Control of New 3D Chaotic System

Abstract

ABSTRACT

The Application of Some Linear Feedback Control Strategies on 3D Chaotic System

“…For each of the four equilibrium points P2, P3, P4 and P5, the results show that λ 1 is a negative , λ 2 and λ 3 become a pair of complex conjugate eigenvalues with not negative real parts. all, equilibrium points P2, P3, P4 and P5 are all saddle-focus points; so, these equilibrium points are all unstable [2] and [9].…”

“…The three-dimensional autonomous chaotic system with seven terms and three nonlinear described by the following differential equations [2] and [9]:…”

“…This new attractors proposed can be also realized with an electronic circuit and have great potential for communication and electronics [9]. Also In 2014 Ali R. and Ziabari, M. T. introduced same as chaotic system and controlled by generalized backstepping method [2].…”

“…In recent years, controlling and synchronization has become of interesting topics more and more to engineering. Therefore, I suggest different controllers to stabilize the chaotic systems [1] and [2] and [6]. The term feedback refers to having two or more dynamical systems strongly coupled with each other so that if one was affected by these systems in response to external stimulation, either over time or forcing effect sometimes, simply we can say that in this situation it's difficult to control one of these; The first system affected by the second system also second system is influenced by the first system, so we must be use feedback system.…”