Piezoelectric actuators are widely used in applications of micropositioning. In the most situations, there is a contact with an environment. Existence of external forces is a challenging problem in controlling mechanical system, especially in micro scales such as piezoelectric actuators. In such a situation, dual hysteresis nonlinearity effects could disrupt the actuator micropositioning accura...

The ferromagnetic Ising model on the Bethe lattice of degree k is considered in the presence of a dichotomous external random field fx= +a and the temperature T>0. We give a description of a part of the phase diagram of this model in the T-a. plane, where we are able to construct limiting Gibbs states and ground states. By comparison with the model with a constant external field we show that fo...

CONTEXT Automated external defibrillators (AEDs) play a key role in the community resuscitation of persons with cardiac arrest and are of proven clinical benefit. Although AEDs are complex medical devices designed to function during life-threatening emergencies, little is known about their reliability. OBJECTIVES To determine the number and rate of AED recalls and safety alerts, to identify t...

Neural networks with recurrent connections are sometimes regarded as too slow at computation to serve as models of the brain. Here we analytically study a counterexample, a network consisting of N integrate-and-fire neurons with self excitation, all-to-all inhibition, instantaneous synaptic coupling, and constant external driving inputs. When the inhibition and/or excitation are large enough, t...

We describe a nonlocal method for generating entangled coherent states of a two-mode field wherein the field modes never meet. The proposed method is an extension of an earlier proposal C. C. Gerry, Phys. Rev. A 59, 4095 1999 for the generation of superpositions of coherent states. A single photon injected into a Mach-Zehnder interferometer with cross-Kerr media in both arms coupling with two e...

The accuracy of zero-electron-kinetic-energy ~ZEKE! photoelectron spectroscopy rests on the ultralong lifetimes of the high-n, high-l Rydberg states that are responsible for the ZEKE signal. However, a few-photon process cannot excite electrons directly from the low-l ground state to the high-l ZEKE manifold. In this paper we show that using the dynamics of Rydberg Stark states in slowly time d...

The Stark effect in molecular Rydberg states is qualitatively different from the Stark effect in atomic Rydberg states because of the anisotropy of the ion core and the existence of rotational and vibrational degrees of freedom. These uniquely molecular features cause the electric-field-induced decoupling of the Rydberg electron from the body frame to proceed in several stages in a molecule. Be...

In this study, we develop fuzzy adaptive tracking control via two-layer fuzzy observers, variable structure systems (VSS), and H∞ control algorithm for nonlinear systems with plant uncertainties, output delays, and external disturbances. The Takagi–Sugeno fuzzy dynamic model with adaptation capability is used to approximate the nonlinear system. When the system states are not available, the sta...