Models for the stabilization of an inverted pendulum figure prominently in studies of human
balance control. Surprisingly, fluctuations in measures related to the vertical displacement …

Conceptual delay models have played a key role in the analysis and understanding of El
Niño-Southern Oscillation (ENSO) variability. Based on such delay models, we propose in …

We study the well-posedness of nonautonomous nonlinear delay equations in $\mathbb
{R}^{n} $ as evolutionary equations in a proper Hilbert space. We present a construction of …

We show, by way of an example, that numerical bifurcation tools for ODE yield reliable
bifurcation diagrams when applied to the pseudospectral approximation of a one-parameter …

A numerical method based on pseudospectral collocation is proposed to approximate the
eigenvalues of evolution operators for linear renewal equations, which are retarded …

We propose a method for computing the Lyapunov exponents of renewal equations (delay
equations of Volterra type) and of coupled systems of renewal and delay differential …

We explore the bifurcations and dynamics of a scalar differential equation with a single
constant delay which models the population of human hematopoietic stem cells in the bone …

The aim of this paper is to introduce a generalized form of the Lorenz system with time delay.
Instead of considering each state variable of the Lorenz system belonging to R𝕉, the paper …

In this paper, we investigate the influence of the retarded access by a time-varying delay on
the dynamics of delay systems. We show that there are two universality classes of delays …

A recent pseudospectral collocation is used to reduce a nonlinear delay differential equation
to a system of ordinary differential equations. Standard methods are then applied to compute …