Abstract Nine characteristics of discontinuous agreement are shown to flow from a syntax that deals in whole phi structures and linearisation algorithm renders these when conditions converge. This approach is demonstrably superior reliance solely on syntax, morphology, or the lexicon, outperforming across range morphological syntactic data Afroasiatic languages those Australia Papua New Guinea.

This paper considers discrete-time nonlinear, possibly discontinuous, systems in closed-loop with Model Predictive Controllers (MPC). The aim of the paper is to provide a priori sufficient conditions for asymptotic stability in the Lyapunov sense and robust stability, while allowing for both the system dynamics and the value function of the MPC cost (the usual candidate Lyapunov function in MPC...

A method for programming current in dc/dc converters operating in discontinuous conduction mode is described in this paper. The control variable is the product of the square of the duty cyle and the switching period (D T ), which is directly proportional to input and output currents of a discontinuous-mode converter. A method of controllingD T is applied to converters that utilize one switch (o...

Abstract. We rigorously prove results on spiky patterns for the Gierer-Meinhardt system [8] with a jump discontinuity in the diffusion coefficient of the inhibitor. Using numerical computations in combination with a Turing-type instability analysis, this system has been investigated by Benson, Maini and Sherratt [1], [3], [11]. Firstly, we show the existence of an interior spike located away fr...

Consider the p–system describing the subsonic flow of a fluid in a pipe with section a = a(x). We prove that the resulting Cauchy problem generates a Lipschitz semigroup, provided the total variation of the initial datum and the oscillation of a are small. An explicit estimate on the bound of the total variation of a is provided, showing that at lower fluid speeds, higher total variations of a ...

This paper is the second part of a work attempting to give a unified analysis of Discontinuous Galerkin methods. The setting under scrutiny is that of Friedrichs’ systems endowed with a particular 2×2 structure in which some of the unknowns can be eliminated to yield a system of second-order elliptic-like PDE’s for the remaining unknowns. For such systems, a general Discontinuous Galerkin metho...