Invariant measures for stochastic FitzHugh-Nagumo delay lattice systems with long-range interactions in weighted space

Abstract

The focus of this paper lies in exploring the limiting dynamics of stochastic FitzHugh-Nagumo delay lattice systems with long-range interactions and nonlinear noise in weighted space. To begin, we established the well-posedness of solutions to these stochastic delay lattice systems and subsequently proved the existence and uniqueness of invariant measures.

Keywords

• fitzhugh-nagumo lattice systems
• nonlinear noise
• weighted space
• invariant measures
• delay