Emergence of Canard induced mixed mode oscillations in a slow-fast dynamics of a biophysical excitable model
From MaRDI portal
Publication:2680063
DOI10.1016/j.chaos.2022.112669OpenAlexW4297172705MaRDI QIDQ2680063
Publication date: 26 January 2023
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112669
Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Canard solutions to ordinary differential equations (34E17)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Three time-scales in an extended Bonhoeffer-van der Pol oscillator
- Chasse au canard
- A phantom bursting mechanism for episodic bursting
- Canard phenomenon in a slow-fast modified Leslie-Gower model
- Mixed-mode oscillations in a three-store calcium dynamics model
- Complex mixed-mode oscillations based on a modified Rayleigh-Duffing oscillator driven by low-frequency excitations
- The hidden, period-adding, mixed-mode oscillations and control in a HR neuron under electromagnetic induction
- Pseudo-plateau bursting and mixed-mode oscillations in a model of developing inner hair cells
- Dynamics and geometric desingularization of the multiple time scale FitzHugh Nagumo Rinzel model with fold singularity
- Dynamical systems analysis of spike-adding mechanisms in transient bursts
- Localized and asynchronous patterns via canards in coupled calcium oscillators
- Mixed mode oscillations as a mechanism for pseudo-plateau bursting
- Synchronization of Elliptic Bursters
- Mixed-mode bursting oscillations: Dynamics created by a slow passage through spike-adding canard explosion in a square-wave burster
- Canards in piecewise-linear systems: explosions and super-explosions
- Weakly coupled two-slow–two-fast systems, folded singularities and mixed mode oscillations
- À propos de canards (Apropos canards)
- Mixed-Mode Oscillations with Multiple Time Scales
- Propagation of bursting oscillations
- Mixed-Mode Oscillations in Three Time-Scale Systems: A Prototypical Example
- The Geometry of Slow Manifolds near a Folded Node
- Canard Induced Mixed-Mode Oscillations in a Medial Entorhinal Cortex Layer II Stellate Cell Model
- Mixed mode oscillations and phase locking in coupled FitzHugh-Nagumo model neurons
- Existence and Bifurcation of Canards in $\mathbbR^3$ in the Case of a Folded Node
- Analysis of a Canard Mechanism by Which Excitatory Synaptic Coupling Can Synchronize Neurons at Low Firing Frequencies
- Mixed Mode Oscillations and Synchronous Activity in Noise Induced Modified Morris–Lecar Neural System
- The selection of mixed-mode oscillations in a Hodgkin-Huxley model with multiple timescales
- Mixed-mode oscillations in a three time-scale model for the dopaminergic neuron
- Mixed-mode oscillations and slow manifolds in the self-coupled FitzHugh-Nagumo system
- Computing Slow Manifolds of Saddle Type
- Shilnikov Homoclinic Bifurcation of Mixed-Mode Oscillations
- Nonlinear Dynamics of Neuronal Excitability, Oscillations, and Coincidence Detection
- Mixed-mode dynamics of certain bistable oscillators: behavioural mapping, approximations for motion and links with van der Pol oscillators
- MATCONT
- NEURAL EXCITABILITY, SPIKING AND BURSTING
- Bursting
- Canards in \(\mathbb{R}^3\)