The hype has subsided and now chaos theory is a ubiquitous part of science. Chaos theory, the study of how tiny fluctuations can have tremendous effects within a moving system, emerged in mainstream physics about 30 years ago. The signature example of this line of thinkingthe butterfly effectis that a butterfly flapping its wings in Taipei can affect the weather over Toronto. Chaos theory, or nonlinear dynamics, is a mathematical way of determining the effects of small changes on systems so complex they look random.