In recent decades, increasingly intensive research attention has been given to dynamical
systems containing delays and those affected by the after-effect phenomenon. Such …

Two intrinsic component of machine tool chatter modeling is regenerative time delay and
parametric forcing. The corresponding governing equations are therefore given in the form …

Every day, hundreds of thousands of people undergo general anesthesia. One hypothesis is
that anesthesia disrupts dynamic stability—the ability of the brain to balance excitability with …

A double Hopf bifurcation analysis is performed for the rolling of a low-freeboard ship model
controlled with an active U-tube anti-roll tank (ART). We consider a single-degree-of …

A nonlinear full-wheel time-domain simulation of a two-stage low pressure turbine is
presented, analyzed, and compared with the available experimental data. Recent …

In the present work, an embedded PI controller is designed for speed regulation of DC
servomotor over a wireless network. The embedded controller integrates PI controller with a …

This paper presents a method which applies pseudospectral tau approximation for retarded
functional differential equations (RFDEs). The goal is to construct a system of ordinary …

In the usual approach to determining the stability of a time-periodic delay differential
equation (DDE), the DDE is converted into an approximate system of time-periodic ordinary …

A general formula of Jacobian matrix is derived in an incremental harmonic balance (IHB)
method for general nonlinear delay differential equations (DDEs) with multiple discrete …

Bifurcations of the periodic stationary solutions of nonlinear time‐periodic time‐delay
dynamical systems are analyzed. The solution operator of the governing nonlinear delay …