The search result changed since you submitted your search request. Documents might be displayed in a different sort order.
  • search hit 6 of 294
Back to Result List

Spectral and correlation analysis of spiral chaos

  • 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

Export metadata

Additional Services

Search Google Scholar Statistics
Metadaten
Author details:Vadim S. Anishchenko, T. E. Vadivasova, A. S. Kopeikin, G. I. Strelkova, Jürgen KurthsORCiDGND
ISSN:0219-4775
Publication type:Article
Language:English
Year of first publication:2003
Publication year:2003
Release date:2017/03/24
Source:Fluctuation and Noise Letters. - ISSN 0219-4775. - 3 (2003), 2, S. L213 - L221
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer review:Referiert
Institution name at the time of the publication:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik
Accept ✔
This website uses technically necessary session cookies. By continuing to use the website, you agree to this. You can find our privacy policy here.