Mechanisms for Frequency Control in Neuronal Competition Models

DOI10.1137/070705842zbMath1167.34351OpenAlexW2087205232WikidataQ42410205 ScholiaQ42410205MaRDI QIDQ3624462

John Rinzel, Asya Shpiro, Nava Rubin, Rodica Curtu

Publication date: 30 April 2009

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

Full work available at URL: http://europepmc.org/articles/pmc2954747

zbMATH Keywords

Hopf bifurcationwinner-take-allcentral pattern generatorsbinocular rivalryantiphase oscillationsrelease and escapeslow negative feedback

Mathematics Subject Classification ID

Feedback control (93B52) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural networks for/in biological studies, artificial life and related topics (92B20) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Normal forms for dynamical systems (37G05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (13)

Symmetry-breaking in a rate model for a biped locomotion central pattern generator ⋮ Effects of Lévy noise in a neuronal competition model ⋮ Synchronization of weakly coupled canard oscillators ⋮ Methods to assess binocular rivalry with periodic stimuli ⋮ A hierarchical model of perceptual multistability involving interocular grouping ⋮ Oscillation death and revival by coupling with damped harmonic oscillator ⋮ Oscillation quenching mechanisms: amplitude vs. oscillation death ⋮ Derived patterns in binocular rivalry networks ⋮ Network symmetry and binocular rivalry experiments ⋮ Effects of time-dependent stimuli in a competitive neural network model of perceptual rivalry ⋮ Singular Hopf bifurcations and mixed-mode oscillations in a two-cell inhibitory neural network ⋮ Auditory streaming emerges from fast excitation and slow delayed inhibition ⋮ Balanced Colorings and Bifurcations in Rivalry and Opinion Networks

Uses Software

• XPPAUT

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