—every one of them was an old acquaintance!
Put simply, a Chaos System was highly sensitive to its initial conditions and exhibited a quasi-random state. It was neither periodic nor convergent.
An important concept in Chaos System theory was bifurcation!
A change in one parameter causing an abrupt reaction throughout the entire system—quantity triggering a qualitative change—was what was known as bifurcation!
Take the roads on the computer at that moment. Once the vehicles on a road became dense enough, an accident would occur. The vehicles involved would block the middle of the street, completely paralyzing the entire road. That could be regarded as bifurcation!
With every bifurcation, the complexity of the entire system doubled!
After several successive bifurcations occurred, a vicious cycle emerged. Once the entire system crossed a certain threshold, changing from orderly to disorderly, it entered a state of chaos!
Song He swept his seasoned gaze across the computer screen.
The city on the screen was stuttering like a slideshow, but