Anticipation via canards in excitable systems
From MaRDI portal
Publication:4622728
DOI10.1063/1.5050018zbMath1406.92084OpenAlexW2908948359WikidataQ61606353 ScholiaQ61606353MaRDI QIDQ4622728
Elif Köksal Ersöz, Claudio R. Mirasso, Serafim Rodrigues, Mathieu Desroches
Publication date: 13 February 2019
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/20.500.11824/918
Related Items
Mixed mode oscillations induced by bi-stability and fractal basins in the FGP plate under slow parametric and resonant external excitations ⋮ Slow-fast dynamics in the truss core sandwich plate under excitations with high and low frequencies ⋮ Stochastic spiking-bursting transitions in a neural birhythmic 3D model with the Lukyanov-Shilnikov bifurcation ⋮ Asymptotic expansions for a family of non-generic canards using parametric representation ⋮ Canard-induced complex oscillations in an excitatory network ⋮ Study of a homoclinic canard explosion from a degenerate center ⋮ How noise transforms spiking into bursting in a neuron model having the Lukyanov-Shilnikov bifurcation ⋮ Noise-induced toroidal excitability in neuron model ⋮ High-order study of the canard explosion in an aircraft ground dynamics model ⋮ Asymptotic expansions for a degenerate canard explosion ⋮ Analytical approximation of the canard explosion in a van der Pol system with the nonlinear time transformation method
Uses Software
Cites Work
- Unnamed Item
- Canard explosion in delay differential equations
- Inflection, canards and excitability threshold in neuronal models
- Chasse au canard
- The canard unchained or how fast/slow dynamical systems bifurcate
- Mathematical foundations of neuroscience
- Synchronization of weakly coupled canard oscillators
- Inertial and slow manifolds for delay equations with small delays.
- Excitable neurons, firing threshold manifolds and canards
- Spike-adding in parabolic bursters: the role of folded-saddle canards
- Canards for a reduction of the Hodgkin-Huxley equations
- Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions
- Canards, Folded Nodes, and Mixed-Mode Oscillations in Piecewise-Linear Slow-Fast Systems
- Numerical Continuation Techniques for Planar Slow-Fast Systems
- Simulating, Analyzing, and Animating Dynamical Systems
- Delay induced canards in a model of high speed machining
- Singular Hopf Bifurcation to Relaxation Oscillations. II
- Anticipated and zero-lag synchronization in motifs of delay-coupled systems
- Singular Hopf Bifurcation to Relaxation Oscillations
- Relaxation oscillations including a standard chase on French ducks
- Canard cycles and center manifolds
- Synchronization in chaotic systems
- Estimating parameters by anticipating chaotic synchronization
- Relaxation oscillation and canard explosion
