Singular Differential Equations and their Applications for Modeling Strongly Oscillating Processes

The normal system of ordinary differential equations, whose right-hand sides are the ratios linear and nonlinear positive functions, is considered. A feature these that some their denominators can take on arbitrarily small nonzero values. (Thus, modules corresponding derivatives large value.) In sequel, constructed equations used to model strongly oscillating processes (for example, determined by rhythms electroencephalograms measured at certain points in cerebral cortex). obtained results be diagnose human brain diseases.