We propose that a broad class of excited-state quantum phase transitions (ESQPTs) gives rise to two different phases. These phases are identified by means an operator, $\hat{\mathcal{C}}$, which is constant motion only in one them. Hence, the ESQPT critical energy splits spectrum into where equilibirium expectation values physical observables crucially depend on this motion, and another relevan...

Let B be a Brownian motion. We show that there is a process H predictable in the natural filtration of B, such that H ·S is a Brownian motion in its own filtration, where St =Bt+t. In other words, H hides the constant drift. This gives a positive answer to a question posed by Marc Yor.

in this paper, the important formation control problem of nonholonomic wheeled mobile robots is investigated via a leader-follower strategy. to this end, the dynamics model of the considered wheeled mobile robot is derived using lagrange equations of motion. then, using adams multi-body simulation software, the obtained dynamics of the wheeled system in matlab software is verified. after that, ...

In this paper we present a robust hybrid motion/force controller for rigid robot manipulators. The main contribution of this paper is that the proposed hybrid control system is able to accomplish motion objectives in free directions and force objectives in constrained directions under parametric uncertainty both in robot dynamics and stiffness constraint constant. Also, the given scheme is prov...

in this paper, free vibration of functionally graded rectangular simply supported thick plates based on two variable refined plate theory is presented. according to a power-law distribution, the mass density and elasticity modulus of the plate are considered to vary while poisson’s ratio is constant. in order to extract the five constitutive equations of motion, hamilton principle is employed. ...