We study a generic, real analytic unfolding of a planar diffeomorphism having a fixed point
with unipotent linear part. In the analogue for vector fields an open parameter domain is …

We analyze the transition from simple to complex oscillatory behaviour in a three-variable
biochemical system that consists of the coupling in series of two autocatalytic enzyme …

Melnikov's method is applied to an SIR model of epidemic dynamics with a periodically
modulated nonlinear incidence rate. This analysis establishes mathematically, for the first …

Stochastic resonance constitutes one of the few plausible mechanisms capable of
explaining the recurrent climatic changes that occurred on earth during the Quaternary era …

Circadian rhythms occur in nearly all living organisms with a period close to 24 h. These
rhythms constitute an important class of biological oscillators which present the …

The periodically perturbed oscillations in the isothermal CO oxidation on a Pt (110) surface
at low pressure were modeled using the recently developed reconstruction model of kinetic …

Three dynamic elements, DE‐1, DE‐2, and DE‐3, are identified for the four‐species Olsen
model of the peroxidase–oxidase reaction. DE‐1 is the damped Lotka oscillator which tends …

The purpose of this paper is to study a SIR model of epidemic dynamics with a periodically
modulated nonlinear incidence rate. We must go, for the first time, through a series of …

Two dynamic elements of the Willamowski–Rössler network are identified: one of which is a
Lotka–Volterra oscillator involving two autocatalytic species X and Y, while the other is a …

The effect of a periodic forcing on the mean ocean temperature-sea ice system is analyzed
in a region of parameters in which this latter system gives rise to a homoclinic bifurcation …