Nonlinear Phenomena in Complex Systems, 2002, Vol.5, No.2, pp.181-187

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2002, Vol.5, No.2, pp.181-187

Scaling in the Presence of the External Noise in Discrete Systems with Period-Doublings.
J.V. Kapustina and A.P. Kuznetsov

Fundamental scaling properties in the absence and in the presence of noise for different maps which exhibit transition to chaos through period-doubling cascade are considered. Numerical method of determination of noise constants for one-dimensional and two-dimensional maps has been presented which allows to illustrate scaling properties under random noise influence.
Key words: chaos, scaling, noise, period-doubling cascade

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