This book presents the authors' recent work on the numerical methods for the stability
analysis of linear autonomous and periodic delay differential equations, which consist 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 …

Human balance with exoskeleton assistance is studied using an inverted pendulum model,
considering time delays in the muscle reflexes and the exoskeleton controller. The model …

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 …

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 …

In this paper, we develop Galerkin approximations for determining the stability of delay
differential equations (DDEs) with time periodic coefficients and time periodic delays. Using …

In the machining process that material removal involves, the time-delay effect due to the
regenerative cutting is the root cause of tool chatter, which is a severe nonlinear vibration …