We propose an overview of the modeling approaches for the mathematical description and
analysis of processes that combine continuous and discontinuous behavior, namely …

Stabilization by a periodic pulsed force of trajectories running away to infinity in the three-
dimensional Rössler system at a threshold of a saddle-node bifurcation, birth of equilibrium …

Pulse-coupled spiking neural networks are a powerful tool to gain mechanistic insights into
how neurons self-organize to produce coherent collective behavior. These networks use …

We study the multi-dimensional initial-boundary value problem for the semilinear
pseudoparabolic equation with a regular nonlinear minor term, which, in general, may be …

We study the multi-dimensional initial–boundary value problem for the quasilinear
pseudoparabolic equation with a regular nonlinear minor term, which models a non …

The exponential stabilization of stochastic neural networks in mean square sense with
saturated impulsive input is investigated in this paper. Firstly, the saturated term is handled …

We study the multi-dimensional Cauchy–Dirichlet problem for the p (x, t)-parabolic equation
with a regular nonlinear minor term, which models a non-instantaneous but very rapid …

We consider a pair of identical theta neurons in the active regime, each coupled to the other
via a delayed Dirac delta function. The network can support periodic solutions and we …

We study the two-dimensional Cauchy problem for the quasilinear pseudoparabolic
equation with a regular nonlinear minor term endowed with periodic initial data and …

We study the Cauchy problem with periodic initial data for the heat equation, which includes
a nonlocal in time integral term. This term models a fading memory effect and has the form of …