Research On The Mathematical Model Of Relationship Between Chinese Finance Development And Economic Growth

Since the reform and opening up,with the continuous growth of China's national economy,each industry of China is also booming.In particular,the financial sector is developing faster.The relationship between the vigorous development of China's financial sector and the achievements of China's economic development has gradually become the focus of academic research.However,there are few researches on the intrinsic relationship between financial development and economic growth from the perspective of economy operation.Therefore,based on the mathematical economics as the basic starting point,starting from the analysis of the operation rules of the model itself,internal operation mechanism,stability and other relevant aspects,the relationship between financial development and economic growth in China has been studied in depth.The main contents of this dissertation include: based on the classic endogenous economic growth model as a starting point,constructing the nonlinear dynamic system of financial development and economic growth;constructing the nonlinear dynamic system of financial industry economic growth under the condition of talent flow;analyzing stability of the nonlinear dynamic system;discussing the instability of the model;analyzing the existence conditions of Hopf bifurcation,the bifurcation direction and the stability of bifurcation periodic solution;and providing the numerical simulation.In the fifth chapter,the lag effect of financial growth on economic growth is analyzed according to the model of financial development and economic growth.In the sixth chapter,the author makes an empirical analysis on the actual situation of the quoted companies in China and China's macro-economy,and the conclusion is that China's financial development will promote the national economy in a certain extent.Under detailed research,we have made the following innovations: first,in the study of the relationship between financial development and economic growth introduced the nonlinear dynamical system theory,establishing the nonlinear dynamic system of the endogenous growth model of financial development and economic growth,establishing the nonlinear dynamic system of financial development and economic growth under the condition of talent flow,discussing the stability of the model and the conditions of instability from the point of view of Mathematical Economics;second,based on the theory of macroeconomic growth,a system of supply and demand theory of financial development and economic growth is established,and the lagging economic benefits of financial development on economic growth are analyzed.Third,there is innovation in the perspective of financial development and economic growth too.The research of financial development theory has been focused on the macro analysis by using the mathematical statistic method,but less of them do some research in dynamical perspective of the finance development and economic growth system operation.This dissertation studies the operation of the finance development and economic growth system by annual data of Chinese macroeconomic.I wish that the relationship between financial development and economic growth in China could be showed clearly under the study of this dissertation,readers could understand the "supply side" structural reform and financial system innovation deeply.In this dissertation,the theory of financial development and economic growth in China is comprehensively considered,which provides a reference for the development of China's economic development plan and the development of financial industry.