universal data

Chapter 367 Simple tasks
370 chapter

【X=z+(ya)x
Y=1-by-x^2
Z=-x-cx]

Among them, a is the amount of savings, b is the unit investment cost, and c is the elasticity of demand for goods.

Afterwards, through the overall analysis of the stable system, the coordinates of the equilibrium points in seven cases are obtained.

分别为当c-b-dc≤0、c-b-dc＞0、c-b-abc＞0，c+a-1/b＞0、c-b-abc＞0，c+a-1/b＜0、……

Then, through the dynamic analysis results in the above system, Hull and the others found that when the parameters a, b, and c take certain values, the system can tend to be stable.

In other words, if the key financial indicators are properly combined, such as the amount of savings, unit investment cost, and elasticity of commodity demand, then the financial system can operate stably.Its chaos disappears and becomes predictable.

Based on this discovery, the three of Hull used this as a basis to study this aspect by constructing a linear control model of the financial chaotic system.

The latter is the research process after specific modeling.

Cheng Nuo nodded frequently after listening to Hull's narration.

Worthy of being a doctoral student at MIT, he is impeccable both in terms of knowledge storage and mathematical research level.

And this subject itself is not very difficult.There are no flaws in the research direction and research procedures of the three people.But even if it is found, I'm afraid it will be insignificant.

Judging from this progress, the project can be easily completed within ten days to half a month without his own participation.

Hull closed the document, turned to Cheng Nuo and said, "Cheng, this is the current research progress of our project. The control model of investment demand and deposit interest rate has been modeled, and some of the initial values ​​have also been adjusted."

"Let's do this. Henry and Gal will seize the time to build the comprehensive control simulation system of the third financial system. Cheng, you are responsible for entering the initial models of these three models, and conducting numerical simulation debugging to determine the model we constructed. Does it meet the requirements?" Hull assigned the task.

Cheng Nuo nodded, "No problem."

Although the characters assigned to him are no different from those who do odd jobs, but in short... nothing is better than nothing!
I have just joined the Fresnel Research Office, so it is basically unlikely that I will be exposed to large-scale projects as soon as I come up.

Alas, forget it, no matter how small a mosquito is, it is still meat.Anyway, if you want this kind of outsourcing project, you can get a bonus.

Even so, Cheng Nuo didn't care about the money.

"Henry, Gall, do you two have any objections?" Hull asked.

Henry and Gal looked at each other, hiding the slightly hostile look in their eyes, and shook their heads, "No."

"Okay." Hull clapped his hands and said, "Then let's go our separate ways."

The brief meeting of the four members of the project team ended.

Cheng Nuo returned to his desk in boredom. Just as he sat down, he suddenly remembered something and returned to Hull's desk.

"Hull, can you send me a copy of the two models you made so that I can do numerical adjustments." Cheng Nuo patted Hull on the shoulder and said.

Hull slapped his head, "Oh, I almost forgot this! I'll send it to you right away!"

"By the way, Cheng, do you have a ResearchGate account, may I add you?"

Cheng Nuo shook his head, "No. But wait a moment, I'll register."

As the largest academic social networking site in the United States, its review of registered members is naturally not as simple as having a mobile phone number like in China.

After entering your name and identity information, select the industry field you are engaged in.Cheng Nuo natural selection is mathematics.

After completing ten more difficult questions that were equivalent to the final questions of Huaguo's college entrance examination, Cheng Nuo officially became a registered member of the website.

The site has a lot of pretty useful features besides being social.But Process Nuo doesn't have time to study these now.

After Hull and Hull became friends with each other, Hull packaged all the data formulas and models of the outsourcing project and sent them to Cheng Nuo.

Cheng Nuo thanked him, sat on the office chair, leaned against the back of the chair, and started his work.

Numerical simulation and numerical debugging are simply a verification process.Check whether the constructed financial model system meets the requirements of the funder.

This work is very simple, just take multiple sets of initial values ​​and substitute them in.

Cheng Nuo entered the first set of data.

[When cb-abc>0, if a=1, b=0, c=1, the initial condition is [3, 1, 5], and the simulation time is [0, 1000], a three-dimensional phase of the financial chaotic system will be generated. picture. 】

On Cheng Nuo's computer screen, a phase diagram of a financial chaotic system appeared.

Below, are the phase diagrams of the control system for the deposit rate and investment demand, respectively.

Cheng Nuo compared what was shown in the phase diagram with the calculated data, and they were exactly the same!
Cheng Nuo substituted the second set of data and continued to repeat the steps.

Half an hour later, Cheng Nuo stretched himself.

It's boring, it's boring!

It was completely mechanical and repetitive work, without the sense of accomplishment of overcoming difficulties one after another. Cheng Nuo suddenly felt that life was boring.

In this half hour, Cheng Nuo entered more than 50 sets of data, and the results were all the same as the calculated values.

But this was also expected by Cheng Nuo.

If even the top three PhDs in mathematics at MIT can't handle such a small modeling job, then hell!

Anyway, Cheng Nuo basically didn't have any ideas about this project.

The next step can only be decided based on the content of the second project assigned to him by Fresnel.

I looked at the clock on the wall, it was still a while before I got off work.

Although Professor Fresnel is very strict with the working hours of several assistants, he doesn't care so much about the discipline in the office.

Cheng Nuo swiped his phone for a while, checked the latest political news, and thought about how to become a successor to socialism, then shifted his interest to the ResearchGate website he just registered today.

In terms of functions, this chat software is definitely inferior to the domestic Penguin WeChat, and even Facebook.Even the mobile APP of this software was only officially launched last year.

But in terms of its academic communication, no one can surpass it.

What you can see here are academic discussions by scientists and scholars from all over the world, scientific blog posts written by them, global conference consultation and recruitment information. At the same time, you can also download academic resources for free and share cutting-edge scientific experts, scholars and scientific research in various fields around the world. The latest scientific research results and academic works of the group.

Cheng Nuo first followed several top academic figures on this software.

For example, his current "boss" Professor Fresnel, the last Philippine Award winner Schultz, and the leader of the number theory field, Mr. Ryan.

Subsequently, a forum-like section on the software was filled with messages.

Suddenly, a message caught Cheng Nuo's attention.

(End of this chapter)