PROPAGATING INTERFACES IN A TWO-LAYER BISTABLE NEURAL NETWORK

DOI10.1142/S0218127406015003zbMath1141.37385MaRDI QIDQ3510187

S. Morfu, V. B. Kazantsev, Jean Marie Bilbault, Vladimir I. Nekorkin, Patrick Marquié

Publication date: 2 July 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Smooth dynamical systems: general theory (37C99)

Related Items (2)

Hopf Bifurcation in Two Groups of Delay-Coupled Kuramoto Oscillators ⋮ Existence of traveling wave solutions in a stage structured cooperative system on higher-dimensional lattices

Cites Work

• Unnamed Item
• Chemical oscillations, waves, and turbulence
• Existence of traveling wavefront solutions for the discrete Nagumo equation
• Propagating waves in discrete bistable reaction-diffusion systems
• Multistability in networks of weakly coupled bistable units
• Wave propagation in mathematical models of striated cortex
• Oscillatory models of hippocampus: A study of spatio-temporal patterns of neural activity
• Travelling waves in chains of pulse-coupled integrate-and-fire oscillators with distributed delays
• Homogenization and propagation in the bistable equation
• Transition fronts and localized structures in bistable reaction-diffusion equations
• Spatial disorder and pattern formation in lattices of coupled bistable elements
• Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
• Stability of Traveling Wavefronts for the Discrete Nagumo Equation
• WAVE FRONT PROPAGATION AND ITS FAILURE IN COUPLED SYSTEMS OF DISCRETE BISTABLE CELLS MODELLED BY FITZHUGH-NAGUMO DYNAMICS
• Traveling fronts and wave propagation failure in an inhomogeneous neural network
• From periodic travelling waves to travelling fronts in the spike-diffuse-spike model of dendritic waves
• The evolution of synaptically generated waves in one- and two-dimensional domains

This page was built for publication: PROPAGATING INTERFACES IN A TWO-LAYER BISTABLE NEURAL NETWORK