Attractors for discrete nonlinear Schrödinger equation with delay

DOI10.1007/s10255-007-7101-yzbMath1221.39004OpenAlexW2061514129MaRDI QIDQ601954

Tao Chen, Caidi Zhao, Shengfan Zhou

Publication date: 29 October 2010

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-007-7101-y

zbMATH Keywords

delayglobal attractordiscrete Schrödinger equationupper semi-continuity

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Discrete version of topics in analysis (39A12) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)

Related Items (14)

Limiting behavior of invariant measures of stochastic delay lattice systems ⋮ Upper semicontinuity of random attractors of stochastic discrete complex Ginzburg–Landau equations with time-varying delays in the delay ⋮ On the stable difference schemes for the Schrödinger equation with time delay ⋮ Invariant measures for stochastic delay nonlocal lattice dynamical systems ⋮ Statistical solution for the nonlocal discrete nonlinear Schrödinger equation ⋮ Pullback attractor for a class of non-autonomous lattice differential equations with delays ⋮ Weak mean attractors and invariant measures for stochastic Schrödinger delay lattice systems ⋮ Periodic measures of stochastic delay lattice systems ⋮ Unnamed Item ⋮ Global attractor for a generalized discrete nonlinear Schrödinger equation ⋮ On the Stability of Schrödinger Type Involutory Differential Equations ⋮ On the stability of the Schrödinger equation with time delay ⋮ Pullback attractors of nonautonomous discrete \(p\)-Laplacian complex Ginzburg-Landau equations with fast-varying delays ⋮ Long time dynamics of a multidimensional nonlinear lattice with memory

Cites Work

• Unnamed Item
• Attractors for 2D-Navier-Stokes models with delays
• Theory of functional differential equations. 2nd ed
• Infinite-dimensional dynamical systems in mechanics and physics.
• Upper semicontinuity of the attractor with respect to parameter dependent delays
• Global existence and compact attractors for the discrete nonlinear Schrödinger equation
• Attractors of retarded first order lattice systems

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