henon                package:fractal                R Documentation

_H_e_n_o_n _m_a_p

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

     Calculates the Henon map states using the specifed parameter set.
     The Henon map is defined as

                 x[n] = a - x[n - 1]^2 + b * y[n - 1]


                           y[n] = x[n - 1].


     A parameter set of a=1.4 and b=0.3 is known to produce a
     deterministic chaotic response.

_U_s_a_g_e:

     henon(start=rnorm(2), a=1.4, b=0.3, n.sample=2000, n.transient=10)

_A_r_g_u_m_e_n_t_s:

   start: a two-element vector of numeric values denoting the starting
          values for the X and Y Henon coordinates, respectively.

       a: the *a* parameter. Default: '1.4'.

       b: the *b* parameter. Default: '0.3'.

n.sample: an integer denoting the number of iterates to create beyond
          that specified by 'n.transient'. Default: '2000'.

n.transient: an integer denoting the number of transient points. These
          transients are removed from the output. Default: '10'.

_V_a_l_u_e:

     a list of vectors named 'x' and 'y' corresponding to the X- and Y
     states of the Henon map, respectively.

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

     'lorenz', 'lorenz.ode'.

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

     plot(henon(),pch=".",cex=0.1)

