Transient circulant clusters in two-population network of Kuramoto oscillators with different rules of coupling adaptation

DOI10.1063/5.0055578zbMath1468.34067OpenAlexW3177728061MaRDI QIDQ5011734

D. V. Kasatkin, Vladimir I. Nekorkin

Publication date: 27 August 2021

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

Full work available at URL: https://doi.org/10.1063/5.0055578

Mathematics Subject Classification ID

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

Related Items

Joins of circulant matrices, On the joins of group rings, Adaptive dynamical networks

Cites Work

• The Kuramoto model in complex networks
• Chemical oscillations, waves, and turbulence
• The dynamics of chimera states in heterogeneous Kuramoto networks
• Modeling complex systems with adaptive networks
• The role of timescale separation in oscillatory ensembles with competitive coupling
• The third type of chaos in a system of two adaptively coupled phase oscillators
• Emergence and synchronization of a reversible core in a system of forced adaptively coupled Kuramoto oscillators
• Dynamics of globally coupled oscillators: Progress and perspectives
• Chaos in Kuramoto oscillator networks
• Hierarchical frequency clusters in adaptive networks of phase oscillators
• Chimera-like behavior in a heterogeneous Kuramoto model: The interplay between attractive and repulsive coupling
• Synchronization in complex oscillator networks and smart grids
• On the intersection of a chaotic attractor and a chaotic repeller in the system of two adaptively coupled phase oscillators
• Solitary states and partial synchrony in oscillatory ensembles with attractive and repulsive interactions
• Chimera states in heterogeneous networks