Sensitivity to initial conditions and Lyapunov exponent of a quasiperiodic system.

Khovanov, I. A. and Khovanova, N. A. and Anishchenko, V. S. and McClintock, Peter V. E. (2000) Sensitivity to initial conditions and Lyapunov exponent of a quasiperiodic system. Technical Physics, 45 (5). pp. 633-635. ISSN 1063-7842

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Abstract

The dynamics of a quasiperiodic map is analysed 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 on initial conditions can exist in the system. This means that the type of motion of a fluctuating system cannot be classified only by the sign of the leading Lyapunov exponent.

Item Type:
Journal Article
Journal or Publication Title:
Technical Physics
Additional Information:
First published in Russian. In the transliteration back into English, PVEMcC's initials were corrupted.
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qc
Subjects:
ID Code:
31911
Deposited On:
08 Mar 2010 11:35
Refereed?:
Yes
Published?:
Published
Last Modified:
01 Jan 2020 06:51