Birth and destruction of collective oscillations in a network of two populations of coupled type 1 neurons

DOI10.1063/5.0031630zbMath1458.34089arXiv2009.11589OpenAlexW3088469328MaRDI QIDQ5858773

Erik Andreas Martens, Benjamin Jüttner, Christian Henriksen

Publication date: 14 April 2021

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.11589

Mathematics Subject Classification ID

Neural biology (92C20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Uses Software

• MATCONT

Cites Work

• The dynamics of networks of identical theta neurons
• The dynamics of chimera states in heterogeneous Kuramoto networks
• Mathematical foundations of neuroscience
• Dynamics of pattern formation in lateral-inhibition type neural fields
• Elements of applied bifurcation theory.
• Constants of motion for superconducting Josephson arrays
• Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review
• Networks of theta neurons with time-varying excitability: macroscopic chaos, multistability, and final-state uncertainty
• Chimeras in random non-complete networks of phase oscillators
• Metastability and chimera states in modular delay and pulse-coupled oscillator networks
• Cross frequency coupling in next generation inhibitory neural mass models
• Controlling chimeras
• New features of the software M<scp>at</scp>C<scp>ont</scp>for bifurcation analysis of dynamical systems
• Parabolic Bursting in an Excitable System Coupled with a Slow Oscillation
• Firing Rate of the Noisy Quadratic Integrate-and-Fire Neuron
• Chimera states in two populations with heterogeneous phase-lag
• Chaos in Kuramoto oscillator networks
• Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators
• Low dimensional behavior of large systems of globally coupled oscillators
• Complete Classification of the Macroscopic Behavior of a Heterogeneous Network of Theta Neurons
• Basins of attraction for chimera states

This page was built for publication: Birth and destruction of collective oscillations in a network of two populations of coupled type 1 neurons