Nonlinear Systems

Nonlinear systems are those in which the relationship between inputs and outputs is not directly proportional. This means small changes in inputs can lead to large and unpredictable changes in outputs. Common examples include weather patterns, ecosystems, and even economics. Unlike linear systems, where outcomes can be easily calculated and predicted, nonlinear systems often involve complex interactions and feedback loops, making them more difficult to analyze. As a result, they can exhibit behaviors like chaos, where tiny variations can significantly alter the outcome, creating challenges in forecasting and control.