Yu. L. Bolotin, S. V. Slipushenko, A. V. Tur, V. V. Yanovsky, “Targeting with external noise”, Nelin. Dinam., 2010, Volume 6, Number 4,Pages <nobr>719

This article is cited in 1 paper

Targeting with external noise

Yu. L. Bolotin^a, S. V. Slipushenko^b, A. V. Tur^c, V. V. Yanovsky^b

^a National Science Centre Kharkov Institute of Physics and Technology
^b Institute for Single Crystals, National Academy of Sciences of Ukraine
^c Center D'tude Spatiale Des Rayonnements, C.N.R.S.-U.P.S.

Abstract: An influence of a low noise on the properties of the Hénon map chaotic modes is studied. The strong chaos and the intermittency mode are considered. We find the mechanisms of a significant influence of the low noise on the chaotic mode properties. The conditions which have impact on the Poincaré recurrences time are defined. We suggest the targeting stochastic scenario for taking the Hénon map under control. The physics and the efficiency of the proposed targeting method are considered.

Keywords: dissipative dynamical systems, Hénon map, targeting, Poincaré recurrences, external noise.

UDC: 530.182

MSC: 37B20

Received: 25.08.2010