ISSN 0869-6632 (Print)
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Ryashko L. B., Stihin P. V. Noise-induced backward bifurcations in stochastic Roessler system. Izvestiya VUZ. Applied Nonlinear Dynamics, 2005, vol. 13, iss. 4, pp. 20-36. DOI: 10.18500/0869-6632-2005-13-4-20-36

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Noise-induced backward bifurcations in stochastic Roessler system

Ryashko Lev Borisovich, Ural Federal University named after the first President of Russia B.N.Yeltsin
Stihin Pavel Viktorovich, Ural Federal University named after the first President of Russia B.N.Yeltsin

Noise essentially influences the behavior of deterministic cycles of dynamical systems. Backward bifurcations of stochastic cycles for nonlinear Roessler model are investigated. Two approaches are demonstrated. In empirical approach the distribution densities of intersection points in intersecting planes are used. Theoretical analysis is based on stochastic sensitivity functions. This approach allows to achieve rather simple approximation of distribution densities in planes. Вifurcational values for noise intensities are found.

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