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• W2107002255 abstract "The effect of additive white noise on a model for bursting behavior in large aspect-ratio binary fluid convection is considered. Such bursts are present in systems with nearly square symmetry and are the result of heteroclinic cycles involving infinite amplitude states created when the square symmetry is broken. A combination of numerical results and analytical arguments shows how even a very small amount of noise can have a very large effect on the amplitudes of successive bursts. Large enough noise can also affect the physical manifestations of the bursts. Finally, it is shown that related bursts may occur when white noise is added to the normal form equations for the Hopf bifurcation with exact square symmetry." @default.
• W2107002255 created "2016-06-24" @default.
• W2107002255 creator A5077998932 @default.
• W2107002255 date "2001-06-01" @default.
• W2107002255 modified "2023-09-26" @default.
• W2107002255 title "Effect of noise on excursions to and back from infinity" @default.
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• W2107002255 doi "https://doi.org/10.1016/s0375-9601(01)00292-4" @default.
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