ADDITIVE NOISE TURNS A HYPERBOLIC FIXED-POINT INTO A STATIONARY SOLUTION

被引：0

作者：

ARNOLD, L

BOXLER, P

机构：

来源：

LECTURE NOTES IN MATHEMATICS | 1991年 / 1486卷

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D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose (*) x = A(theta(t)omega)x is hyperbolic, i.e. all of its Lyapunov exponents are different from zero. Then x = A(theta(t)omega)x + f(theta(t)omega), x) + b(theta(t)omega) with f(omega,.) locally Lipschitz and f (omega, 0) = 0 has a (unique) stationary solution in a neighborhood of x = 0 provided f and b are 'small'. 'Smallness' is being described in terms of a random norm measuring the non-uniformity of the hyperbolicity of (*).

引用

页码：159 / 164

页数：6

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