Observations of deterministic chaos in financial time series by recurrence plots, can one control chaotic economy?

• DOI: 10.1007/pl00011109
• Publication Date: 2006-04-11T10:46:13Z
• Authors: J.A. Hołyst; M. Żebrowska; K. Urbanowicz
• Keywords: 0103 physical sciences; 01 natural sciences

Several economical time series such as exchange rates US$/British Pound, USA Treasure Bonds rates and Warsaw Stock Index WIG have been investigated using the method of recurrence plots. The percentage of recurrence REC and the percentage of determinism DET have been calculated for the original and for shued data. We have found that in some cases the values of REC and DET parameters are about 20% lower for the surrogate data which indicates the presence of unstable periodical orbits in the considered data. A similar result has been obtained for the chaotic Lorenz model contaminated by noise. Our investigations suggest that real economical dynamics is a mixture of deterministic and stochastic chaos. We show how a simple chaotic economic model can be controlled by appropriate influence of time-delayed feedback. PACS. 05.45.Tp Time series analysis { 05.45.Gg Control of chaos, applications of chaos