Systems are generally tested for this property by calculating the largest Lyapunov exponent and seeing if it is positive. One model exhibits this property as its parameter passes 3.57; the ratio of its period-doubling intervals approaches the (*) Feigenbaum constant. Systems exhibiting this phenomenon include the nonlinear damping present in the van der Pol oscillator, as well as the double pendulum and the logistic map. This theory was largely inspired by weather simulations performed by Edward Lorenz. For 10 points, name this theory that studies systems that are highly sensitive to initial c
Systems are generally tested for this property by calculating the largest Lyapunov exponent and seeing if it is positive. One model exhibits this property as its parameter passes 3.57; the ratio of its period-doubling intervals approaches the (*) Feigenbaum constant. Systems exhibiting this phenomenon include the nonlinear damping present in the van der Pol oscillator, as well as the double pendulum and the logistic map. This theory was largely inspired by weather simulations performed by Edward Lorenz. For 10 points, name this theory that studies systems that are highly sensitive to initial conditions.
Systems are generally tested for this property by calculating the largest Lyapunov exponent and seeing if it is positive.
{chaos} theory