👉 Behavioral math, often associated with the field of dynamical systems and chaos theory, studies how small changes in initial conditions can lead to vastly different outcomes over time, a phenomenon famously known as the "butterfly effect." This field uses mathematical models, such as differential equations and discrete maps, to describe the evolution of systems over time. These models capture the interactions within a system and predict its future states based on current conditions, but they often reveal sensitive dependence on initial conditions, making long-term predictions challenging. By analyzing these behaviors, researchers can understand complex systems in areas like weather forecasting, population dynamics, and economics, where small perturbations can have significant impacts.