Pullback Exponential Attractors for Non-autonomous Recurrent Neural Networks with Discrete and Distributed Time-Varying Delays
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-021-09991-3
Abstract: 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… read more here.
Keywords: pullback exponential; non autonomous; neural networks; recurrent neural ... See more keywords
Pullback exponential attractors for a class of non-Newtonian micropolar fluids
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125320
Abstract: Abstract In this paper, we consider the pullback asymptotic behaviors of weak solutions for the 2D non-autonomous Non-Newtonian micropolar fluids. Employing the methods of l-trajectories in [31] , we first establish the existence of a… read more here.
Keywords: micropolar fluids; pullback exponential; non newtonian; newtonian micropolar ... See more keywords
Properties of global and exponential attractors for nonlinear thermo-diffusion Timoshenko system
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5066224
Abstract: In this paper, we consider a new Timoshenko beam model with thermal and mass diffusion effects according to the Gurtin-Pinkin model. Heat and mass exchange with the environment during thermodiffusion in Timoshenko beam, depending on… read more here.
Keywords: system; diffusion; timoshenko; global exponential ... See more keywords
Pullback exponential attractors for second-order lattice system with nonstandard growth condition
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0117249
Abstract: In this paper, we study the existence of pullback attractors and pullback exponential attractors for lattice dynamical system in time-dependent sequence space. First, we introduce a new sequence space with time-dependent variable exponents. Second, two… read more here.
Keywords: system; nonstandard growth; exponential attractors; lattice ... See more keywords
Random uniform exponential attractors for non-autonomous stochastic lattice systems and FitzHugh–Nagumo lattice systems with quasi-periodic forces and multiplicative noise
Sign Up to like & getrecommendations! Published in 2020 at "Stochastics and Dynamics"
DOI: 10.1142/s0219493720500367
Abstract: We first give an existence criterion for a random uniform exponential attractor for a jointly continuous non-autonomous random dynamical system defined on the product space of N-weighted spaces of ... read more here.
Keywords: uniform exponential; non autonomous; lattice systems; random uniform ... See more keywords