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

Dynamics of a Piecewise-Linear Morris–Lecar Model: Bifurcations and Spike Adding (Q6493944)

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scientific article; zbMATH DE number 7839650

Language	Label	Description	Also known as
English	Dynamics of a Piecewise-Linear Morris–Lecar Model: Bifurcations and Spike Adding	scientific article; zbMATH DE number 7839650

Statements

scholarly article

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

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Mathieu Desroches

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Antonio E. Teruel

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Journal of Nonlinear Science

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publication date

29 April 2024

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MaRDI profile type

MaRDI publication profile

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The Slow Passage through a Hopf Bifurcation: Delay, Memory Effects, and Resonance

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Reversible periodic orbits in a class of 3D continuous piecewise linear systems of differential equations

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Saddle-node of limit cycles in planar piecewise linear systems and applications

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Spike-adding canard explosion in a class of square-wave bursters

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Neuronal Networks with Gap Junctions: A Study of Piecewise Linear Planar Neuron Models

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Mixed-mode bursting oscillations: Dynamics created by a slow passage through spike-adding canard explosion in a square-wave burster

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Canards, Folded Nodes, and Mixed-Mode Oscillations in Piecewise-Linear Slow-Fast Systems

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Canards in a minimal piecewise-linear square-wave burster

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Slow passage through homoclinic orbits for the unfolding of a saddle-center bifurcation and the change in the adiabatic invariant

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Jump bifurcations in some degenerate planar piecewise linear differential systems with three zones

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On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line

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Geometric singular perturbation theory for ordinary differential equations

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Canard solutions in planar piecewise linear systems with three zones

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Canonical Discontinuous Planar Piecewise Linear Systems

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Computing Slow Manifolds of Saddle Type

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NEURAL EXCITABILITY, SPIKING AND BURSTING

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Design of external forces for eliminating traveling wave in a piecewise linear FitzHugh–Nagumo model

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Relaxation oscillation and canard explosion

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Limit cycles for planar piecewise linear differential systems via first integrals.

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HORSESHOES NEAR HOMOCLINIC ORBITS FOR PIECEWISE LINEAR DIFFERENTIAL SYSTEMS IN ℝ<sup>3</sup>

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Uniqueness of limit cycles for sewing planar piecewise linear systems

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Slow-fast \(n\)-dimensional piecewise linear differential systems

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Fast-slow bursters in the unfolding of a high codimension singularity and the ultra-slow transitions of classes

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METHODS OF THE QUALITATIVE THEORY FOR THE HINDMARSH–ROSE MODEL: A CASE STUDY – A TUTORIAL

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Chaotic Spikes Arising from a Model of Bursting in Excitable Membranes

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Identifiers

10.1007/s00332-024-10029-3

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6493944

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