Linear vs Nonlinear Systems

Linear systems have outputs that change proportionally with inputs; if you double the input, the output also doubles. They follow predictable patterns and can be represented by straight lines. Nonlinear systems, on the other hand, involve outputs that change in unpredictable ways, often leading to complex behaviors like spirals or chaos. In nonlinear systems, small changes in input can result in significant variations in output. Examples include weather patterns and population dynamics, where interactions between elements can lead to unexpected outcomes. Understanding the difference helps in various fields, from engineering to economics to environmental science.