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

Research output: Contribution to journalJournal article

Published

Journal publication date05/2000
JournalTechnical Physics
Journal number5
Volume45
Number of pages3
Pages633-635
Original languageEnglish

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.

Bibliographic note

First published in Russian. In the transliteration back into English, PVEMcC's initials were corrupted.