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Orbital stability index for stochastic systems

 

作者: G.N. Milstein,  

 

期刊: Stochastic Analysis and Applications  （Taylor Available online 2000）
卷期: Volume 18, issue 5  

页码: 777-809

 

ISSN:0736-2994

 

年代: 2000

 

DOI:10.1080/07362990008809697

 

出版商: Marcel Dekker, Inc.

 

关键词: Stochastic Stability;Lyapunov Exponent;Moment Lyapunov Exoibebts;Stability Index

 

数据来源: Taylor

 

摘要:

The Known concepts of Lyapunov exponent, moment Lyapunov exponents, and stability index for stationary points of stochastic systems are carried over for invariant orbits with nonvanishing diffusion. The obtained geneal results are applied to investiating stochastic stability and stabilization of orbits on the plane. These questions are considered under small diffusion as well.

 

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