Abstract
Since Lorenz published Deterministic Nonperiodic Flow in 1963, Lorenz attractors and their equations have occupied an important position in the fields of mathematics, physics, meteorology and so on. Lorenz attractors reveal the aperiodic behavior and sensitivity to initial conditions in deterministic systems, which have attracted great attention in the scientific community. This paper deeply analyzes its characteristics, formation mechanism and performance in chaotic systems, and shows that it produces aperiodic behavior patterns in deterministic systems and is extremely sensitive to small changes in initial conditions, providing a new perspective for understanding the complexity and diversity of nature. Lorenz attractors are widely used in chaos theory, providing tools for chaos research and ideas for solving practical problems. It has shown its application potential in the field of meteorological prediction. It is expected to stimulate researchers interest in Lorenz attractors and chaos phenomena, promote the in-depth application and development of chaos theory in more fields, continue to reveal the mysteries of nature, and lead a new chapter in scientific exploration.
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