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2009, Volume 8, Issue 3: 803-813. Doi: 10.3934/cpaa.2009.8.803
This issue Previous Article Equivalence of invariant measures and stationary statistical solutions for the autonomous globally modified Navier-Stokes equations Next Article Global well-posedness and non-linear stability of periodic traveling waves for a Schrödinger-Benjamin-Ono system

Exponential attractors for second order lattice dynamical systems

  • 1.

    Department of Mathematics, University of Jordan, Amman 11942

Received:  April 30, 2008
Revised:  October 31, 2008
Published:  April 2009
Abstract Related Papers Cited by
    Abstract
  • In [3], we introduced for the first time the study of exponential attractors for lattice dynamical systems, where a first order system has been investigated. Here we shall examine the existence of an exponential attractor for the solution semigroup of a second order lattice dynamical system acting on a closed bounded positively invariant set in the Hilbert space $l^2\times l^2$.
    Mathematics Subject Classification: 37L30, 37L60.

    Citation:
    shu

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