Non-linear methods are a set of mathematical and computational techniques used to analyze and model complex systems that do not exhibit a linear relationship between their input and output. These methods are particularly useful in fields such as physics, biology, economics, and engineering where linear assumptions do not hold. Non-linear methods often involve the use of sophisticated algorithms, such as neural networks, support vector machines, genetic algorithms, and chaos theory, to capture the underlying dynamics of these complex systems. By employing non-linear methods, researchers can uncover patterns, trends, and relationships that may not be apparent using traditional linear techniques.