Abstract: This paper proposes a generalized hyperbolic COordinate Rotation Digital Computer (GH CORDIC) to directly compute logarithms and exponentials with an arbitrary fixed base. In a hardware ...

Abstract: In this paper, we derive a new criterion for uniform stability assessment of the linear periodic time-varying systems: ẋ = A(t)x and A(t+T) = A(t). As a corollary, the lower and upper bounds ...

To some extent, we extend and complement the results of [C. O. Alves and C. Ji, Multi-bump positive solutions for a logarithmic Schrödinger equation with deepening potential well, Sci. China Math. 65 ...

Instead of regularizing f (ρ) = lnρ f (ρ) = ln ρ in the LogSE directly and globally as being done in the literature, we propose a local energy regularization (LER) for the LogSE by first regularizing ...