upo                 package:RTisean                 R Documentation

_U_n_s_t_a_b_l_e _p_e_r_i_o_d_i_c _o_r_b_i_t_s

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

     Tools for finding unstable periodic orbits and their stability.

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

     upo(series, m = -1, r = -1, v = -1, p = 1, w = -1, W = -1, a = -1, s = -1, n = -1, l = -1, x = 0, c = 1,pretty=FALSE)

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

  series: a matrix or vector.

       m: embedding dimension.

       r: absolute kernel bandwidth.

       v: same as fraction of standard deviation. 

       p: period of orbit.

       w: minimal separation of trial points.

       W: minimal separation of distinct orbits. 

       a: maximal error of orbit to be plotted.  

       s: initial separation for stability.

       n: number of trials. 

       l: number of values to be read. 

       x: number of values to be skipped. 

       c: column to be read. 

  pretty: clean output up. 

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

     The parameter 'pretty' must be set to 'FALSE' if the output of
     'upo' is meant to be post-processed by 'upoembed'.

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

     A list of three-column matrices, containing respectively the order
     of period, the level of accuracy and the most unstable orbit
     eigenvalue.

_N_o_t_e:

     This actually gives erroneous results

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

     'upoembed'

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

     ## Not run: 

     dat <- henon(1000)
     noise <- rnorm(1000,0,0.1*sd(dat[,2]))
     dat[,2] <- dat[,2]+ noise
     unstperorbit <- upo(dat,m=2, v=0.1, n=70, p=6,pretty=T)

     ## End(Not run)

