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 Neurons ⋮ Mathematical frameworks for oscillatory network dynamics in neuroscience ⋮ A mean field model for movement induced changes in the beta rhythm ⋮ Exact Neural Fields Incorporating Gap Junctions ⋮ Periodic orbits in the Ott–Antonsen manifold ⋮ A New Frame for an Old (Phase) Portrait: Finding Rivers and Other Flow Features in the Plane ⋮ The mathematics behind chimera states ⋮ Traveling waves in non-local pulse-coupled networks ⋮ Effect of Cauchy noise on a network of quadratic integrate-and-fire neurons with non-Cauchy heterogeneities ⋮ Degree assortativity in networks of spiking neurons ⋮ Cooperative behavior between oscillatory and excitable units: the peculiar role of positive coupling-frequency correlations ⋮ Ott-Antonsen attractiveness for parameter-dependent oscillatory systems ⋮ Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review ⋮ Travelling waves in arrays of delay-coupled phase oscillators ⋮ The effects of within-neuron degree correlations in networks of spiking neurons ⋮ The Winfree model with non-infinitesimal phase-response curve: Ott–Antonsen theory ⋮ Complexity reduction ansatz for systems of interacting orientable agents: Beyond the Kuramoto model ⋮ Moving bumps in theta neuron networks ⋮ Cross frequency coupling in next generation inhibitory neural mass models ⋮ Modeling the network dynamics of pulse-coupled neurons ⋮ Frequency and phase synchronization in large groups: Low dimensional description of synchronized clapping, firefly flashing, and cricket chirping ⋮ Chaos in small networks of theta neurons ⋮ The dynamics of networks of identical theta neurons ⋮ On the interpretation of Dirac δ pulses in differential equations for phase oscillators ⋮ Control of collective network chaos ⋮ Mathematical framework for breathing Chimera states ⋮ Birth and destruction of collective oscillations in a network of two populations of coupled type 1 neurons ⋮ Chimeras in Two-Dimensional Domains: Heterogeneity and the Continuum Limit ⋮ Explosive behaviour in networks of Winfree oscillators ⋮ Rate chaos and memory lifetime in spiking neural networks ⋮ Bifurcation of the neuronal population dynamics of the modified theta model: transition to macroscopic gamma oscillation
Cites Work
- Dynamics of heterogeneous oscillator ensembles in terms of collective variables
- Chemical oscillations, waves, and turbulence
- Self-organized partially synchronous dynamics in populations of nonlinearly coupled oscillators
- The analysis of synaptically generated traveling waves
- Amplitude expansions for instabilities in populations of globally-coupled oscillators
- Onset of cooperative entrainment in limit-cycle oscillators with uniform all-to-all interactions: Bifurcation of the order function
- Collective properties of neural networks: A statistical physics approach
- Networks of theta neurons with time-varying excitability: macroscopic chaos, multistability, and final-state uncertainty
- Regular Traveling Waves in a One-Dimensional Network of Theta Neurons
- Parabolic Bursting in an Excitable System Coupled with a Slow Oscillation
- Asynchronous States and the Emergence of Synchrony in Large Networks of Interacting Excitatory and Inhibitory Neurons
- Low dimensional behavior of large systems of globally coupled oscillators
- Long time evolution of phase oscillator systems
- Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action
- Low dimensional description of pedestrian-induced oscillation of the Millennium Bridge
- Invariant submanifold for series arrays of Josephson junctions
- Generating macroscopic chaos in a network of globally coupled phase oscillators
- Average dynamics of a driven set of globally coupled excitable units
- Elements of applied bifurcation theory
This page was built for publication: Complete Classification of the Macroscopic Behavior of a Heterogeneous Network of Theta Neurons