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

Physics

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https://doi.org/10.1134/1.1259690
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Sensitivity to initial conditions and Lyapunov exponent of a quasiperiodic system. / Khovanov, I. A.; Khovanova, N. A.; Anishchenko, V. S. et al.
In: Technical Physics, Vol. 45, No. 5, 05.2000, p. 633-635.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Author

Khovanov, I. A. ; Khovanova, N. A. ; Anishchenko, V. S. et al. / Sensitivity to initial conditions and Lyapunov exponent of a quasiperiodic system. In: Technical Physics. 2000 ; Vol. 45, No. 5. pp. 633-635.

Bibtex

@article{7d1e5bd81b8b4189bd198478469bf8d1,

title = "Sensitivity to initial conditions and Lyapunov exponent of a quasiperiodic system.",

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.",

author = "Khovanov, {I. A.} and Khovanova, {N. A.} and Anishchenko, {V. S.} and McClintock, {Peter V. E.}",

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

year = "2000",

month = may,

doi = "10.1134/1.1259690",

language = "English",

volume = "45",

pages = "633--635",

journal = "Technical Physics",

issn = "1063-7842",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "5",

}

RIS

TY - JOUR

T1 - Sensitivity to initial conditions and Lyapunov exponent of a quasiperiodic system.

AU - Khovanov, I. A.

AU - Khovanova, N. A.

AU - Anishchenko, V. S.

AU - McClintock, Peter V. E.

N1 - First published in Russian. In the transliteration back into English, PVEMcC's initials were corrupted.

PY - 2000/5

Y1 - 2000/5

N2 - 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.

AB - 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.

U2 - 10.1134/1.1259690

DO - 10.1134/1.1259690

M3 - Journal article

VL - 45

SP - 633

EP - 635

JO - Technical Physics

JF - Technical Physics

SN - 1063-7842

IS - 5

ER -

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