The Lambert W function is defined as the multivalued inverse of the function w ! we 1⁄4 z. It has been applied to stability analysis of a class of fractional delay systems whose transcendental characteristic equation (TCE) can be remodelled in the form (asþ b)eþ d 1⁄4 0. The approach of using the Lambert W function to time-domain analysis of a class of feedback fractional-order time-delay syste...

Article history: Received 2 August 2016 Accepted 18 October 2016 Available online 21 October 2016 Editor: N. Lambert

Nsanze, H; Lestringant, GG; Ameen, AM; Lambert, JM; Galadari, I; Usmani, MA.

We study mirror symmetry for orbifold Hurwitz numbers. We show that the Laplace transform of orbifold Hurwitz numbers satisfy a differential recursion, which is then proved to be equivalent to the integral recursion of Eynard and Orantin with spectral curve given by the r-Lambert curve. We argue that the r-Lambert curve also arises in the infinite framing limit of orbifold Gromov-Witten theory ...

Abstract. The mathematical model of the mutual synchronization system with complete graph structure, composed of n (n ∈ N) oscillators, is investigated. This mathematical model is defined by the matrix differential equation with delayed argument. The solution of the matrix differential equation with delayed argument is obtained by applying the Lambert W function method. On the base of this solu...

We show that the Bagger-Lambert theory of multiple M2-branes fits into the general construction of maximally supersymmetric gauge theories using the embedding tensor technique. We apply the embedding tensor technique in order to systematically obtain the consistent gaugings of N = 8 superconformal theories in 2 + 1 dimensions. This leads to the Bagger-Lambert theory, with the embedding tensor p...