[HTML][HTML] Saddle–node canard cycles in slow–fast planar piecewise linear differential systems

V Carmona, S Fernández-García, AE Teruel - Nonlinear Analysis: Hybrid …, 2024 - Elsevier
By applying a singular perturbation approach, canard explosions exhibited by a general
family of singularly perturbed planar Piecewise Linear (PWL) differential systems are …

Super-Explosion and Inverse Canard Explosion in a Piecewise-Smooth Slow–Fast Leslie–Gower Model

H Zhang, Y Cai, J Shen - Qualitative Theory of Dynamical Systems, 2024 - Springer
In this paper, we study a slow–fast Leslie-type predator–prey model with piecewise-linear
functional response. Our approach is based on the geometric singular perturbation theory …

Slow passage through a transcritical bifurcation in piecewise linear differential systems: Canard explosion and enhanced delay

A Pérez-Cervera, AE Teruel - Communications in Nonlinear Science and …, 2024 - Elsevier
In this paper we analyse the phenomenon of the slow passage through a transcritical
bifurcation with special emphasis in the maximal delay zd (λ, ɛ) as a function of the …

Bursting oscillations in dry friction system under external excitation

Y Sun, Z Zhang - Pramana, 2024 - Springer
In this paper, a system containing switching manifolds is constructed based on a non-linear
conveyor belt model by introducing a periodic external excitation term. When the frequency …

[HTML][HTML] Preface to VSI: Advances in nonsmooth dynamics

MR Jeffrey, PT Piiroinen, DJW Simpson - Physica D: Nonlinear Phenomena, 2023 - Elsevier
Abstract This Special Issue on nonsmooth dynamics brings together recent developments in
nonsmooth dynamics, from applications in control engineering and mechanics, economics …

[引用][C] Saddle-node canard cycles in slow-fast planar piecewise linear differential systems

V Carmona Centeno, S Fernández García… - 2024 - Elsevier