The self-excited vibration, called chatter, is one of the main limitations in metal removal
processes. Chatter may spoil the surface of the part and can also cause large reduction in …

We study an SEIQR (Susceptible–Exposed–Infectious–Quarantined–Recovered) model due
to Young et al.(2019) for an infectious disease, with time delays for latency and an …

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 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 …

Time delay arises in a variety of real-world complex systems. A high-fidelity simulation
generally renders high accuracy to simulate the dynamic evolution of such complex systems …

In this study, we consider analytical and numerical exploration of the dynamics of a weakly
nonlinear piecewise linear (PWL) Mathieu equation with a time delay. A study of such …

Delay differential equations (DDEs) are infinite-dimensional systems, therefore analyzing
their stability is a difficult task. The delays can be discrete or distributed in nature. DDEs with …

Many dynamic systems of practical interest have inherent time delays and thus are governed
by delay differential equations (DDEs). Because DDEs are infinite dimensional, time …

We present an algorithm for determining the stability of delay differential equations (DDEs)
with time-periodic coefficients and time-periodic delays. The DDEs are first posed as an …

In this paper, we propose a pole-placement technique for second-order, time-delayed
systems that combines the strengths of the method of receptances and an optimization …