Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/27415
Title: Noise-induced chaos and backward stochastic bifurcations in the lorenz model
Authors: Bashkirtseva, I.
Ryashko, L.
Stikhin, P.
Issue Date: 2013
Citation: Bashkirtseva I. Noise-induced chaos and backward stochastic bifurcations in the lorenz model / I. Bashkirtseva, L. Ryashko, P. Stikhin // International Journal of Bifurcation and Chaos. — 2013. — Vol. 23. — № 5.
Abstract: We study the phenomena of stochastic D- and P-bifurcations of randomly forced limit cycles for the Lorenz model. As noise intensity increases, regular multiple limit cycles of this model in a period-doubling bifurcations zone are deformed to be stochastic attractors that look chaotic (D-bifurcation) and their multiplicity is reduced (P-bifurcation). In this paper for the comparative investigation of these bifurcations, the analysis of Lyapunov exponents and stochastic sensitivity function technique are used. A probabilistic mechanism of backward stochastic bifurcations for cycles of high multiplicity is analyzed in detail. We show that for a limit cycle with multiplicity two and higher, a threshold value of the noise intensity which marks the onset of chaos agrees with the first backward stochastic bifurcation. © 2013 World Scientific Publishing Company.
Keywords: BACKWARD STOCHASTIC BIFURCATION
LORENZ MODEL
NOISE-INDUCED CHAOS
STOCHASTIC SENSITIVITY FUNCTION
LORENZ MODEL
LYAPUNOV EXPONENT
MULTIPLE LIMIT CYCLES
NOISE INTENSITIES
NOISE-INDUCED CHAOS
PERIOD DOUBLING BIFURCATION
STOCHASTIC BIFURCATION
STOCHASTIC SENSITIVITY FUNCTIONS
BIFURCATION (MATHEMATICS)
DELTA SIGMA MODULATION
LYAPUNOV METHODS
STOCHASTIC SYSTEMS
STOCHASTIC MODELS
URI: http://hdl.handle.net/10995/27415
SCOPUS ID: 84878937608
WOS ID: 000320059800020
PURE ID: 912936
ISSN: 0218-1274
DOI: 10.1142/S0218127413500922
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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