CAJ | 학술논문

在一维模型的基础上，构造出了资源存量及资源开发速度的二维离散动力学控制模型，研究了在资源开发速度控制下，系统在某个产量范围将混沌系统控制到正不动点。首先应用非线性动力学方法分析了二维系统正不动点的存在性和局部稳定性，给出了使资源存量稳定到固定值的新的产量范围，其次用数值模拟的方法验证了产量范围的正确性，证明了新的产量范围更广，并且与一维系统相比在某个产量范围内新系统是稳定的。最后指出，如果政府对资源开发速度实行管理，不但能保持一定的资源存量，使人们长久地获取资源，还可以满足资源型产业对较高产量的要求。
재일유모형적기출상，구조출료자원존량급자원개발속도적이유리산동역학공제모형，연구료재자원개발속도공제하，계통재모개산량범위장혼돈계통공제도정불동점。수선응용비선성동역학방법분석료이유계통정불동점적존재성화국부은정성，급출료사자원존량은정도고정치적신적산량범위，기차용수치모의적방법험증료산량범위적정학성，증명료신적산량범위경엄，병차여일유계통상비재모개산량범위내신계통시은정적。최후지출，여과정부대자원개발속도실행관리，불단능보지일정적자원존량，사인문장구지획취자원，환가이만족자원형산업대교고산량적요구。
In this paper, we construct a two-dimensional discrete dynamic system which describe the resource stock and the development pace of resource based on the one-dimensional discrete dynamic system , and the new system control the chaotic system to the positive equilibrium point in a certain range of production under the control of development rate of resources.First of all, we use the method of nonlinear dynamics to analyze the existence and local stability of the positive equilibrium point of the two-dimensional system, and get the range of production which ensures the stability of resource at fixed value, then we verify the validity of the threshold by numerical analysis, and the new range of production is wider. And compare with the one-dimensional system, the new system is stable in a certain range of production.In the end, we argue that if the government manage the speed of exploiting resources, not only can we maintain a certain stock of resources so that people can get more resources permanently, but also we can ensure a higher yield.