Plastic deformation is a highly dissipative process that induces a variety of patterns such as
the cell structure in multislip conditions, the matrix structure and the persistent slip bands in …

Recent advances in the experimental and theoretical study of dynamics of neuronal
electrical firing activities are reviewed. Firstly, some experimental phenomena of neuronal …

We give a geometric analysis of canards of folded node type in singularly perturbed systems
with two-dimensional (2D) folded critical manifold using the blow-up technique. The …

Mixed mode oscillations (MMOs) occur when a dynamical system switches between fast and
slow motion and small and large amplitude. MMOs appear in a variety of systems in nature …

A phenomenon of the noise-induced oscillatory multistability in glycolysis is studied. As a
basic deterministic skeleton, we consider the two-dimensional Higgins model. The noise …

Three new routes to repetitive spiking, ie the delayed transcritical bifurcation, the delayed
supercritical pitchfork bifurcation and the delayed subcritical pitchfork bifurcation, are …

Based on actual neuronal firing activities, bursting in the Chay neuronal model is
considered, in which VK, reversal potentials for K+, VC, reversal potentials for Ca 2+, time …

In the current paper, we have investigated the generalized FitzHugh–Nagumo model. We
have shown that symmetric bursting behaviors of different types could be observed in this …

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 …

We present a mathematical analysis of the dynamics that underlies plateau bursting in
models of endocrine cells under variation of the location of the (unstable) equilibrium around …