Neural Fields with Rebound Currents: Novel Routes to Patterning

DOI10.1137/20M1364710zbMath1475.92018OpenAlexW3199479137MaRDI QIDQ5164895

Yi Ming Lai, Sunil Modhara, Rüdiger Thul, Stephen Coombes

Publication date: 15 November 2021

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1364710

zbMATH Keywords

synchronyEvans functionpattern formationperiodic traveling wavesneural fieldnonsmooth dynamical systems

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Developmental biology, pattern formation (92C15) Traveling wave solutions (35C07)

Cites Work

• Unnamed Item
• An analysis of waves underlying grid cell firing in the medial enthorinal cortex
• The dynamics of neural fields on bounded domains: an interface approach for Dirichlet boundary conditions
• Calculation of Lyapunov exponents for dynamic systems with discontinuities.
• Feedback inhibition and throughput properties of an integrate-and-fire-or-burst network model of retinogeniculate transmission
• Dynamics of pattern formation in lateral-inhibition type neural fields
• Waves, bumps, and patterns in neural field theories
• Propagating Activity Patterns in Thalamic Neuronal Networks
• Spatially Structured Activity in Synaptically Coupled Neuronal Networks: I. Traveling Fronts and Pulses
• Spatiotemporal dynamics of continuum neural fields
• BIFURCATIONS IN THE FAST DYNAMICS OF NEURONS: IMPLICATIONS FOR BURSTING
• Evans Functions for Integral Neural Field Equations with Heaviside Firing Rate Function
• Heaviside World: Excitation and Self-Organization of Neural Fields
• Geometric Singular Perturbation Theory Beyond the Standard Form
• Neural Fields

This page was built for publication: Neural Fields with Rebound Currents: Novel Routes to Patterning