Kolmogorov entropy of global attractor for dissipative lattice dynamical systems

We consider Kolmogorov’s ε-entropy of the global attractor for first and second order dissipative lattice dynamical systems. By using the element decomposition and the covering property of a polyhedron by balls of radii ε in the finite dimensional space, we obtain an estimate of the upper bound for Kolmogorov’s ε-entropy of the global attractor.