Circular cumulant reductions for macroscopic dynamics of Kuramoto ensemble with multiplicative intrinsic noise

DOI10.1088/1751-8121/ab6b90OpenAlexW3101837631WikidataQ125170805 ScholiaQ125170805MaRDI QIDQ5061346

Anastasiya V. Dolmatova, Denis S. Goldobin

Publication date: 12 January 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.07021

zbMATH Keywords

multiplicative noiseKuramoto modelOtt-Antonsen ansatzcircular cumulantsmacroscopic model reductions

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (2)

Effect of noise on the collective dynamics of a heterogeneous population of active rotators ⋮ Collective in-plane magnetization in a two-dimensional XY macrospin system within the framework of generalized Ott–Antonsen theory

Cites Work

• Unnamed Item
• Anharmonic resonances with recursive delay feedback
• Chemical oscillations, waves, and turbulence
• Handbook of stochastic methods for physics, chemistry and the natural sciences
• Constants of motion for superconducting Josephson arrays
• 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
• Interplay of the mechanisms of synchronization by common noise and global coupling for a general class of limit-cycle oscillators
• Partially coherent twisted states in arrays of coupled phase oscillators
• Chimera patterns in the Kuramoto–Battogtokh model
• Stochastic Synchrony of Chaos in a Pulse-Coupled Neural Network with Both Chemical and Electrical Synapses Among Inhibitory Neurons
• Integrability of a globally coupled oscillator array
• Collective mode reductions for populations of coupled noisy oscillators
• Simple and complex chimera states in a nonlinearly coupled oscillatory medium
• The mathematics behind chimera states
• Dynamics of globally coupled oscillators: Progress and perspectives
• Travelling waves in arrays of delay-coupled phase oscillators
• Traveling chimera states
• 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
• Chimeras in Two-Dimensional Domains: Heterogeneity and the Continuum Limit

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