Transformation of the generalized chaotic system into canonical form

• Main Author: Roman Voliansky
• Format: Article
• Language: English
• Published: Universitas Ahmad Dahlan 2017-12-01
• Series: IJAIN (International Journal of Advances in Intelligent Informatics)
• Subjects: Chaos; Dynamical system; Differential equations; Generalized chaotic system; Nonlinear coordinate transformation
• Online Access: http://ijain.org/index.php/IJAIN/article/view/113

The paper deals with the developing of the numerical algorithms for transformation of generalized chaotic system into canonical form. Such transformation allows us to simplify control algorithm for chaotic system. These algorithms are defined by using Lie derivatives for output variable and solution of nonlinear equations. Usage of proposed algorithm is one of the ways for discovering of 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.