The simplest problem in the collective dynamics of neural networks: is synchrony stable?
From MaRDI portal
Publication:3515907
DOI10.1088/0951-7715/21/7/011zbMath1172.34034arXiv0810.4472OpenAlexW1986990399MaRDI QIDQ3515907
Publication date: 29 July 2008
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0810.4472
Neural networks for/in biological studies, artificial life and related topics (92B20) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Asymptotic properties of solutions to ordinary differential equations (34D05)
Related Items (14)
Synchronization in Pulse-Coupled Oscillators with Delayed Excitatory/Inhibitory Coupling ⋮ How synaptic weights determine stability of synchrony in networks of pulse-coupled excitatory and inhibitory oscillators ⋮ Guaranteeing global synchronization in networks with stochastic interactions ⋮ Complex networks: when random walk dynamics equals synchronization ⋮ Self-synchronization of the integrate-and-fire pacemaker model with continuous couplings ⋮ On the global synchronization of pulse-coupled oscillators interacting on chain and directed tree graphs ⋮ Isochronous dynamics in pulse coupled oscillator networks with delay ⋮ Imbalance of positive and negative links induces regularity ⋮ Analysis of firing behaviors in networks of pulse-coupled oscillators with delayed excitatory coupling ⋮ Pulse coupled oscillators and the phase resetting curve ⋮ Finite-time synchronization of competitive neural networks with mixed delays ⋮ The Solution of the Second Peskin Conjecture and Developments ⋮ Unnamed Item ⋮ Breakdown of order preservation in symmetric oscillator networks with pulse-coupling
This page was built for publication: The simplest problem in the collective dynamics of neural networks: is synchrony stable?
