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

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Bashkirtseva I. A., Ryashko L. B., Tsvetkov I. N. Stochastic sensitivity of equilibrium and cycles for 1D discrete maps. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 6, pp. 74-85. DOI: 10.18500/0869-6632-2009-17-6-74-85

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Language: 
Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
531.36
DOI: 
10.18500/0869-6632-2009-17-6-74-85

Stochastic sensitivity of equilibrium and cycles for 1D discrete maps

Autors: 
Bashkirtseva Irina Adolfovna, Ural Federal University named after the first President of Russia B.N.Yeltsin
Ryashko Lev Borisovich, Ural Federal University named after the first President of Russia B.N.Yeltsin
Tsvetkov Ivan Nikolaevich, Ural Federal University named after the first President of Russia B.N.Yeltsin
Abstract: 

The response problem of equilibrium and cycles for stochastically forced Verhulst population model is considered. Theoretical and empirical approaches are used for stochastically sensitivity analysis. The theoretical approach is based on the firth approximation method and the empirical approach is based on direct numerical simulation. The correspondence between the two approaches for Verhulst population model is demonstrated. The increase of discrete system sensitivity to external noise in the period­doubling bifurcation zone under transition to chaos is shown.

Key words: 
Verhulst model
cycles
stochastic sensitivity
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Received: 
04.02.2008
Accepted: 
06.04.2009
Published: 
31.12.2009
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