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JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive

Proceedings of the YSU, Physical and Mathematical Sciences, 2015 Issue 3, Pages 31–36 (Mi uzeru33)

Mathematics

Using gauging in nonlinear problems of economics, physics and technology

L. H. Badalian, V. F. Krivorotov

Millenium Workshop

Abstract: The approach proposed in this paper uses ideas and instruments of gauging theory to handle nonlinear problems in economics, nonlinear dynamics and various technological issues. We see nonlinearity of gauging as hardly a technical issue arising while solving the variation problem, but a structural feature of an intrinsically nonlinear space shaped by its gauge-based connections. Under these assumptions, the solution of the variation problem is shown as invariant to transformations of the vector field which present the initial source of nonlinear disturbances.

Keywords: Cristoffel symbols, economic dynamics, Gauge theory, Solow model, invariant transformations, parallel transport, Cobb–Douglas function, “Invisible Hand”.

MSC: Primary 53Z05; Secondary 53C05, 37D35, 37D45

Received: 27.09.2015
Accepted: 30.10.2015

Language: English



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