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Long-time behavior for second order lattice dynamical systems. (English) Zbl 1166.37029
Author’s abstract: We prove the existence of a global attractor for a new type of second order lattice dynamical systems in the Hilbert space l 2 ×l 2 . For specific choices of the linear operators this system can be regraded as a spatial discretization of a continuous damped nonlinear Boussinesq equation on m ,m1.
37L30Attractors and their dimensions, Lyapunov exponents
37L60Lattice dynamics (infinite-dimensional dissipative systems)
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