The persistence of synchronization under environmental noise

被引：42

作者：

Caraballo, T

Kloeden, PE

机构：

[1] Univ Sevilla, Dept Ecuac Diferenciales & Anal Numer, E-41080 Seville, Spain

[2] Univ Frankfurt, Fachbereich Math, D-60054 Frankfurt, Germany

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2005年 / 461卷 / 2059期

关键词：

synchronization; additive noise; random attractor; stationary stochastic process; one-sided Lipschitz dissipative condition;

D O I：

10.1098/rspa.2005.1484

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

It is shown that the synchronization of dissipative systems persists when they are disturbed by additive noise, no matter how large the intensity of the noise, provided asymptotically stable stationary-stochastic solutions are used instead of asymptotically stable equilibria.

引用

页码：2257 / 2267

页数：11

共 8 条

[1]

AFRAIMOVICH VS, 1998, INT C DIFF EQ LISB 1, P3

[2] Upper semicontinuity of attractors and synchronization [J].