Application of the Nonlinear Oscillations Theory to the Study of Non-equilibrium Financial Market
The research deals with the construction, implementation and analysis of the model of non-equilibrium financial market using econophysical approach and the theory of nonlinear oscillations. We used scaled variation of supply and demand prices and elasticity of these two variables as dynamic variables in the simulation of the nonequilibrium financial market. View of the dynamical variables data was determined on the strength of econophysical prerequisites using the model of hydrodynamic type. As a result, we found that non-equilibrium market can be described with a good degree of accuracy with oscillator models with nonlinear rigidity and self-oscillating system with inertial self-excitation. The most important states of model of oscillation non-equilibrium model of the market were found, including the appearance of chaos and its mechanisms.