A stochastic pitchfork bifurcation in a reaction-diffusion equation
نویسندگان
چکیده
منابع مشابه
A stochastic pitchfork bifurcation in a reaction-diffusion equation
First we prove, for m 65, a lower bound on the dimension of the random attractor, which is of the same order in as the upper bound we derived in an earlier paper, and is the same as that obtained in the deterministic case. Then we show, for m = 1, that as passes through ¶ 1 (the rst eigenvalue of the negative Laplacian) from below, the system undergoes a stochastic bifurcation of pitchfor...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
سال: 2001
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2001.0819