ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


Cite this article as:

Bashkirceva I. A., Rjashko L. B., Fedotov S. P., Cvetkov I. N. Backward stochastic bifurcations of the henon map. Izvestiya VUZ. Applied Nonlinear Dynamics, 2011, vol. 19, iss. 2, pp. 31-42. DOI: https://doi.org/10.18500/0869-6632-2011-19-2-31-42

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Russian

Backward stochastic bifurcations of the henon map

Abstract: 

We study the stochastically forced limit cycles of discrete dynamical systems in a period­doubling bifurcation zone. A phenomenon of a decreasing of the stochastic cycle multiplicity with a noise intensity growth is investigated. We call it by a backward stochastic bifurcation. In this paper, for such a bifurcation analysis we suggest a stochastic sensitivity function technique. The constructive possibilities of this method are demonstrated for analysis of the two­dimensional Henon model.  ?

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DOI: 
10.18500/0869-6632-2011-19-2-31-42
References: 

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