Analysis of Chaos of Chen Equation
DOI:
https://doi.org/10.54097/3xqkq885Keywords:
Chaos system; Chen system; stability analysis; sensitive system.Abstract
As a matter of fact, chaos was first discovered by Poincaré. Then, the Edward Lorenz observed by chance the chaotic phenomenon when her predicted the weather. More powerful computers greatly aided chaos theory in recent years. With this in mind, this study analyses the chaos of Chen equations, the stability of Chen system, and the sensitive of parameters based on the staggered methods. The instability of the system is obtained by Routh-Hurwitz criterion. In addition, the numerical solution is obtained by Runge-Kutta method. Then, one draws the Chen attractors. Finally, the sensitive analysis in a new way implies that the solution is sensitive to the initial values, and the sensitivity relationship between the same component to different parameters is linear, but that between the different components to the same parameter is chaotic, and the different component to different parameters is also chaotic. This study is a multi-dimensional and comprehensive analysis of sensitivity analysis.
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