lorenz                package:fractal                R Documentation

_C_h_a_o_t_i_c _r_e_s_p_o_n_s_e _o_f _t_h_e _L_o_r_e_n_z _s_y_s_t_e_m

_D_e_s_c_r_i_p_t_i_o_n:

     The Lorenz system is defined by the third order set of ordinary
     differential equations:

                       dx/dt = sigma( y - x ),


                         dy/dt = rx - y - xz,


                           dz/dt = -bz + xy

     .

     If the parameter set is sigma=10, r=28, b=8/3, then the system
     response is chaotic. The Lorenz is one the hallmark examples used
     in illustrating nonlinear deterministic chaotic motion.

_S_e_e _A_l_s_o:

     'beamchaos', 'ecgrr', 'eegduke', 'pd5si'.

_E_x_a_m_p_l_e_s:

     plot(lorenz[,1], lorenz[,3], pch=".", col="blue")

