2022/05/13 by Huynh, Huy, Kalkan, Abdullah
#Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.2205.06652
The construction of attractors of a dissipative difference equation is usually based on compactness assumptions. In this paper, we replace them with contractivity assumptions under which the pullback and forward attractors are identical. As a consequence, attractors degenerate to unique bounded entire solutions. As an application, we investigate attractors of integrodifference equations which are popular models in theoretical ecology.