Interpretation of phase-noise generating mechanism in oscillators relies on approximate and numerical calculations for analysis, and simulation tools for synthesis. In this paper, a comprehensive, yet intuitive, phase-noise model is derived as a function of oscillator circuit parameters, suiting both analysis and synthesis of oscillators. Contributions of all noise sources to the phase noise of...

We present a class of waveguide arrays that is the classical analog of a quantum harmonic oscillator, where the mass and frequency depend on the propagation distance. In these photonic lattices, refractive indices and second-neighbor couplings define the mass and frequency of the analog quantum oscillator, while first-neighbor couplings are a free parameter to adjust the model. The quantum mode...

To investigate coupled oscillator model and community detection algorithm, an improvement method about the phase synchronization oscillator model and an optimized method (community detection via model modification) was proposed. By using the Kuramoto oscillator model as a basis, after joining the negative coupling strength, the nodes can be divided into several different synchronized clusters. ...

A mathematical model of the cardiovascular system is simulated numerically. The basic unit in the model is an oscillator that possesses a structural stability and robustness motivated by physiological understanding and by the analysis of measured time series. Oscillators with linear couplings are found to reproduce the main characteristic features of the experimentally obtained spectra. To expl...

An impact oscillator is a non-smooth dynamical system with discontinuous state jumps whose dynamical behavior illustrates a variety of nonlinear phenomena including a grazing bifurcation. This specific phenomenon is difficult to analyze because it coincides with an infinite stretching of the phase space in the neighborhood of the grazing orbit, resulting in the well-known problem of the square-...

A canonical Hamiltonian is found for a reduced version of the Jackiw-Pi model bilayer graphene. From corresponding Lagrangian, Noether point symmetries and conserved quantities are determined. The symmetry group same as fifth-dimensional time-dependent harmonic oscillator. realization algebra achieved in terms just one particular solution g1 oscillator equation underlying model. Some numerical ...

We use equations for Faddeev amplitudes to solve the shell-model problem for four nucleons in the model space that includes up to 14h̄Ω harmonic-oscillator excitations above the unperturbed ground state. Twoand three-body effective interactions derived from the Reid93 and Argonne V8’ nucleon-nucleon potentials are used in the calculations. Binding energies, excitations energies, point-nucleon ra...

This paper presents an excitatory CMOS neuron oscillator circuit design, which can synchronize two neuron-bursting patterns. The excitatory CMOS neuron oscillator is composed of CMOS neurons and CMOS excitatory synapses. And the neurons and synapses are connected into a close loop. The CMOS neuron is based on the Hindmarsh-Rose (HR) neuron model and excitatory synapse is based on the chemical s...

A CMOS voltage controlled Op-Amp oscillator based on N-stage single-ended chain of different inverter types is described in this paper. This paper describes a performance and comparison of a ring oscillator based VCO and an Op-Amp based oscillator based VCO. The VCO is intended to operate in a op-amp based VCO to generate local oscillator frequency for an system. An oscillator topology an impro...

In a recent study,(1) ultradian rhythms of rat sleep-wake behavior were found, using several methods of time series analysis, to be "quasiperiodic." That is, ultradian period varied apparently randomly around a mean of approximately 4 h, with no relationship between ultradian period and time of day. Here it is proposed that a simple two-oscillator model can explain the quasiperiodic characteris...