3,584 research outputs found
Automatic oscillator frequency control system
A frequency control system makes an initial correction of the frequency of its own timing circuit after comparison against a frequency of known accuracy and then sequentially checks and corrects the frequencies of several voltage controlled local oscillator circuits. The timing circuit initiates the machine cycles of a central processing unit which applies a frequency index to an input register in a modulo-sum frequency divider stage and enables a multiplexer to clock an accumulator register in the divider stage with a cyclical signal derived from the oscillator circuit being checked. Upon expiration of the interval, the processing unit compares the remainder held as the contents of the accumulator against a stored zero error constant and applies an appropriate correction word to a correction stage to shift the frequency of the oscillator being checked. A signal from the accumulator register may be used to drive a phase plane ROM and, with periodic shifts in the applied frequency index, to provide frequency shift keying of the resultant output signal. Interposition of a phase adder between the accumulator register and phase plane ROM permits phase shift keying of the output signal by periodic variation in the value of a phase index applied to one input of the phase adder
Harmonic damped oscillators with feedback. A Langevin study
We consider a system in direct contact with a thermal reservoir and which, if
left unperturbed, is well described by a memory-less equilibrium Langevin
equation of the second order in the time coordinate. In such conditions, the
strength of the noise fluctuations is set by the damping factor, in accordance
with the Fluctuation and Dissipation theorem. We study the system when it is
subject to a feedback mechanism, by modifying the Langevin equation
accordingly. Memory terms now arise in the time evolution, which we study in a
non-equilibrium steady state. Two types of feedback schemes are considered, one
focusing on time shifts and one on phase shifts, and for both cases we evaluate
the power spectrum of the system's fluctuations. Our analysis finds application
in feedback cooled oscillators, such as the Gravitational Wave detector AURIGA.Comment: 17 page
Effect of disorder and noise in shaping the dynamics of power grids
The aim of this paper is to investigate complex dynamic networks which can
model high-voltage power grids with renewable, fluctuating energy sources. For
this purpose we use the Kuramoto model with inertia to model the network of
power plants and consumers. In particular, we analyse the synchronization
transition of networks of phase oscillators with inertia (rotators) whose
natural frequencies are bimodally distributed, corresponding to the
distribution of generator and consumer power. First, we start from globally
coupled networks whose links are successively diluted, resulting in a random
Erd\"os-Renyi network. We focus on the changes in the hysteretic loop while
varying inertial mass and dilution. Second, we implement Gaussian white noise
describing the randomly fluctuating input power, and investigate its role in
shaping the dynamics. Finally, we briefly discuss power grid networks under the
impact of both topological disorder and external noise sources.Comment: 7 pages, 6 figure
Photonic Cavity Synchronization of Nanomechanical Oscillators
Synchronization in oscillatory systems is a frequent natural phenomenon and
is becoming an important concept in modern physics. Nanomechanical resonators
are ideal systems for studying synchronization due to their controllable
oscillation properties and engineerable nonlinearities. Here we demonstrate
synchronization of two nanomechanical oscillators via a photonic resonator,
enabling optomechanical synchronization between mechanically isolated
nanomechanical resonators. Optical backaction gives rise to both reactive and
dissipative coupling of the mechanical resonators, leading to coherent
oscillation and mutual locking of resonators with dynamics beyond the widely
accepted phase oscillator (Kuramoto) model. Besides the phase difference
between the oscillators, also their amplitudes are coupled, resulting in the
emergence of sidebands around the synchronized carrier signal.Comment: 23 pages including supplementary materia
- …