@article{AnishchenkoVadivasovaKurthsetal.2004,
  author    = {Anishchenko, Vadim S. and Vadivasova, T. E. and Kurths, J{\"u}rgen and Okrokvertskhov, G. A. and Strelkova, G. I.},
  title     = {Autocorrelation function and spectral linewidth of spiral chaos in a physical experiment},
  issn      = {1063-651X},
  year      = {2004},
  abstract  = {We present results of physical experiments where we measure the autocorrelation function (ACF) and the spectral linewidth of the basic frequency of a spiral chaotic attractor in a generator with inertial nonlinearity both without and in the presence of external noise. It is shown that the ACF of spiral attractors decays according to an exponential law with a decrement which is defined by the phase diffusion coefficient. It is also established that the evolution of the instantaneous phase can be approximated by a Wiener random process},
  language  = {en}
}
@article{AnishchenkoVadivasovaKopeikinetal.2003,
  author    = {Anishchenko, Vadim S. and Vadivasova, T. E. and Kopeikin, A. S. and Strelkova, G. I. and Kurths, J{\"u}rgen},
  title     = {Spectral and correlation analysis of spiral chaos},
  issn      = {0219-4775},
  year      = {2003},
  abstract  = {We study numerically the behavior of the autocorrelation function (ACF) and the power spectrum of spiral attractors without and in the presence of noise. It is shown that the ACF decays exponentially and has two different time scales. The rate of the ACF decrease is defined by the amplitude fluctuations on small time intervals, i.e., when tau < tau(cor), and by the effective diffusion coefficient of the instantantaneous phase on large time intervals. it is also demonstrated that the ACF in the Poincare map also decreases according to the exponential law exp(-lambda(+)k), where lambda(+) is the positive Lyapunov exponent. The obtained results are compared with the theory of fluctuations for the Van der Pol oscillator},
  language  = {en}
}
@article{AnishchenkoVadivasovaKopeikinetal.2001,
  author    = {Anishchenko, Vadim S. and Vadivasova, T. E. and Kopeikin, A. S. and Kurths, J{\"u}rgen and Strelkova, G. I.},
  title     = {Effect of noise on the relaxation to an invariant probability measure of nonhyperbolic chaotic attractors},
  year      = {2001},
  language  = {en}
}