Analysis on Patterns of Globally Coupled Phase Oscillators with Attractive and Repulsive Interactions

DOI10.1088/0253-6102/64/5/507zbMath1327.34139OpenAlexW2510218058MaRDI QIDQ3458696

Xin Fu, Unnamed Author, Xiao-Dong Ruan, Peng-fei Wang

Publication date: 21 December 2015

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/64/5/507

zbMATH Keywords

patternphase oscillatorHS model

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Stability theory for smooth dynamical systems (37C75) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Cites Work

• Dynamics of heterogeneous oscillator ensembles in terms of collective variables
• Chemical oscillations, waves, and turbulence
• Constants of motion for superconducting Josephson arrays
• Coherence stability and effect of random natural frequencies in populations of coupled oscillators
• Synchronization in Networks of Excitatory and Inhibitory Neurons with Sparse, Random Connectivity
• Long time evolution of phase oscillator systems

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