Robustness of exponentially <i>κ</i>-dissipative dynamical systems with perturbations

Abstract

We study the robustness of exponentially κ-dissipative dynamical systems with perturbed parameters ε ∈ E(⊂ R). In particular, under some proper assumptions, we will construct a family of compact sets {Aε} ε∈E , which is positive invariant, uniformly exponentially attracting and equi-continuous. At last, an application to a Kirchhoff wave model is given.

Dynamic analysis of a delayed COVID-19 epidemic with home quarantine in temporal-spatial heterogeneous via global exponential attractor method

“…At this time, we need to use the global attractor theory of infinite-dimensional dynamical systems to discuss the global dynamics of the system. It is well-known that the global attractor is an important theory to describe the long-term dynamic behavior of dissipative infinite dimensional dynamical systems [12] , [18] , [28] , [29] , [30] , [31] . In [32] , we discussed a class of reaction-diffusion SVIR model with relapse and a varying external source in spatial heterogeneous environment.…”