This paper discusses performance prediction of clock generation PLLs using a ring oscillator based VCO (RingVCO) and an LC oscillator based VCO (LCVCO). For clock generation, we generally design PLLs using RingVCOs because of their superiority in tunable frequency range, chip area and power consumption, in spite of their poor noise characteristics. In the future, it is predicted that operating ...

In this paper, a new analytical approach has been presented for solving strongly nonlinear oscillator problems. Iteration perturbation method leads us to high accurate solution. Two different high nonlinear examples are also presented to show the application and accuracy of the presented method. The results are compared with analytical methods and with the numerical solution using Runge-Kutta m...

The Winfree model describes finite networks of phase oscillators. Oscillators interact by broadcasting pulses that modulate the frequencies of connected oscillators. We study a generalization of the model and its fluiddynamical limit for networks, where oscillators are distributed on some abstract σ-finite Borel measure space over a separable metric space. We give existence and uniqueness state...

We argue that the reliability of a limit-cycle oscillator generally improves when it is driven by a random impulsive input. By reducing the dynamics of the oscillator to a stochastic phase equation, we argue generally that the orbit of a limit-cycle oscillator is statistically stabilized against phase disturbances when it is driven by a weak impulsive input regardless of its details, leading to...

The dielectric permittivity, conductivity and loss tangent of water were measured with non-blocking electrodes for different thicknesses of the sample and for various oscillator levels. The measurements were carried out in the 20-90°C temperature range with the 10°C interval. Domain Debye resonances in water, as well as changes in dielectric constants, relaxation times and conductivity with tem...

Quantum search is a quantum mechanical technique for searching N possibilities in only √ N steps. We show that the algorithm can be described as a resonance phenomenon. A similar algorithm applies in a purely classical setting when there are N oscillators, one of which is of a different resonant frequency. We could identify which one this is by measuring the oscillation frequency of each oscill...

Some 20 years ago, in a paper written jointly with Peter Mazur, we presented a discussion of the statistical mechanics of a coupled-oscil lator model of a heat bath. ~1) This model enabled us to obtain the quan tum mechanical form of the Langevin equat ion for a Brownian particle moving in an external potential. Ou r purpose here is to repeat this derivation, using a different, some would say s...

We investigate the emergence of bursting oscillations and their relation to (quasi-) periodic behaviour in two different model systems, a pH oscillator and a calcium oscillator. Both systems are described by 3-dimensional ODE systems and follow different ‘routes’ to bursting oscillations as parameters are varied. In the first part, we exploit the slow-fast structure of the 3-dimensional ODE sys...