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Synchronized Chaos of a Three-Dimensional System with Quadratic Terms
Mathematical Problems in Engineering ( IF 1.430 ) Pub Date : 2020-10-19 , DOI: 10.1155/2020/8813736
Ali Allahem 1
Affiliation  

In this paper, a novel chaotic new three-dimensional system has been studied by Zhang et al. in 2012. In the system, there are three control parameters and three different nonlinear terms which governed equations. Zhang et al. studied elementary (preliminary) dynamic properties of the chaotic new three-dimensional system by means of bifurcation diagram, maximum Lyapunov exponent, phase portraits, dynamics behaviors by changing some parameters etc., using all possible theoretical analysis and numerical simulation. In this paper, we have demonstrated its complete synchronization. The proposed results are verified by numerical simulations.

中文翻译:

具有二次项的三维系统的同步混沌

在本文中,Zhang等人研究了一种新型的混沌新三维系统。在2012年。该系统中有3个控制参数和3个控制方程的非线性项。张等。通过使用所有可能的理论分析和数值模拟,通过分叉图,最大李雅普诺夫指数,相画像,通过更改某些参数的动力学行为等,研究了混沌新三维系统的基本(初步)动力学特性。在本文中,我们展示了其完全同步。数值模拟验证了所提出的结果。
更新日期:2020-10-19
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