Stochasticity can play an important role in the dynamics of biologically relevant populations.
These span a broad range of scales: from intra-cellular populations of molecules to …

We consider the stochastic dynamics of escape in an excitable system, the FitzHugh-
Nagumo (FHN) neuronal model, for different classes of excitability. We discuss, first, the …

Established populations often exhibit oscillations in their sizes that, in the deterministic
theory, correspond to a limit cycle in the space of population sizes. If a population is isolated …

We consider a response of nonlinear dynamic systems on random disturbances. A
stochastic sensitivity of regular and chaotic attractors of discrete systems with parametric …

A response of chaotic discrete-time dynamical systems on parametric random disturbances
is considered. For two-dimensional stochastic systems with non-invertible maps, a …

The climate system as well as ecosystems might undergo relatively sudden qualitative
changes in the dynamics when environmental parameters or external forcings vary due to …

Most analytic theories describing electrostatically driven ion transport through water-filled
nanopores assume that the corresponding permeation barriers are bias-independent. While …

We analyze selective ionic conduction through an artificial nanopore in a single graphene
sheet, using molecular dynamics simulations and the prehistory probability distribution. We …

Hurricane Katrina was the costliest, deadliest, and most destructive catastrophe in US
history. Following the 2005 disaster, the economy of New Orleans, Louisiana, eroded. The …

The effect of damping and the shape of four different periodic forces on nonescape
dynamics in Duffing oscillator with double-hump potential is studied. Particularly, we …