Transformation of 3-D Jerk Chaotic System into Parallel Form

Abstract

The paper deals with the developing of the methodological backgrounds for studying 3-D chaotic systems. Such backgrounds allow us to perform the coordinate transformation for 3-D nonlinear dynamical object from serial form into parallel one. Above-mentioned transformation is based on the partial fraction decomposition of the systems’ feedforwards. Usage of the proposed approach is one of the ways of constructing a system with a chaotic dynamic and defining novel attractors. The approach has been proven by considering the example of modeling and simulating of third order chaotic system.