BACKWARD STOCHASTIC BIFURCATIONS OF THE HENON MAP
Cite this article as:
Bashkirtseva I. A., Ryashko L. B., Fedotov S. P., Tsvetkov . 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
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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BibTeX
author = {I. A. Bashkirtseva and L. B. Ryashko and S. P. Fedotov and I. N. Tsvetkov },
title = {BACKWARD STOCHASTIC BIFURCATIONS OF THE HENON MAP},
year = {2011},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {19},number = {2},
url = {https://old-andjournal.sgu.ru/en/articles/backward-stochastic-bifurcations-of-the-henon-map},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2011-19-2-31-42},pages = {31--42},issn = {0869-6632},
keywords = {bifurcations,discrete stochastic systems,Henon model,stochastic sensitivity. ́},
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. ́ }}