Britannica AI Icon

sensitivity to initial conditions

mathematics and mechanics
Also known as: sensitive dependence on initial conditions

Quick Summary

The butterfly effect, a concept within chaos theory, illustrates how minor alterations to a complex system's initial conditions can lead to significantly different outcomes. Meteorologist Edward Lorenz extensively researched this phenomenon in the 1960s, observing that a tiny change in his weather simulation model produced a vastly different result.1

This principle challenges earlier scientific beliefs in absolute predictability, suggesting that even in deterministic systems, small disturbances can lead to unpredictable long-term behavior. While the term "butterfly effect" is often used in popular culture to imply that small actions can control large outcomes, its scientific meaning emphasizes the inherent unpredictability of chaotic systems rather than a direct cause-and-effect manipulation.12

Summary created from Britannica articles using AI. AI can make mistakes, so verify using Britannica articles.

Ask Britannica AI about this topic

Britannica doesn't have a full article on this topic, so we've curated a list of our relevant coverage.