Dynamical behaviors, control and synchronization of a new chaotic model with complex variables and cubic nonlinear terms

被引：24

作者：

Mahmoud, Emad E. ^{[1
,2
]}

Al-Adwani, Madeha A. ^{[2
]}

机构：

[1] Sohag Univ, Fac Sci, Dept Math, Sohag 82524, Egypt

[2] Taif Univ, Fac Sci, Dept Math, At Taif, Saudi Arabia

来源：

RESULTS IN PHYSICS | 2017年 / 7卷

关键词：

Chaotic; Control; Synchronization; Lyapunov stability; Complex; LAG SYNCHRONIZATION; ACTIVE CONTROL; SYSTEMS; EQUATIONS;

D O I：

10.1016/j.rinp.2017.02.039

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A novel chaotic model with complex variables and cubic non-linear terms was proposed. The new system is a six dimensional continuous real autonomous chaotic system. The characteristics of this system containing invariance, dissipation, equilibria and their stability, Lyapunov exponents, Lyapunov dimension, bifurcation diagrams and chaotic achievement are studied. Converting and turning the system chaotic behavior to its unstable trivial fixed point via the Lyapunov stability theorem. An approach proposed to analyze the system chaos synchronization. Analytical expressions are derived for control functions. The chaos synchronization results were employed to develop a simple application in secure communication. Numerical effects computed to experiment the control forces scientific expressions gravity and to show the chaos synchronization of a chaotic system. (C) 2017 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license

引用

页码：1346 / 1356

页数：11

共 30 条

[1] Analytical and Numerical Study of the Projective Synchronization of the Chaotic Complex Nonlinear Systems with Uncertain Parameters and Its Applications in Secure Communication [J].