Journal of Applied Nonlinear Dynamics 9(3) (2020) 483--491 | DOI:10.5890/JAND.2020.09.010

Anatoly Kachynsky, Volodymyr Tkach, Bohdan Bashynsky

Department of Information Security, NTUU Igor Sikorsky Kyiv Polytechnic Institute, Kyiv 03056, Ukraine

Abstract

The wavelet analysis is a fairly new approach to the study of various systems, especially for financial markets. Wavelet transform is the decomposition of a one-dimensional signal based on a soliton-like function (wavelet) by its stretching (compression) and displacement along the time axis. In a period of a market-driven global economy, when financial crises are significant sources of destabilization of not the economy only, anticipation and minimization of losses from global financial crises are very important. The study of the currency market is one of the pressing problems of the modern economy, which in its turn addresses the mathematical tools. The purpose of the work is to determine the main regularities in the numerical series of the Ukraine hryvnia (UAH) against the US dollar and the Russian ruble (RUR) to the US dollar (USD).

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