Analysis of Singular Perturbations for a Class of Interconnected Homogeneous Systems: Input-to-State Stability Approach
Sign Up to like & getrecommendations! Published in 2020 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2020.12.1781
Abstract: Abstract In this work an interconnection of two singularly perturbed homogeneous systems of different degrees is considered. Under relaxed restrictions on the smoothness of the right-hand sides of the system, and some standard assumptions, the… read more here.
Keywords: singular perturbations; analysis singular; class interconnected; homogeneous systems ... See more keywords
Nonlinear singular perturbations of the fractional Schrödinger equation in dimension one
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinearity"
DOI: 10.1088/1361-6544/ab1273
Abstract: The paper discusses nonlinear singular perturbations of delta type of the fractional Schr\"odinger equation $\imath\partial_t\psi=\left(-\triangle\right)^s\psi$, with $s\in(\frac{1}{2},1]$, in dimension one. Precisely, we investigate local and global well posedness (in a strong sense), conservations laws and… read more here.
Keywords: singular perturbations; nonlinear singular; dimension one; fractional schr ... See more keywords
On Singular Perturbations of Quantum Dynamical Semigroups
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Notes"
DOI: 10.1134/s0001434618010157
Abstract: We consider two examples of quantum dynamical semigroups obtained by singular perturbations of a standard generator which are special case of unbounded completely positive perturbations studied in detail in [11]. In Sec. 2, we propose… read more here.
Keywords: singular perturbations; dynamical semigroups; perturbations quantum; quantum dynamical ... See more keywords