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the Korpuskuljarno-wave approach to the description of process of distribution of innovations

Ekonofizika as a special direction in the economic science, studying economic processes on the basis of fundamental laws of the nature and physical theories, began to develop in the mid-nineties of the XX-th century.

The purposes ekonofiziki are deep empirical researches economic both a financial system and working out of the causal models, explaining these deep empirical data [143]. According to R.Engla, the Nobel prize winner on economy in 2003, the master of physics: «It is an excellent combination (economists with physical formation) because physicists constantly worry concerning integration of the theory and data and for this reason I think, that physicists are inclined to become good ekonometrikami.» [144, with. 2].

In frameworks ekonofizicheskogo the approach physicists-researchers apply to the decision of economic problems basically a method of analogies: select for certain economic process the suitable physical process, allowing to apply a mathematical apparatus corresponding to it [143]. Despite the existing criticism of some works on ekonofizike [145, 146], the given approach has shown the solvency. For example, in work [147] was
The analogy between the power cascade in hydrodynamic turbulence and information the cascade in the market is revealed; in [148] financial troubles on the basis of methods of nonlinear dynamics and phase transitions are described; in [149] growth and population development as samoorganizujushchijsja systems on the basis of physics methods is considered; in [150] it is shown, how the quantum theory is applied in theory decision-making, in the description of economic processes and so forth

Questions of application of physical laws to economic objects are considered in A.A.water Lazsky, P.N.Drobota, M.M.Dubovikova, A.A.Yezhov, V.P.Maslov's works, M. JU and JU.M.Romanovsky, N.V.Starchenko, G.Stenli, M.J.Havinsona, V.V. Haritonova, A.Hrennikova [143-157], etc.

Developing ekonofizichesky the approach, possibility of application of a mathematical apparatus of the korpuskuljarno-wave theory for modelling of process of distribution of innovations will be more low shown.

The hypothesis is put forward, that process of distribution of innovations probably to compare to the diffusion and interference processes, proceeding in physical environments. The given hypothesis is based on works of scientists: V.Avramchikov, M.Asano, R.Britto, M.Dzhaber, Z.Mehia, A.Hrennikov, Century-with. CHen, etc., shown possibility of carrying over of mathematical models of the processes proceeding in physical environments, on model of the processes proceeding in social and economic environments, at observance of certain conditions, as is an essence ekonofizicheskogo the approach [11, 103, 158-160].

The mathematical apparatus used in the korpuskuljarno-wave theory, will allow to solve a problem of the account of mutual influence and influence of environment. The Korpuskuljarno-wave approach - a principle according to which for physical object there is a potential possibility to prove, depending on environmental conditions, either as a wave, or as a particle, or intermediate image. It is received, such object can be described, including, as with use of the mathematical apparatus based on the wave equations, and based on submission about object as about a particle [161].

For studying of mutual influence of innovations is of interest two phenomena: an interference and diffusion.

In a case when between corresponding changed sizes there is a proportionality, but these sizes have the various nature speak about mathematical similarity, or about analogy.

Thus not their qualitative properties, and conventional attitudes between elements of systems [162] will be the general in the compared phenomena. The method of mathematical analogy establishes analogies of mathematical descriptions of developments of various objects by the nature with subsequent use of more exact mathematical description of one of them for research of other [163]. Depending on character of the information transferred from one subject on other, the analogy is divided into two kinds: analogy of properties and analogy of relations [164]. In our case the analogy of relations is used: the information transferred from one subject on other, characterises relations between two subjects. For achievement of mathematical similarity it is necessary, that both systems were described by the equations identical by the form.

Fulfilment of similarity of conditions of unambiguity, as comparison of two environments is more low shown: physical and social and economic in which distribution process (see table 2.1) is considered.

Table 2.1 - Comparison of two environments

The physical environment The Social and economic environment
Homogeneous system with very considerable quantity of particles. Environment in which there is a final big number of potential buyers and final number of manufactured innovative products, Ei - possible sales volume U.
The nonequilibrium environment: availability of gradients of some parametres which are changed in time and (or) in space. The nonequilibrium environment: Demand - quantity of innovations U ~ which potential buyer N wishes to acquire, and the offer - quantity of innovations U +, manufactured on the market. Distribution of innovations - the nonequilibrium process aspiring to achievement of balance of a supply and demand.

Table 2.1 continuation

The physical environment The Social and economic environment
The isotropic environment: physical properties do not depend on a direction. The isotropic environment: there is parametre D describing a condition of such market (useful characteristics of an innovation, throughput of the market etc.).

Parametre uniform for the considered market that supplies izotropnost.

From the point of view of the wave approach: substance Interaction occurs including in Wednesday Wave character is shown through competition for resources (material - on a working out phase, market volume - on a phase kommertsializatsii).

2.2

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A source: TSvetkova Hope Andreevna. MODELS And the MANAGEMENT METHOD PROCESS of DISTRIBUTION of INNOVATIONS With allowance for THEIR MUTUAL INFLUENCE In SOCIAL AND ECONOMIC SYSTEMS. The DISSERTATION on competition of a scientific degree of a Cand.Tech.Sci. St.-Petersburg - 2018. 2018

More on topic the Korpuskuljarno-wave approach to the description of process of distribution of innovations:

  1. Chapter 3 Management of process of distribution of innovations
  2. 1.3 Mathematical models of distribution of innovations
  3. Distribution of innovations
  4. TSvetkova Hope Andreevna. MODELS And the MANAGEMENT METHOD PROCESS of DISTRIBUTION of INNOVATIONS With allowance for THEIR MUTUAL INFLUENCE In SOCIAL AND ECONOMIC SYSTEMS. The DISSERTATION on competition of a scientific degree of a Cand.Tech.Sci. St.-Petersburg - 2018, 2018
  5. Chapter 2 Mutual influence of innovations in the course of their distribution
  6. Mathematical model of distribution of innovations
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  10. 1.4.4. The is functional-prepotent approach to the description idiostilja
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  12. 4.1 Management method process of distribution of an innovation
  13. Section 4. The RUSSIAN APPROACH To the DECISION of the PROBLEM of NON-DISTRIBUTION of ROCKETS And ROCKET TECHNOLOGY
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