The interactions between mathematics and physiology have a long and illustrious history, of
which the study of calcium signalling is but a small chapter. Nevertheless, for those involved …

In this paper, we review several results from singularly perturbed differential equations with
multiple small parameters. In addition, we develop a general conceptual framework to …

In this paper, we introduce a memristor model and a meminductor model and design the
corresponding emulator circuits for imitating their characteristics. By employing the two …

In this paper, the bursting oscillation phenomenon in coupled systems with two time scales
is introduced. Firstly, several types of bifurcation are briefly introduced: fold bifurcation, Hopf …

Pseudo-plateau bursting is a type of oscillatory waveform associated with mixed mode
dynamics in slow/fast systems and commonly found in neural bursting models. In a recent …

Bursting oscillations in systems with multi-frequency slow excitations reflect multi-timescale
dynamics. As there exist many kinds of multiple periodic excitations in actual dynamical …

In this paper, multi-timescale dynamics and the formation mechanism of a 3D non-
autonomous system with two slowly varying periodic excitations are systematically …

The identification of nonlinear dynamics of bursting patterns related to multiple time scales
and pathology of brain tissues is still an open problem. In the present paper, representative …

The bursting oscillation is a fast-slow oscillation. A complex four-dimensional coupled
Mathieu-van der Pol oscillator is analyzed to investigate the bursting oscillations. The …

Neuronal bursting is an electrophysiological behavior participating in physiological or
pathological functions and a complex nonlinear behavior alternating between burst and …