USING GAUGING IN NONLINEAR PROBLEMS OF ECONOMICS, PHYSICS AND TECHNOLOGY
DOI:
https://doi.org/10.46991/PSYU:A/2015.49.3.031Keywords:
Cristoffel symbols, economic dynamics, Gauge theory, Solow model, invariant transformations, parallel transport, Cobb–Douglas function, “Invisible Hand”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.
Downloads
Published
2015-12-15
How to Cite
Badalian, L., & Krivorotov, V. (2015). USING GAUGING IN NONLINEAR PROBLEMS OF ECONOMICS, PHYSICS AND TECHNOLOGY. Proceedings of the YSU A: Physical and Mathematical Sciences, 49(3 (238), 31–36. https://doi.org/10.46991/PSYU:A/2015.49.3.031
Issue
Section
Mathematics
License
Copyright (c) 2015 Proceedings of the YSU
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
