Deep neural networks are among the most widely applied machine learning tools showing
outstanding performance in a broad range of tasks. We present a method for folding a deep …

As widely known, the basic reproduction number plays a key role in weighing birth/infection
and death/recovery processes in several models of population dynamics. In this general …

Grazing events may create coexisting attractors and cause complex dynamics in piecewise-
smooth dynamical systems. This paper studies the control of grazing-induced multistability in …

The vibro-impact capsule system is a self-propelled mechanism that has abundant
coexisting attractors and moves rectilinearly under periodic excitation when overcoming …

Due to finite information transmission and processing time between agents, delays are
inevitable and should therefore be incorporated into flocking modeling. To shed light on …

We consider the question of when delay systems, which are intrinsically infinite dimensional,
can be represented by finite dimensional systems. Specifically, we give conditions for when …

We study a scalar delay differential equation (DDE) with two delayed feedback terms that
depend linearly on the state. The associated constant-delay DDE, obtained by freezing the …

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 consider a mathematical model describing the maturation process of stem cells up to
fully mature cells. The model is formulated as a differential equation with state-dependent …

In this paper, we consider a numerical threshold of a linearly implicit Euler method for a
nonlinear infection-age SIR model. It is shown that the method shares the equilibria and …