jacobianmatrix

  he power method will be applied to the jacobian matrix of the 2-D henon map to approximate the first Lyapunov exponent by creating a graph of ln|yn| vs. n, where n is the number of iterations of the power method and yn = 1/n*ln|DG^n(xo)*yo|. The slope will be an approximation to the largest Lyapunov exponent.(he power method will be applied to the jacob ian matrix of the 2-D map to approximate henon th e first Lyapunov exponent by creating a graph of ln | yn | vs. n, where n is the number of iterations of the power m ethod and yn = a/n* ln | DG ^ n (xo)* yo |. The slope w ill be an approximation to the largest Lyapunov exponent.)