SCALING BEHAVIOR AT THE ONSET OF CHAOS IN THE LOGISTIC MAP DRIVEN BY COLORED NOISE

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The effects of additive colored noise near the onset of chaos have been studied for one-dimensional logistic maps. The scaling form of the Lyapunov exponent lambda near the transition point was determined in terms of the noise amplitude sigma and the correlation time tau, and the critical exponent alpha associated with tau was evaluated. Analysis shows that a certain approximation, which we call the effective white,noise approximation, followed by the renormalization group treatment, leads to essentially the same structure of the scaling function as that determined by the numerical method.
Publisher
ELSEVIER SCIENCE BV
Issue Date
1995-09
Language
English
Article Type
Article
Citation

PHYSICS LETTERS A, v.205, no.2-3, pp.173 - 178

ISSN
0375-9601
DOI
10.1016/0375-9601(95)00574-M
URI
http://hdl.handle.net/10203/173755
Appears in Collection
EE-Journal Papers(저널논문)CH-Journal Papers(저널논문)
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