Dynamics of a Piecewise-Linear Morris–Lecar Model: Bifurcations and Spike Adding

Cites Work

Reversible periodic orbits in a class of 3D continuous piecewise linear systems of differential equations
On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line
Fast-slow bursters in the unfolding of a high codimension singularity and the ultra-slow transitions of classes
Slow-fast \(n\)-dimensional piecewise linear differential systems
Geometric singular perturbation theory for ordinary differential equations
Limit cycles for planar piecewise linear differential systems via first integrals.
Saddle-node of limit cycles in planar piecewise linear systems and applications
Spike-adding canard explosion in a class of square-wave bursters
Uniqueness of limit cycles for sewing planar piecewise linear systems
Jump bifurcations in some degenerate planar piecewise linear differential systems with three zones
Mixed-mode bursting oscillations: Dynamics created by a slow passage through spike-adding canard explosion in a square-wave burster
Canard solutions in planar piecewise linear systems with three zones
Canards, Folded Nodes, and Mixed-Mode Oscillations in Piecewise-Linear Slow-Fast Systems
HORSESHOES NEAR HOMOCLINIC ORBITS FOR PIECEWISE LINEAR DIFFERENTIAL SYSTEMS IN ℝ³
Neuronal Networks with Gap Junctions: A Study of Piecewise Linear Planar Neuron Models
Chaotic Spikes Arising from a Model of Bursting in Excitable Membranes
Canards in a minimal piecewise-linear square-wave burster
The Slow Passage through a Hopf Bifurcation: Delay, Memory Effects, and Resonance
Computing Slow Manifolds of Saddle Type
Design of external forces for eliminating traveling wave in a piecewise linear FitzHugh–Nagumo model
METHODS OF THE QUALITATIVE THEORY FOR THE HINDMARSH–ROSE MODEL: A CASE STUDY – A TUTORIAL
Canonical Discontinuous Planar Piecewise Linear Systems
NEURAL EXCITABILITY, SPIKING AND BURSTING
Relaxation oscillation and canard explosion
Slow passage through homoclinic orbits for the unfolding of a saddle-center bifurcation and the change in the adiabatic invariant

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