We present here an analytical phase noise model of phased-locked loop for frequency synthesizer and its simulation in GHz frequency range. The noise model has been derived and simulated considering two different filter sections in the loop of the phased-locked loop model, namely: (i) active lag-lead filter and (ii) standard feedback approach. The noise transfer functions of the phased-locked lo...

A new logistic model for bacterial growth was developed in this study. The model is based on a logistic model, which is often applied for biological and ecological population kinetics. The new model is described by a differential equation and contains an additional term for suppression of the growth rate during the lag phase, compared with the original logistic equation. The new model successfu...

In this paper we consider the following three-phase-lag thermoelastic plate: ρu¨=−Δ(μΔu−mθ),c(θ˙+τqθ¨)=mΔ(u˙+τqu¨)+Δ(k∗α+τν∗θ+kτθθ˙).We obtain analyticity and exponential stability for associated C0-semigroup when coefficients satisfy τν≥k∗τq. The of semigroup still holds τν<k∗τq. However, instability solution was proved by Routh–Hurwitz rule.

As the mechanism of gas transport and exchange in human respiratory ventilation, the complicated processes of mixing and diffusion in airways of human lungs are considered. However the mechanism has not been clarified enough. On the other hand, the analysis of detailed mechanism in the case of artificial ventilation like HFOV (High Frequency Oscillatory Ventilation) is strongly required for the...

The aim of this article is to analyze nonlinear electro-magneto vibration of a double-piezoelectric composite microplate-system (DPCMPS) pursuant to the nonlocal piezoelasticity theory. The two microplates are assumed to be connected by an enclosing elastic medium, which is simulated by the Pasternak foundation. Both of piezoelectric composite microplates are made of poly-vinylidene fluoride (P...

We investigate the transition to synchrony in a system of phase oscillators that are globally coupled with a phase lag (Sakaguchi-Kuramoto model). We show that for certain unimodal frequency distributions there appear unusual types of synchronization transitions, where synchrony can decay with increasing coupling, incoherence can regain stability for increasing coupling, or multistability betwe...

Implementation of periodic thermal excitation to identify thermal properties (conductivity, heat capacity, diffusivity) of complex composite materials at different investigation scales (from micrometer to millimetre) presents many advantages. These methods are usually based on the thermal waves phase lag observation compared to a reference signal. In fact, phase lag evolution versus distance to...

In the present paper, we will investigate a family of explicit four-step methods first introduced by Anastassi and Simos [1] for the case of vanishing of phase-lag and its first derivative. These methods are efficient for the numerical solution of the Schrödinger equation and related initial-value or boundary-value problems with periodic and/or oscillating solutions. As we mentioned before the ...