Circular cumulant reductions for macroscopic dynamics of oscillator populations with non-Gaussian noise

DOI10.1063/5.0159982zbMATH Open1545.82012MaRDI QIDQ6553189

Anastasiya V. Dolmatova, Irina V. Tyulkina, Denis S. Goldobin

Publication date: 11 June 2024

Published in: Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Cites Work

• Chemical oscillations, waves, and turbulence
• Constants of motion for superconducting Josephson arrays
• Interplay of the mechanisms of synchronization by common noise and global coupling for a general class of limit-cycle oscillators
• A Method for Simulating Stable Random Variables
• Integrability of a globally coupled oscillator array
• Collective mode reductions for populations of coupled noisy oscillators
• Circular cumulant reductions for macroscopic dynamics of Kuramoto ensemble with multiplicative intrinsic noise
• Low dimensional behavior of large systems of globally coupled oscillators
• Long time evolution of phase oscillator systems
• Effect of Cauchy noise on a network of quadratic integrate-and-fire neurons with non-Cauchy heterogeneities
• Synchronization transitions and sensitivity to asymmetry in the bimodal Kuramoto systems with Cauchy noise
• Mean-field models of populations of quadratic integrate-and-fire neurons with noise on the basis of the circular cumulant approach
• Coherent oscillations in balanced neural networks driven by endogenous fluctuations
• Unnamed Item
• Unnamed Item
• Unnamed Item

Related Items (1)

Macroscopic behavior of populations of quadratic integrate-and-fire neurons subject to non-Gaussian white noise

This page was built for publication: Circular cumulant reductions for macroscopic dynamics of oscillator populations with non-Gaussian noise