Repulsively coupled Kuramoto-Sakaguchi phase oscillators ensemble subject to common noise

DOI10.1063/1.5084144zbMath1411.34063arXiv1812.05883OpenAlexW3103127433WikidataQ92714505 ScholiaQ92714505MaRDI QIDQ4631849

Chunming Zheng, Chen Chris Gong, Ralf Tönjes, Arkadij S. Pikovskij

Publication date: 23 April 2019

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

Full work available at URL: https://arxiv.org/abs/1812.05883

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ordinary differential equations and systems with randomness (34F05) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (5)

Operator approach in nonlinear stochastic open quantum physics ⋮ A coupled oscillator model for the origin of bimodality and multimodality ⋮ Controlling synchrony in an array of the globally coupled Fitzhugh-Nagumo type oscillators ⋮ Competitive interplay of repulsive coupling and cross-correlated noises in bistable systems ⋮ Fisher information and synchronisation transitions: a case-study of a finite size multi-network Kuramoto-Sakaguchi system

Cites Work

• Unnamed Item
• Unnamed Item
• Dynamics of heterogeneous oscillator ensembles in terms of collective variables
• General order conditions for stochastic Runge-Kutta methods for both commuting and non-commuting stochastic ordinary differential equation systems
• Constants of motion for superconducting Josephson arrays
• Dynamics of weakly inhomogeneous oscillator populations: perturbation theory on top of Watanabe–Strogatz integrability
• Numerical methods for strong solutions of stochastic differential equations: an overview
• Lyapunov Exponents
• Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators
• 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
• On the statistical theory of electromagnetic waves in a fluctuating medium (I)

This page was built for publication: Repulsively coupled Kuramoto-Sakaguchi phase oscillators ensemble subject to common noise