Limiting behavior of invariant measures of highly nonlinear stochastic retarded lattice systems

DOI10.3934/dcdsb.2022054zbMath1505.37092OpenAlexW4221084325MaRDI QIDQ2082005

Yusen Lin, Dingshi Li

Publication date: 30 September 2022

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2022054

zbMATH Keywords

invariant measureretardedstochastic lattice systemlimit measurehighly nonlinear

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Ordinary differential equations and systems with randomness (34F05) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

Related Items (2)

Periodic measures of impulsive stochastic neural networks lattice systems with delays ⋮ Limiting dynamics of stochastic complex Ginzburg–Landau lattice systems with long-range interactions in weighted space

Cites Work

• Exponential stability of non-autonomous stochastic delay lattice systems with multiplicative noise
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• ATTRACTORS FOR STOCHASTIC LATTICE DYNAMICAL SYSTEMS
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