Bursting is one of the fundamental rhythms that excitable cells can generate either in
response to incoming stimuli or intrinsically. It has been a topic of intense research in …

Many postgraduate students, postdocs and researchers ask me for 'textbook'references on
geometric singular perturbation theory and canard theory. Unfortunately, there is 'not much …

In this paper, a three-time scale plankton–fish singular perturbation system is proposed by
considering the Beddington–DeAngelis functional response and intraguild predation (IGP) …

Epilepsy is a dynamic and complex neurological disease affecting about 1% of the
worldwide population, among which 30% of the patients are drug-resistant. Epilepsy is …

We study a class of multi-parameter three-dimensional systems of ordinary differential
equations that exhibit dynamics on three distinct timescales. We apply geometric singular …

Mixed-mode oscillations (MMOs) are complex oscillatory behaviors of multiple-timescale
dynamical systems in which there is an alternation of large-amplitude and small-amplitude …

Abstract NaV1. 1 (SCN1A) is a voltage-gated sodium channel mainly expressed in
GABAergic neurons. Loss of function mutations of NaV1. 1 lead to epileptic disorders, while …

In contemporary society, social networks accelerate decision dynamics causing a rapid
switch of opinions in a number of fields, including the prevention of infectious diseases by …

In the present paper, complex bursting patterns caused by the coupling effect of different
frequency scales in the Rayleigh–van der Pol–Duffing oscillator (RVDPDO) driven by the …

Canards are a type of transient dynamics that occur in singularly perturbed systems, and
they are specific types of solutions with varied dynamic behaviours at the boundary region …