Pullback Exponential Attractors for Non-autonomous Recurrent Neural Networks with Discrete and Distributed Time-Varying Delays

• DOI: 10.1007/s10884-021-09991-3
• Publication Date: 2021-04-10T09:03:23Z
• Authors: Lin Yang; Yejuan Wang; Peter E. Kloeden
• Keywords: Pullback attractor; Pullback; Lattice (music)

First some sufficient conditions are presented for the existence and the construction of pullback exponential attractors for infinite dimensional non-autonomous dynamical systems with delays. This abstract result is then used to establish the existence of pullback exponential attractors for an infinite lattice model of non-autonomous recurrent neural networks with discrete and distributed time-varying delays.