Bottom-up approach to torus bifurcation in neuron models

DOI10.1063/1.5042078zbMath1466.92022arXiv1805.11719OpenAlexW3104614380WikidataQ58590107 ScholiaQ58590107MaRDI QIDQ4556555

Huiwen Ju, Alexander B. Neiman, Andrej L. Shil'nikov

Publication date: 16 November 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.11719

Mathematics Subject Classification ID

Neural biology (92C20)

Related Items (11)

Stochastic spiking-bursting transitions in a neural birhythmic 3D model with the Lukyanov-Shilnikov bifurcation ⋮ Computational analysis of a 9D model for a small DRG neuron ⋮ A survey on the blow-up method for fast-slow systems ⋮ How noise transforms spiking into bursting in a neuron model having the Lukyanov-Shilnikov bifurcation ⋮ Noise-induced toroidal excitability in neuron model ⋮ Dynamics of a neuron-glia system: the occurrence of seizures and the influence of electroconvulsive stimuli. A mathematical and numerical study ⋮ Dynamics and bifurcations in multistable 3-cell neural networks ⋮ Dynamics of coupled generators of quasiperiodic oscillations: different types of synchronization and other phenomena ⋮ Stochastic Bifurcations, Chaos and Phantom Attractors in the Langford System with Tori ⋮ Canonical models for torus canards in elliptic bursters ⋮ Dynamic mechanism of multiple bursting patterns in a whole-cell multiscale model with calcium oscillations

Uses Software

• MATCONT
• Matlab

Cites Work

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• MATCONT
• NEURAL EXCITABILITY, SPIKING AND BURSTING

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