On a mathematical model for a damped and driven double-well Bose-Einstein condensate

DOI10.1016/j.physd.2020.132711zbMath1493.37105OpenAlexW3083118149MaRDI QIDQ2116283

Andrea Sacchetti, Andrea Gavioli

Publication date: 16 March 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2020.132711

zbMATH Keywords

resonancesamplitude-response curvesdamped and forced nonlinear oscillators

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Parametric resonances for nonlinear problems in mechanics (70K28) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Cites Work

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• Symmetry-breaking bifurcation in the nonlinear Schrödinger equation with symmetric potentials
• Dynamical stabilization of self-trapping of two weakly coupled Bose-Einstein condensates
• Bifurcation and stability for nonlinear Schrödinger equations with double well potential in the semiclassical limit
• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• Destruction of the beating effect for a nonlinear Schrödinger equation
• Nonlinear double well Schrödinger equations in the semiclassical limit
• Bose-Einstein condensates as gravitational wave detectors
• Solution to the double-well nonlinear Schrödinger equation with Stark-type external field

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