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@article{Doan:2015:10.3934/dcdsb.2015.20.875,
author = {Doan, TS and Rasmussen, M and Kloeden, PE},
doi = {10.3934/dcdsb.2015.20.875},
journal = {Discrete and Continuous Dynamical Systems - Series B},
pages = {875--887},
title = {The mean-square dichotomy spectrum and a bifurcation to a mean-square attractor},
url = {http://dx.doi.org/10.3934/dcdsb.2015.20.875},
volume = {20},
year = {2015}
}

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TY  - JOUR
AB  - The dichotomy spectrum is introduced for linear mean-square random dynamical systems, and it is shown that for finite-dimensional mean-field stochastic differential equations, the dichotomy spectrum consists of finitely many compact intervals. It is then demonstrated that a change in the sign of the dichotomy spectrum is associated with a bifurcation from a trivial to a non-trivial mean-square random attractor.
AU  - Doan,TS
AU  - Rasmussen,M
AU  - Kloeden,PE
DO  - 10.3934/dcdsb.2015.20.875
EP  - 887
PY  - 2015///
SN  - 1531-3492
SP  - 875
TI  - The mean-square dichotomy spectrum and a bifurcation to a mean-square attractor
T2  - Discrete and Continuous Dynamical Systems - Series B
UR  - http://dx.doi.org/10.3934/dcdsb.2015.20.875
UR  - http://hdl.handle.net/10044/1/25623
VL  - 20
ER  -

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