Invariant densities for dynamical systems with random switching

被引：59

作者：

Bakhtin, Yuri ^{[1
]}

Hurth, Tobias ^{[1
]}

机构：

[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

NONLINEARITY | 2012年 / 25卷 / 10期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1088/0951-7715/25/10/2937

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonautonomous ordinary differential equation on a smooth manifold, with right-hand side that randomly switches between the elements of a finite family of smooth vector fields. For the resulting random dynamical system, we show that Hormander type hypoellipticity conditions are sufficient for uniqueness and absolute continuity of an invariant measure.

引用

页码：2937 / 2952

页数：16

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