Complete Classification of the Macroscopic Behavior of a Heterogeneous Network of Theta Neurons

From MaRDI portal
Publication:5378290

DOI10.1162/NECO_a_00525zbMath1448.92046OpenAlexW2083613130WikidataQ49018554 ScholiaQ49018554MaRDI QIDQ5378290

Ernest Barreto, Tanushree B. Luke, So, Paul

Publication date: 12 June 2019

Published in: Neural Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1162/neco_a_00525




Related Items (31)

Bump Attractors and Waves in Networks of Leaky Integrate-and-Fire NeuronsMathematical frameworks for oscillatory network dynamics in neuroscienceA mean field model for movement induced changes in the beta rhythmExact Neural Fields Incorporating Gap JunctionsPeriodic orbits in the Ott–Antonsen manifoldA New Frame for an Old (Phase) Portrait: Finding Rivers and Other Flow Features in the PlaneThe mathematics behind chimera statesTraveling waves in non-local pulse-coupled networksEffect of Cauchy noise on a network of quadratic integrate-and-fire neurons with non-Cauchy heterogeneitiesDegree assortativity in networks of spiking neuronsCooperative behavior between oscillatory and excitable units: the peculiar role of positive coupling-frequency correlationsOtt-Antonsen attractiveness for parameter-dependent oscillatory systemsUnderstanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a reviewTravelling waves in arrays of delay-coupled phase oscillatorsThe effects of within-neuron degree correlations in networks of spiking neuronsThe Winfree model with non-infinitesimal phase-response curve: Ott–Antonsen theoryComplexity reduction ansatz for systems of interacting orientable agents: Beyond the Kuramoto modelMoving bumps in theta neuron networksCross frequency coupling in next generation inhibitory neural mass modelsModeling the network dynamics of pulse-coupled neuronsFrequency and phase synchronization in large groups: Low dimensional description of synchronized clapping, firefly flashing, and cricket chirpingChaos in small networks of theta neuronsThe dynamics of networks of identical theta neuronsOn the interpretation of Dirac δ pulses in differential equations for phase oscillatorsControl of collective network chaosMathematical framework for breathing Chimera statesBirth and destruction of collective oscillations in a network of two populations of coupled type 1 neuronsChimeras in Two-Dimensional Domains: Heterogeneity and the Continuum LimitExplosive behaviour in networks of Winfree oscillatorsRate chaos and memory lifetime in spiking neural networksBifurcation of the neuronal population dynamics of the modified theta model: transition to macroscopic gamma oscillation



Cites Work


This page was built for publication: Complete Classification of the Macroscopic Behavior of a Heterogeneous Network of Theta Neurons