This paper studies Hopf bifurcation of a kind of complex economic systems with rich elasticity. The conditions for the presence of bifurcation, the stability of periodic orbit before the emergence of Hopf bifurcation and the critical parameter value of the system are obtained. According to Taken's estimation, the evolvement situation of the complex system is also given. Numerical examples are given to verify the validity of the present theory. The obtained result is of theoretical importance and has practical applications to exploring the inherence mechanism of the complicated continuous economic systems and establishing a reasonable macro control policy.
In order to achieve association of carrier industry such as the flow, logistics, capital flow, information flow and improve the connection of infrastructure of two transportation network and communication information network, a new method of evaluating the industry linkage degree based on complexity theory and grey relational degree is provided in this study. The study uses the formula method and gray correlation method to establish Zaozhuang industrial linkage development model, quantitatively analyses the seven major economic development zones in Zaozhuang. Then, we give development proposals of industrial linkage of Zaozhuang according to the analysis result. The recommend has certain reference value in critical stage of industry transformation industries and linkage in Zaozhuang.
Due to the unreasonable industrial structure and energy structure, the development of provincial economy of Shandong province is slowing in decade years. In order to found the root cause of the problem, improve the energy development and the economic structure in Shandong province, achieve economic development bottleneck breakthrough, this study made a comprehensive analysis on the situation of energy consumption of Shandong Province and then introduces the method of grey correlation on the energy structure of Shandong Province, analyzes the problems. This study has certain theory significance and practical application value, the coordinated development of economy and energy development in Shandong province and has certain guiding innovation significance of relevant field.
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