The calculation of the oscillation condition is one of the main points of oscillator analysis. Its determination in finite term allows one to calculate the steady state amplitude and frequency of the oscillator. Symbolic solutions provide an additional insight into the behavior of the circuit. As an example the sensitivity of the oscillator to parameter change can be expressed in an exact form....

In this paper we study to what extent the canonical equivalence and the identity of the geometric phases of dissipative and conservative linear oscillators, established in a preceeding paper, can be generalized to nonlinear ones. Considering first the 1-D quartic generalized oscillator we determine, by means of a perturbative time dependent technic of reduction to normal forms, the canonical tr...

This thesis describes the circuit level design of a 900MHz EA ring oscillator based phase-locked loop using 0.35um technology. Multiple phase noise theories are considered giving insight into low phase-noise voltage controlled oscillator design. The circuit utilizes a fully symmetric differential voltage controlled oscillator with cascode current starved inverters to reduces current noise. A co...

The activity of collections of synchronizing neurons can be represented by weakly coupled nonlinear phase oscillators satisfying Kuramoto’s equations. In this article, we build such neural-oscillator models, partly based on neurophysiological evidence, to represent approximately the learning behavior predicted and confirmed in three experiments by well-known stochastic learning models of behavi...

We derive the conditions for establishment of a transverse supermode in a free-electron laser ~FEL! oscillator, and demonstrate the evolution of a supermode by means of a three-dimensional nonlinear code. Both the analytical formulation and the numerical code are based on coupled-mode theory. The oscillator supermode is a combination of transverse modes that keeps its field profile at any point...

Linear and nonlinear refractive index, Abbe number, electronic energy gap and oscillator strength are reported for a new series of (Mg, Ba)F2-based fluorophosphates glasses (MBBA system) doped with rare earth dopants (Er , Nd) in the concentration range of 6.67x10 2.86x10 (ions/cm) and 2.5x10 1.25x10 (ions/cm), respectively. The linear refractive index is found to increase with increasing dopan...

The classical nonlinear oscillator (NO) model has been reported to result in more natural-sounding speech than traditional linear methods. In this paper, we investigate the application of a novel class of oscillator models called Interval Domain (ID) models to speech. Unlike the classical NO model, ID models have compact representations that can describe a wide range of linear and nonlinear sig...

The complex dynamics of coupled-oscillator arrays lead to the existence of a multitude of steady-state solutions. In addition to finding or selecting a desired steady-state solution, one further needs to guarantee its stability. In this section, perturbation methods are described that allow the designer to examine both the existence as well as the local stability of the various steady-state sol...

Two novel approaches to stable legged locomotion control (neural-oscillator based control and switching control) are studied for achieving bipedal locomotion stability. Postural stability is realized by structural dynamics shaping, and gait stability is achieved by synchronization with neural oscillators and switching control. A biologically inspired control with neural oscillators (central pat...

of any wireless communications system. Due to their low cost, design simplicity and ease in practical implementation, for example, MOSFET-based oscillators are widely used in modern wireless handset applications. This three-part tutorial highlights the basics of the oscillator circuit design, setting the relationships between the start-up and steadystate operating modes and the device equivalen...