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In 1963, Edward Norton Lorenz, the American meteorologist, proposed the chaos theory. Nonlinear systems exhibit diversity and multiscale characteristics, while chaos theory explains how deterministic systems can produce random results. These theories offer a new perspective to understand and describe complex systems and have found wide application in various fields such as physics, biology, meteorology, and economics. With advancements in computer technology, researches in chaos and fractals have also made significant progresses. This paper uses a literature review approach to provide a summary and synthesis of existing researches and literature. It briefly introduces the development of chaos and fractals and elaborates on their applications in daily life. It also analyzes the limitations of these theories and the challenges they are facing. By reviewing the core concepts of chaos and fractals such as mathematical principles and specific practices in different disciplines, this paper aims to enhance readers' understanding of the behavior of complex systems and to anticipate future development trends in chaos and fractals. This will help further promote the implementation and innovation of these theories in scientific research and practical applications, providing new ideas for theoretical development.
Li Che (Tue,) studied this question.