Multiscale dynamics in communities of phase oscillators

DOI10.1063/1.3672513zbMath1331.34051arXiv1112.0060OpenAlexW2048305211WikidataQ51391960 ScholiaQ51391960MaRDI QIDQ2787699

Edward Ott, Michelle Girvan, Dustin Anderson, Gilad Barlev, Ari Tenzer, Thomas M. jun. Antonsen

Publication date: 4 March 2016

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

Full work available at URL: https://arxiv.org/abs/1112.0060

Mathematics Subject Classification ID

Hierarchical systems (93A13) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Stability of manifolds of solutions to ordinary differential equations (34D35)

Related Items (8)

Resilience for coupled oscillatory power network via phase difference ⋮ Synchronization of a transmission line removal on power networks with positive and negative couplings ⋮ Influences of adding negative couplings between cliques of Kuramoto-like oscillators ⋮ Superperiodicity, chaos and coexisting orbits of ion-acoustic waves in a four-component nonextensive plasma ⋮ Impacts of node arrangements on synchronization of a ring oscillatory power network ⋮ Collective phase dynamics of globally coupled oscillators: noise-induced anti-phase synchronization ⋮ Adjusting synchronizability of coupled oscillatory power networks via feedback control schemes ⋮ Solitary states and partial synchrony in oscillatory ensembles with attractive and repulsive interactions

Cites Work

• The Structure and Function of Complex Networks
• Community structure in social and biological networks
• Chaos in Dynamical Systems
• Low dimensional behavior of large systems of globally coupled oscillators
• Long time evolution of phase oscillator systems
• Average dynamics of a driven set of globally coupled excitable units

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