We study the nonlinear wave equation utt ? c 2 uxx = (u) u(0; t) = 0 = u(; t) (0.1) with an analytic nonlinearity of the type (u) = u 3 + P k4 k u k. On each small{energy surface we consider a solution of the linearized system with initial datum having the proole of an elliptic sinus: we show that solutions starting close to the corresponding phase space trajectory remain close to it for times ...

A bstract Recently, the chiral superconductivity of cosmic string in axion model has gathered attention. The superconductive nature can alter standard understanding cosmology model. For example, a loop with sizable super-conducting current become stable configuration, which is called Vorton. also affect cosmological evolution network. In this paper, we study stability superconducting string. We...

This article exploits macroscopic information for the control of autonomous vehicles in platoon formation case external disturbances. The use such leads to smoother platooning. A mesoscopic controller is proposed, and disturbance string stability proven through input-to-state concepts. Simulations prove efficacy proposed approach by showing its robustness with respect presence perturbations act...

The problem of controlling a platoon of vehicles moving in one dimension is considered so that they all follow a lead vehicle with constant spacing between successive vehicles. The stability and the string stability of a platoon of vehicles with two independent and uncertain delays, one in the inter-vehicle distance and the other in the relative velocity information channels, are considered. Th...

There are two families of non-BPS bi-spinors in the perturbative spectrum of the nine dimensional heterotic string charged under the gauge group SO(16)×SO(16). The relation between these perturbative non-BPS states and certain non-perturbative nonBPS D-brane states of the dual type I′ theory is exhibited. The relevant branes include a ZZ2 charged non-BPS D-string, and a bound state of such a D-...

The exact spectrum of dyons in a class of N=4 supersymmetric string theories is known to change discontinuously across walls of marginal stability. We show that the change in the degeneracy across the walls of marginal stability can be accounted for precisely by the entropy of two centered small black holes which (dis)appear as we cross the walls of marginal stability.