Economics and mathematics modeling of gold market in Ukraine by nonlinear dynamics methods
Keywords:
fractal, attractor, Hurst index, the dimension of the phase space, correlation dimension, correlation entropy, Lyapunov maximum indicatorAbstract
Introduction. Implementation of dynamic and effective development of the financial market is an important task of the state at the stage of market reforming of the economy. To build the last it is advisable to rely on advanced scientifically based methods and principles of regulation, to ensure the functioning of its various elements, including the gold market, which plays an important role in the stable development of the economy.
Goal. The purpose of the article is the investigation of non-equilibrium processes in the gold market of Ukraine by the nonlinear dynamics methods.
The method (methodology). In this research we have used the methods of economic and mathematical modeling, methods of nonlinear dynamics, chaos theory.
Results. It has been analyzed the rate off gold in Ukraine for the period from 02.04.2002 till 11.20.2015 by the methods of nonlinear dynamics. The attractor of gold market is reconstructed. It has been revealed that it is of persistent and trend-resistant nature and has fractal features. It has been defined that the gold market in Ukraine as a dynamic system has a chaotic component. Its nature is determined. The sensitivity of a system to initial conditions is revealed.
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