Asymptotic analysis and upper semicontinuity with respect to delay term of attractors to binary mixtures of solids

2021 ◽  
pp. 1-26
Author(s):  
M.M. Freitas ◽  
A.J.A. Ramos ◽  
M.J. Dos Santos ◽  
L.G.R. Miranda ◽  
J.L.L. Almeida
Keyword(s):  
Nonlinear System ◽  
System Modeling ◽  
Upper Semicontinuity ◽  
Global Attractors ◽  
Exponential Attractors ◽  
Small Perturbations ◽  
Nonlinear System Modeling ◽  
Delay Term ◽  
Finite Dimensionality ◽  
Asymptotic Dynamics

We investigated the asymptotic dynamics of a nonlinear system modeling binary mixture of solids with delay term. Using the recent quasi-stability methods introduced by Chueshov and Lasiecka, we prove the existence, smoothness and finite dimensionality of a global attractor. We also prove the existence of exponential attractors. Moreover, we study the upper semicontinuity of global attractors with respect to small perturbations of the delay terms.

scholarly journals Quasi-stability and continuity of attractors for nonlinear system of wave equations

2021 ◽  
Vol 8 (1) ◽  
pp. 27-45
Author(s):  
M. M. Freitas ◽  
M. J. Dos Santos ◽  
A. J. A. Ramos ◽  
M. S. Vinhote ◽  
M. L. Santos
Keyword(s):  
Wave Equations ◽  
Coupled System ◽  
Global Attractors ◽  
Time Behavior ◽  
Exponential Attractors ◽  
Small Perturbations ◽  
Recent Approach ◽  
Nonlinear Coupled System ◽  
Long Time ◽  
External Forces

Abstract In this paper, we study the long-time behavior of a nonlinear coupled system of wave equations with damping terms and subjected to small perturbations of autonomous external forces. Using the recent approach by Chueshov and Lasiecka in [21], we prove that this dynamical system is quasi-stable by establishing a quasistability estimate, as consequence, the existence of global and exponential attractors is proved. Finally, we investigate the upper and lower semicontinuity of global attractors under autonomous perturbations.

Information-Applied Technology with Nonlinear System Modeling Method of Elman Network Based on Particle Swarm Optimization

2014 ◽  
Vol 952 ◽  
pp. 307-310
Author(s):  
Yan Ming Wei ◽  
Hua Ping Li ◽  
Hai Long Gao
Keyword(s):  
Particle Swarm Optimization ◽  
Nonlinear System ◽  
System Modeling ◽  
Particle Swarm ◽  
Pso Algorithm ◽  
Modeling Method ◽  
Elman Network ◽  
Swarm Optimization ◽  
Nonlinear System Modeling ◽  
Fast Training

In order to improve the modeling ability for nonlinear system, an Elman modeling method based on Particle Swarm Optimization (PSO) algorithm is proposed. It uses PSO algorithm to optimize the parameters of Elman network. The simulation result shows that the proposed hybrid method combined Elman with PSO algorithm has a good modeling performance with fast training rate for complex nonlinear system.

Monitoring based nonlinear system modeling of bridge–continuous welded rail interaction

2018 ◽  
Vol 155 ◽  
pp. 25-35 ◽  
Author(s):  
Alfred Strauss ◽  
Saeed Karimi ◽  
Martina Šomodíková ◽  
David Lehký ◽  
Drahomír Novák ◽  
...  
Keyword(s):  
Nonlinear System ◽  
System Modeling ◽  
Nonlinear System Modeling ◽  
Continuous Welded Rail
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