LAUSR

Finite‐dimensional global attractor for a semi‐discrete fractional nonlinear Schrödinger equation

Sign Up to like & get
recommendations!
0 Published in 2017 at "Mathematical Methods in The Applied Sciences"

DOI: 10.1002/mma.4409

Abstract: We consider a semi-discrete in time Crank–Nicolson scheme to discretize a weakly damped forced nonlinear fractional Schrodinger equation ut−i(−Δ)αu+i|u|2u+γu=f for α∈(12,1) considered in the the whole space R. We prove that such semi-discrete equation provides… read more here.

Keywords: finite dimensional; semi discrete; global attractor; dimensional global ... See more keywords

Global Attractor of an Impulsive Dynamical System Generated by The wave Equation

Sign Up to like & get
recommendations!
1 Published in 2018 at "Journal of Mathematical Sciences"

DOI: 10.1007/s10958-018-4112-6

Abstract: We prove the existence and invariance of a global attractor for a discontinuous system generated by the wave equation such that solutions of the system undergo impulsive perturbations when they reach a certain fixed subset… read more here.

Keywords: global attractor; system; system generated; wave equation ... See more keywords

Converging outer approximations to global attractors using semidefinite programming

Sign Up to like & get
recommendations!
0 Published in 2021 at "Automatica"

DOI: 10.1016/j.automatica.2021.109900

Abstract: This paper develops a method for obtaining guaranteed outer approximations for global attractors of continuous and discrete time nonlinear dynamical systems. The method is based on a hierarchy of semidefinite programming problems of increasing size… read more here.

Keywords: semidefinite programming; global attractor; global attractors; outer approximations ... See more keywords

Global attractor of the quasi-linear wave equation with strong damping

Sign Up to like & get
recommendations!
1 Published in 2018 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2017.10.021

Abstract: Abstract The paper investigates the existence of global attractor of the quasi-linear wave equation with strong damping u t t − γ Δ u t − Δ u + f ( u ) = ∇… read more here.

Keywords: global attractor; attractor quasi; attractor; linear wave ... See more keywords

Existence of the global attractor to fractional order generalized coupled nonlinear Schrödinger equations with derivative

Sign Up to like & get
recommendations!
0 Published in 2018 at "Boundary Value Problems"

DOI: 10.1186/s13661-018-1027-6

Abstract: In this paper, we are concerned with the fractional Schrödinger equation with time fraction order, fractional Laplacian, and derivative terms. The existence of weak solution is established, as well as the existence of global attractor… read more here.

Keywords: existence global; order; global attractor; schr dinger ... See more keywords