av_d2                package:RTisean                R Documentation

_S_m_o_o_t_h_i_n_g _c_o_r_r_e_l_a_t_i_o_n _s_u_m _d_a_t_a

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

     Takes the output of either 'd2' or 'c1' and smoothes it by
     arithmetically averaging over a given interval.

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

     av_d2(lst, m = 1, M, a = 1, E = FALSE)

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

     lst: The output of 'd2', 'c1'.

       m: minimal dimension to print.

       M: maximal dimension to print.

       a: smooth over an interval of 2'a'+1 points.

       E: show the length scales in rescaled units.

_D_e_t_a_i_l_s:

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

     A list of as many a matrices as the number of dimensions, each
     containing the epsilon values in the first column and the smoothed
     correlation sums in the second column.

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

     'c2d', 'c2g', 'c2t' .

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

     ## Not run: 

     dat <- henon(l=10000,x=1000)
     d2output <- d2(dat)
     cordim <- d2output$.d2
     smoothed <- av_d2(cordim)
     plot(smoothed[[1]],t="l",ylim=c(0,5.5),col=2,xlab="Epsilon",
     ylab=paste("Smoothed", expression(D[2](m,epsilon))),log="x", main="Smoothed 
     Correlation Dimension Plot")
       for (a in 2:10) points(smoothed[[a]],t="l",col=2)

     ## End(Not run)

