The challenge of the non-linear

Summary form only given. The author recalls his early exposures to nonlinearity and chaotic systems. He soon realized that very little was known or understood about nonlinearity in general. It also came as a bit of a shock to realize that there were no generalised mathematical tools or methodologies to help. In order to illustrate the importance of this topic and the potential for error, and exploitation, he draws upon a (near) lifetimes engineering and scientific experience. To illustrate specific points of importance his presentationis supported with animations, models and video clips designed to help convey the vast scope and potential riches on offer if we can conquer this fundamental bastion of complexity. The selected examples will span engineering, science, management and politics to drive home the potential rewards and, sometimes, frightening consequences of getting it wrong.