Construction of crisis precursors in multiplex networks

Based on the network paradigm of complexity in the work, a systematic analysis of the dynamics of the largest stock markets in the world has been carried out. According to the algorithms of the visibility graph and recurrence plot, the daily values of stock indices are converted into a multiplex networks, the spectral and topological properties of which are sensitive to the critical and crisis phenomena of the studied complex systems. It is shown that some of the spectral and topological characteristics can serve as measures of the complexity of the stock market, and their specific behaviour in the pre-crisis period is used as indicators-precursors of crisis phenomena. Keywords—stock markets, graph theory, complex networks.