Exponential attractors for lattice dynamical systems in weighted spaces. (English) Zbl 1230.34014
Summary: We first present some sufficient conditions for the existence of exponential attractors for locally coupled lattice dynamical systems in weighted spaces of infinite sequences. Then, we apply this result to discuss the existence of exponential attractors for first order lattice systems, partly dissipative lattice systems and second order lattice systems in weighted spaces of infinite sequences.
MSC:
34A33 | Ordinary lattice differential equations |
34D45 | Attractors of solutions to ordinary differential equations |