In the present paper the behavior of an elastically mounted cylinder in low and high mass-damping ratio is investigated. For high mass-damping ratio, a classical wake oscillator model is used. At the first, by neglecting all damping and nonlinear terms of this model, the possibility of using a linear model for determination of the lock-in range and the dominant mode is investigated. Then, w...

Duffing harmonic oscillator is a common model for nonlinear phenomena in science and engineering. This paper presents He´s Energy Balance Method (EBM) for solving nonlinear differential equations. Two strong nonlinear cases have been studied analytically. Analytical results of the EBM are compared with the solutions obtained by using He´s Frequency Amplitude Formulation (FAF) and numerical solu...

The endogenous neuropeptide FMRFamide (Phe-Met-Arg-Phe-NH2) can accelerate the oscillation of reciprocally inhibitory pairs of interneurons that pace heartbeat in the medicinal leech. A model based on all available biophysical data of a two-cell heart interneuron oscillator provides a theoretical basis for understanding this modulation. Previously observed modulation of K+ currents by FMRFamide...

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...

A laser model is formulated in terms of quantum harmonic oscillators. Emitters the low lasing states are usual oscillators, and emitters upper inverted Diffusion coefficients, consistent with necessary for solving nonlinear equations analytically, found. Photon number fluctuations mode population calculated. Collective Rabi splitting peaks predicted intensity fluctuation spectra superradiant la...

A novel approach is suggested for detecting the presence or absence of synchronization between two or three interacting processes with different time scales in univariate data. It is based on an angle-of-return-time map. A model is derived to describe analytically the behavior of angles for a periodic oscillator under weak periodic and quasiperiodic forcing. An explicit connection is demonstrat...