Media Summary: Lorenz Example: Sensitive dependence on initial conditions. Red is +1e-12. Magenta is -1e-12. Lyapunov exponents, the quantitative measure of For centuries, physicists believed in the "Clockwork Universe"—the idea that if you knew the exact starting position of everything, ...
Lorenz System Sensitive Dependence On - Detailed Analysis & Overview
Lorenz Example: Sensitive dependence on initial conditions. Red is +1e-12. Magenta is -1e-12. Lyapunov exponents, the quantitative measure of For centuries, physicists believed in the "Clockwork Universe"—the idea that if you knew the exact starting position of everything, ... A major condition for chaotic motion is that the motion must depend heavily on the initial conditions and not repeat. In this video ... Here, 16 starting points that differ from each other on the order of 10^-3 are seen diverging as the number of orbits completed ... 2000 random point (Yello) generated within a sphere of radius 0.001 from the initial condition of the
What happens if you change the initial conditions of a
