The self-organizing methods were used for the investigation of financial market. As an example we consider data time-series of Dow Jones index for the years 2002-2003 (R. Mantegna, cond-mat/9802256). In order to reveal new structures in stock market behavior of the companies drawing up Dow Jones...

We consider relaxation oscillation governed by the coupled equations αẋ=(x−x0)1+pQ(x,y), ẏ=P(x,y), where α is a small parameter (α⪡1), p and x0 are given constants, and Q,P are nonlinear functions. We investigate the relaxation oscillations in the system and it is shown that their...