Nonautonomous and Random Attractors

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• 作者：Hans Crauel ; Peter E. Kloeden
• 关键词：Skew product flow ; 2 ; parameter semi ; group ; Pullback attractor ; Forward attractor ; Random dynamical system ; Weak attractor ; Mean ; square random dynamical system ; Mean ; field stochastic differential equations ; 34D45 ; 35B41 ; 37 ; 02 ; 37B55 ; 37C70 ; 37H99 ; 37L30 ; 37L55 ; 60H10 ; 60H15
• 刊名：Jahresbericht der deutschen Mathematiker-Vereinigung
• 出版年：2015
• 出版时间：September 2015
• 年：2015
• 卷：117
• 期：3
• 页码：173-206
• 全文大小：990 KB
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• 作者单位：Hans Crauel (1)
  Peter E. Kloeden (1) (2)
  
  1. Institut f眉r Mathematik, Goethe-Universit盲t, Frankfurt am Main, Germany
  2. School of Mathematics and Statistics, Huazhong University of Science & Technology, Wuhan, China
  
• 刊物类别：Mathematics and Statistics
• 出版者：Vieweg+Teubner Verlag
• ISSN：1869-7135

文摘

The theories of nonautonomous and random dynamical systems have undergone extensive, often parallel, developments in the past two decades. In particular, new concepts of nonautonomous and random attractors have been introduced. These consist of families of sets that are mapped onto each other as time evolves and have two forms: a forward attractor based on information about the system in the future and a pullback attractor that uses information about the past of the system. Both reduce to the usual attractor consisting of a single set in the autonomous case.