Transformation of the generalized chaotic system into canonical form

Abstract

The paper deals with the development of a numerical algorithm for transforming a generalized chaotic system into its canonical form. Such transformation allows us to simplify control algorithm for chaotic system. This algorithm is defined by using Lie derivatives for output variable and a solution of nonlinear equations. The use of the proposed algorithm is one of the ways for discovering new chaotic attractors. These attractors can be obtained by transformation of known chaotic systems into various state spaces. Transformed attractors depend on both parameters of chaotic system and sample time of its discrete model.