Abstract
The activation dynamics of one-dimensional maps is considered. It is shown that the activation law describing the average time required for attaining a given boundary has the form of the error function (erfc), whereas approximation using the exponential law gives much worse results. In addition, it is demonstrated that linear analysis can be applied to a substantially nonlinear problem.
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References
C. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry, and Natural Sciences (Springer, Heidelberg, 1983; Mir, Moscow, 1986).
R. Graham and T. Tel, Phys. Rev. Lett. 66, 3089 (1991).
P. Grassberger, J. Phys. A 22, 3283 (1989).
P. D. Beale, Phys. Rev. A 40, 3998 (1989); P. Reimann and P. Talkner, Phys. Rev. E 51, 4105 (1995).
I. A. Khovanov, N. A. Khovanova, and P. V. E. McClintock, Phys. Rev. E 67, 051102 (2003).
E. Ott, C. Grebogi, and J. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
S. Boccaletti, C. Grebogi, Y.-C. Lai, et al., Phys. Rep. 329, 103 (2000).
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Translated from Pis’ma v Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 30, No. 10, 2004, pp. 53–60.
Original Russian Text Copyright © 2004 by Khovanov, Dumski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \), Khovanova.
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Khovanov, I.A., Dumskii, D.V. & Khovanova, N.A. The activation law for one-dimensional maps. Tech. Phys. Lett. 30, 422–425 (2004). https://doi.org/10.1134/1.1760874
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DOI: https://doi.org/10.1134/1.1760874