Description: A nonlinear time series is a set of data collected over time that exhibits patterns that cannot be adequately described by a simple linear relationship. This means that changes in the data do not follow a constant trend but may display complex behaviors, such as cycles, seasonal trends, or irregularities that require more sophisticated analysis methods. Nonlinear time series are common in various disciplines, such as economics, meteorology, and biology, where the observed phenomena may be influenced by multiple interrelated factors. To analyze these series, advanced techniques such as smoothing models, machine learning algorithms, and decomposition methods are used, which allow capturing the complexity of the data. Identifying nonlinear patterns is crucial for making accurate forecasts and informed decisions based on the evolution of data over time.