Pullback attractors via quasi-stability for non-autonomous lattice dynamical systems
Copyright policy )Pullback attractors via quasi-stability for non-autonomous lattice dynamical systems
<p style='text-indent:20px;'>In this paper we study long-time behavior of first-order non-autono-mous lattice dynamical systems in square summable space of double-sided sequences using the cooperation between the discretized diffusion operator and the discretized reaction term. We obtain existence of a pullback global attractor and construct pullback exponential attractor applying the introduced notion of quasi-stability of the corresponding evolution process.</p>
- Polish Academy of Sciences Poland
- University of Silesia Poland
- Institute of Mathematics Poland
fractal dimension, pullback exponential attractor, lattice dynamics, Lattice dynamics and infinite-dimensional dissipative dynamical systems, Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems, pullback global attractor, quasi-stability, Stability problems for infinite-dimensional dissipative dynamical systems
fractal dimension, pullback exponential attractor, lattice dynamics, Lattice dynamics and infinite-dimensional dissipative dynamical systems, Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems, pullback global attractor, quasi-stability, Stability problems for infinite-dimensional dissipative dynamical systems
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