On a High-Precision Method for Studying Attractors of Dynamical Systems and Systems of Explosive Type

The author of this article considers a numerical method that uses high-precision calculations to construct approximations attractors dynamical systems chaotic type with quadratic right-hand side, as well find the vertical asymptotes solutions explosive type. A special case such is population explosion model. theorem on existence proved. extension for piecewise smooth described using Chua system an example, hysteresis.