The pullback attractor

  • Alexandre N. Carvalho
  • José A. Langa
  • James C. Robinson
Part of the Applied Mathematical Sciences book series (AMS, volume 182)


The global attractor, whose well established definition we recall below, is an object that captures the asymptotic behaviour of autonomous systems. The aim of this chapter is to introduce the ‘pullback attractor’, which seems to be the correct generalisation of this concept for use with non-autonomous processes. We pay particular attention to how this non-autonomous definition relates to the autonomous one.


Stochastic Differential Equation Global Attractor Point Attractor Random Dynamical System Random Attractor 
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Copyright information

© Springer Science+Business Media, LLC 2013

Authors and Affiliations

  • Alexandre N. Carvalho
    • 1
  • José A. Langa
    • 2
  • James C. Robinson
    • 3
  1. 1.Instituto de Ciências Matemáticas e de ComputaçãoUniversidade de São PauloSão CarlosBrazil
  2. 2.Departamento de Ecuaciones Diferenciales y Análisis NuméricoFacultad de MatemáticasSevilleSpain
  3. 3.Mathematics InstituteUniversity of WarwickCoventryUK

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