In this paper, the problem of a 1D elastic distributed system coupled with a moving linear oscillator, often referred to as the ‘‘moving oscillator’’ problem, is studied. The problem is formulated using a ‘‘relative displacement’’ model, which shows that, in the limiting case of infinite oscillator stiffness, the moving mass problem is recovered. The coupled equations of motion are recast into ...

In this study, we designed an MOS varactor for application in the differential voltage-controlled oscillator (VCO). To improve quality factor of varactor, proposed a symmetric layout technique with reduced parasitic components. Compared typical layout, metal line interconnection varactors that is inevitable cross-coupled VCO was minimized to reduce resistance. addition, line, overall size also ...

An array of oscillators coupled through mutual injection locking on a nearest neighbor basis has the property of automatically adjusting itself to linear phase progression across the array in response to appropriate adjustment of the elements at the edge of the array. This mechanism is well-suited to phase generation for phased array antennas at millimeter wavelengths because it obviates the to...

We theoretically describe the weak measurement of a two-level system qubit and quantify the degree to which such a qubit measurement has a quantum nondemolition QND character. The qubit is coupled to a harmonic oscillator, which undergoes a projective measurement. Information on the qubit state is extracted from the oscillator measurement outcomes, and the QND character of the measurement is in...

We take a new approach to investigate synchronization in networks of coupled oscillators. We show that the coupled oscillator system when restricted to a proper region is a distributed partial primal-dual gradient algorithm for solving a well-defined convex optimization problem and its dual. We characterize conditions for synchronization solution of the KKT system of the optimization problem, b...

Systems of coupled oscillators are widely used as models for biological rhythmic oscillations such as human circadian rhythms[1, 2], finger movements, animal locomotion[3], swarms of fireflies that flash in synchrony, synchronous firing of cardiac pacemaker cells[5, 6], and so on. Using these coupled oscillator models, many investigators have studied the mechanism of generation of synchronous o...

This paper reports result of calculation and experimental realization of an electromechanical system that consists of a high-Q mechanical oscillator parametrically coupled in the manner of a capacitive transducer with a radio frequency (RF) circuit, which is in turn inductively coupled with another RF circuit. The system operates in the resolved sideband regime when the mechanical oscillator's ...