A well-known Axiom A diffeomorphism in this field of study is the Smale horseshoe.
A well-known Axiom A diffeomorphism in this field of study is the Smale horseshoe. It studies systems with a positive value for the Lyapunov exponent, and those exhibiting period-doubling bifurcations characterized by the Feigenbaum constants. This theory features fractal entities called strange attractors, such as one named after Edward Lorenz, who pioneered this field of math by concluding that the weather is nearly impossible to predict accurately due to its sensitivity to initial conditions. For 10 points, name this theory studying deterministic but seemingly random systems exhibiting the "butterfly effect."
A well-known Axiom A diffeomorphism in this field of study is the Smale horseshoe.
chaos theory or nonlinear dynamical 