@TechReport{chirikov83,
  author =       {Boris V. Chirikov and Dmitrii L. Shepelyansky}, 
  title =        {Statistics of {\Poincare} Recurrences and the
                  Structure of the Stochastic Layer of a Nonlinear
                  Resonance},
  institution =  {Princeton Univ.},
  year =         1983,
  reprint =      {PPPL-TRANS-133},
  number =       {PPPL--TRANS--133},
  month =        feb,
  note =         {20 pp.  Translation of \textcyr{B. V. Chirikov i
                  D. L. Shepelyanksi\U{i}}, \textcyr{Statistika Vozvratov
                  Puankare i Struktura Stokhasticheskogo Sloya
                  Neline\U{i}nogo Rezonansa} (in Russian), Inst.  Nucl.
                  Physics Rept.
                  \HREF{http://www.lpt.irsamc.ups-tlse.fr/~dima/myrefs/my005.pdf}
                  {INP 81--69}, Novosibirsk (April 14, 1981); translated
                  by N. M. Turitzin; edited by C. F. F. Karney.
                  \newblock
                  Proc. 9th International Conf. on Nonlinear
                  Oscillations, Kiev, USSR, Aug. 30--Sept. 6, 1981,
                  edited by Yu. A. Mitropolsky,
                  \HREF{http://www.lpt.irsamc.ups-tlse.fr/~dima/myrefs/my005c.pdf}
                  {Vol. 2, pp. 421--424}, (Naukova Dumka, Kiev 1984)},
  abstract =     {Motion in the stochastic layer around the separatrix
                  of a nonlinear resonance was investigated.  The
                  integral distribution function <i>F</i>(&tau;) of
                  trajectory recurrence times &tau; to the center of the
                  layer was numerically determined.  It was found that
                  the distribution <i>F</i>(&tau;) =
                  <i>A</i>&tau;<sup>&minus;<i>p</i></sup> is a power
                  function, the exponent assuming two different values:
                  for &tau; &le; &tau;<sub>0</sub>, <i>p</i> = 1/2 and
                  for &tau; &gt;&gt; &tau;<sub>0</sub>, <i>p</i> = 3/2
                  (time &tau;<sub>0</sub> is determined by the
                  characteristics for the layer).}
}