Research On The Driving Element Of Collaborative Innovation In Beijing-Tianjin-Hebei Urban Agglomeration Industry Based On Haken Model

With the coordinated development of Beijing-Tianjin-Hebei as a major national strategy,and compared with the collaborative innovation of the Pearl River Delta and the Yangtze River Delta urban agglomeration,the collaborative innovation level of the Beijing-Tianjin-Hebei urban agglomeration needs to be improved,the research on the driving element of collaborative innovation of Beijing-Tianjin-Hebei urban agglomeration has gradually become a hot topic and focus of academic discussion.At the same time,the theory of synergy,as the basic theory of regional coordinated development,has been applied to the collaborative analysis of regional economic,transportation,ecological and other fields by many scholars.It has an extremely important reference value for the industrial collaborative innovation research of Beijing-Tianjin-Hebei urban agglomeration.Based on this,based on the flexible application of the theory of synergy,this paper constructs the Haken model commonly used in the synergy,and empirically analyzes the driving element of the collaborative innovation of the Beijing-Tianjin-Hebei urban agglomeration industry.By identifying the order parameters of the evolution of control systems under different historical background,we explore the key drivers that affect the collaborative innovation of the Beijing-Tianjin-Hebei urban agglomeration.Firstly,combining the theory of synergy and the theory of dissipative structure,this paper analyzes the connotation and basic characteristics of the collaborative innovation of the Beijing-Tianjin-Hebei urban agglomeration,and analyzes the driving element of the collaborative innovation of the Beijing-Tianjin-Hebei urban agglomeration,pointing out the industrial factor endowment(IFE),industrial structure adjustment(ISA),industrial technology cooperation(ITC),and industrial environmental conditions(IEC)is the four main drivers of the driving mechanism for the coordinated evolution of the Beijing-Tianjin-Hebei urban agglomeration industry synergy innovation.Then,the Haken model is analyzed from three aspects: adiabatic approximation principle,order parameter evolution equation and potential function.The Haken model modeling mechanism and index selection of the collaborative innovation of Beijing-Tianjin-Hebei urban agglomeration are elaborated.Finally,the Haken model is used to identify the driving factors of industrial synergy innovation in 13 cities in Beijing-Tianjin-Hebei urban agglomeration in 1998-2006 and 2007-2016.The results show that the driving mechanism of the Beijing-Tianjin-Hebei urban agglomeration industry synergy innovation has realized the coordinated evolution from the driving element of “industry structural adjustment” as the order parameter to the driving element of “industrial environmental conditions” as the order parameter,that is,the coordinated innovation of Beijing-Tianjin-Hebei urban agglomeration industry has risen from “point” to the “face”;and the following ten years(2007-2016)compared with the previous nine years(1998-2006),showing the following trends: from 1998 to 2016,the industrial synergy innovation level of most cities in the Beijing-Tianjin-Hebei urban agglomeration has been upgraded at a higher level,and the coordinated transformation from the primary stage to the intermediate stage has been basically achieved;Compared with the first stage,the level of collaborative innovation in some cities in Hebei increased rapidly in the second stage,but the scores of cooperation in Hebei cities were generally lower.;Beijing-Tianjin-Hebei urban agglomeration industry synergy innovation enters a new stage.