Delay-based reservoir computing has gained a lot of attention due to the relative simplicity
with which this concept can be implemented in hardware. However, unnecessary constraints …

There are many natural phenomena including a crisis (such as a spate or contest) which
could be described in three steps. We investigate the existence of solutions for a three step …

A fundamental challenge in mathematical modelling is to find a model that embodies the
essential underlying physics of a system, while at the same time being simple enough to …

This work is concerned with efficient numerical methods for computing high order Taylor and
Fourier-Taylor approximations of unstable manifolds attached to equilibrium and periodic …

We construct analytic quasi-periodic solutions of a state-dependent delay differential
equation with quasi-periodically forcing. We show that if we consider a family of problems …

In this article, we extend the Laplace transform method to obtain analytic solutions for linear
RDDEs and NDDEs which have real and complex poles of higher order. Furthermore, we …

Cluster synchronization is a fundamental phenomenon in systems of coupled oscillators.
Here, we investigate clustering patterns that emerge in a unidirectional ring of four delay …

Passively mode-locked semiconductor lasers are compact, inexpensive sources of short
light pulses of high repetition rates. In this work, we investigate the dynamics and …

Dynamic behavior investigations of infectious disease models are central to improve our
understanding of emerging characteristics of model states interaction. Here, we consider a …

Delay differential equations (DDEs) have been used successfully in the past to model
climate systems at a conceptual level. An important aspect of these models is the existence …