Analysis of the Principle and Phenomena of Butterfly Effects

Abstract

As a matter of fact, the butterfly effect refers to the phenomenon that small initial conditions can lead to greatly different output results in chaotic systems, which plays an important role in nonlinear dynamics. In recent years, various fields have faced the issues of the butterfly effects, the numerical way to analyze the chaos is crucial to investigate. The purpose of this study is to reveal the internal law of the butterfly effect and its significant influence on the stability of the system through the in-depth analysis of the principle and phenomenon of the butterfly effect. First of all, this paper will introduce the origin of the butterfly effect and related theoretical explanations, and on this basis, put forward a specific case. The significance of this study is to remind people of the importance of small factors in influencing the whole system, and to provide theoretical support for future model building and decision-making.