c2g                 package:RTisean                 R Documentation

_G_a_u_s_s_i_a_n _k_e_r_n_e_l _c_o_r_r_e_l_a_t_i_o_n _i_n_t_e_g_r_a_l

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

     Reads the correlation integral, output of  'd2' and computes the
     Gaussian kernel correlation integral.

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

     c2g(lst)

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

     lst: the output of  or 'd2'.  

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

     A list of as many matrices as the number of dimensions of 'lst'.
     Each matrix contains the values of epsilon in the first column,
     the Gaussian kernel correlation integral in the second column and
     its logarithmic derivative in the third columns.

_R_e_f_e_r_e_n_c_e_s:

     J. M. Ghez and S. Vaienti, Integrated wavelets on fractal sets I: 
     The correlation dimension, Nonlinearity 5, 777 (1992).

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

     'c2d', 'c2t'

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

     ## Not run: 
      
     dat <- henon(10000)
     d2output <- d2(dat)
     corsum <- d2output$.c2
     corint <- c2g(corsum)
     plot(corint[[1]],t="l",ylim=c(0,1),col=2,xlab="Epsilon",
     ylab="Correlation Integral",log="x", main="Correlation Integral Plot, embedding dims = (1,...,10)")

     for (a in 2:10) 
             lines(corint[[a]],col=2)

     ## End(Not run)

