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Sensitivity to initial conditions and lyapunov exponent of a quasiperiodic system

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Abstract

The dynamics of a quasiperiodic map is analyzed both in the presence and in the absence of weak noise. It is shown that, in the presence of weak noise, a strange chaotic attractor with a negative Lyapunov exponent and sensitive dependence of trajectories on the initial conditions can exist in the system. This means that the types of motion of a fluctuating system cannot be classified only by the sign of the leading Lyapunov exponent.

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Authors and Affiliations

  1. Chernyshevsky State University, ul. Astrakhanskaya 83, Saratov, 410026, Russia

    I. A. Khovanov, N. A. Khovanova, V. S. Anishchenko & P. W. E. McClintock

Authors
  1. I. A. Khovanov
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  2. N. A. Khovanova
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  3. V. S. Anishchenko
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  4. P. W. E. McClintock
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__________

Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 70, No. 5, 2000, pp. 112–114.

Original Russian Text Copyright © 2000 by Khovanov, Khovanova, Anishchenko, McClintock.

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Khovanov, I.A., Khovanova, N.A., Anishchenko, V.S. et al. Sensitivity to initial conditions and lyapunov exponent of a quasiperiodic system. Tech. Phys. 45, 633–635 (2000). https://doi.org/10.1134/1.1259690

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  • DOI: https://doi.org/10.1134/1.1259690

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