We consider a three-variable forest pest model, proposed by Rinaldi & Muratori (1992) [Rinaldi, S., Muratori, S., 1992. Limit cycles in slow-fast forest-pest models. Theor. Popul. Biol. 41, 26-43]. The model allows relaxation oscillations where long pest-free periods are interspersed with outbreaks of high pest concentration. For small values of the timescale of the young trees, the model can b...

We analyze a piecewise-linear FitzHugh-Nagumo model. The system exhibits a canard near which both small amplitude and large amplitude periodic orbits exist. The addition of small noise induces mixed-mode oscillations (MMOs) in the vicinity of the canard point. We determine the effect of each model parameter on the stochastically driven MMOs. In particular we show that any parameter variation (s...

Applying a low current to a recent biophysical model for inhibitory neurons in the cortex leads to mixed mode oscillations (MMOs), a mixture of spikes and subthreshold oscillations. At higher currents, the neurons fire regularly. We show that a specific slow potassium current underlies this behavior. Next we reduce this five-dimensional biophysical model for an inhibitory neuron to three dimens...

Canard configuration on fighter planes is essential for regulating flow and the occurrence of vortex interactions main wing, one which to delay stall. Stall delays are useful when aircraft making maneuvering or short-landing. This study observed effect canard various models. Fighter models represented different configurations, such as Sukhoi SU-30 MKI, Chengdu J-10, Eurofighter Typhoon. Water t...

Canards are a type of transient dynamics that occur in singularly perturbed systems, and they specific types solutions with varied dynamic behaviours at the boundary region. This paper introduces emergence development canard phenomena neuron model. The singular perturbation system general model is investigated, link between transition from to summarised. First, relationship folded saddle-type p...