👉 Nonlinear dynamics (RN) is a branch of mathematics that studies complex, nonlinear systems whose behavior is highly sensitive to initial conditions, leading to phenomena like chaos and unpredictability. These systems are often modeled using differential equations, which describe how the state of the system evolves over time. RN explores how small changes in initial conditions can result in vastly different outcomes, a property known as sensitivity to initial conditions or the "butterfly effect." Key concepts include attractors, which are states or patterns that a system tends towards over time, and bifurcations, where small changes in parameters lead to qualitative changes in the system's behavior. RN has applications in various fields, including physics, biology, economics, and meteorology, helping to understand and predict the behavior of systems that are inherently nonlinear and dynamic.
