non-linear analysis

Non-linear analysis is a method used to study systems where outputs are not directly proportional to inputs. Unlike linear systems, where doubling the input results in a doubling of the output, non-linear systems can behave unpredictably, with outputs that grow faster, slower, or change direction based on the input. This approach helps engineers and scientists understand complex behaviors such as sudden shifts, oscillations, or chaotic patterns in structures, materials, or dynamic processes, enabling safer and more accurate design by capturing real-world complexities beyond simple linear assumptions.