Role of delay-times in delay-based photonic reservoir computing
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 …
with which this concept can be implemented in hardware. However, unnecessary constraints …
[HTML][HTML] On the existence of solutions of a three steps crisis integro-differential equation
D Baleanu, K Ghafarnezhad, S Rezapour… - Advances in difference …, 2018 - Springer
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 …
could be described in three steps. We investigate the existence of solutions for a three step …
Climate models with delay differential equations
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 …
essential underlying physics of a system, while at the same time being simple enough to …
[HTML][HTML] Parameterization method for unstable manifolds of delay differential equations
CM Groothedde, JDM James - Journal of Computational Dynamics, 2017 - aimsciences.org
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 …
Fourier-Taylor approximations of unstable manifolds attached to equilibrium and periodic …
[HTML][HTML] Construction of quasi-periodic solutions of state-dependent delay differential equations by the parameterization method II: Analytic case
X He, R de la Llave - Journal of Differential Equations, 2016 - Elsevier
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 …
equation with quasi-periodically forcing. We show that if we consider a family of problems …
[HTML][HTML] Analytic solutions of linear neutral and non-neutral delay differential equations using the Laplace transform method: featuring higher order poles and …
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 …
RDDEs and NDDEs which have real and complex poles of higher order. Furthermore, we …
[HTML][HTML] Transitional cluster dynamics in a model for delay-coupled chemical oscillators
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 …
Here, we investigate clustering patterns that emerge in a unidirectional ring of four delay …
Multipulse dynamics of a passively mode-locked semiconductor laser with delayed optical feedback
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 …
light pulses of high repetition rates. In this work, we investigate the dynamics and …
Stability Switches, Hopf Bifurcation and Chaotic Dynamics in Simple Epidemic Model with State-Dependent Delay
Dynamic behavior investigations of infectious disease models are central to improve our
understanding of emerging characteristics of model states interaction. Here, we consider a …
understanding of emerging characteristics of model states interaction. Here, we consider a …
The effect of state dependence in a delay differential equation model for the El Niño Southern Oscillation
A Keane, B Krauskopf… - … Transactions of the …, 2019 - royalsocietypublishing.org
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 …
climate systems at a conceptual level. An important aspect of these models is the existence …