Two-point correlation function and its applications to the Schrödinger-Lohe type models
DOI10.1090/qam/1623zbMath1497.35431OpenAlexW4293451645MaRDI QIDQ5099120
Gyuyoung Hwang, Dohyun Kim, Seung-Yeal Ha
Publication date: 31 August 2022
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/qam/1623
continuum limituniform stabilityglobal existencequantum synchronizationSchrödinger-Lohe modelStrichartz estimates on lattice
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Finite difference methods for boundary value problems involving PDEs (65N06) Time-dependent Schrödinger equations and Dirac equations (35Q41) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
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Cites Work
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- Emergence of phase-locked states for the Kuramoto model in a large coupling regime
- Convergence rates for dispersive approximation schemes to nonlinear Schrödinger equations
- Chemical oscillations, waves, and turbulence
- The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives
- On the continuum limit for discrete NLS with long-range lattice interactions
- Collective synchronization of the multi-component Gross-Pitaevskii-Lohe system
- Emergent behaviors of the Schrödinger-Lohe model on cooperative-competitive networks
- Uniform Strichartz estimates on the lattice
- Quantum synchronization of the Schrödinger–Lohe model
- Dynamical system approach to synchronization of the coupled Schrödinger–Lohe system
- Synchronization of Pulse-Coupled Biological Oscillators
- Convergence of a first-order consensus-based global optimization algorithm
- Numerical Dispersive Schemes for the Nonlinear Schrödinger Equation
- Non-Abelian Kuramoto models and synchronization
- Asymptotic behavior and stability for the Schrödinger-Lohe model
- Higher-dimensional generalizations of the Watanabe–Strogatz transform for vector models of synchronization
- Strong Convergence for Discrete Nonlinear Schrödinger equations in the Continuum Limit
- Emergent behaviors of a holonomic particle system on a sphere
- FULLY DISCRETE SCHEMES FOR THE SCHRÖDINGER EQUATION: DISPERSIVE PROPERTIES
- A model of synchronization over quantum networks
- Essential self-adjointness of the graph-Laplacian
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