Regular and irregular patterns of self-localized excitation in arrays of coupled phase oscillators

DOI10.1063/1.4921297zbMath1374.34125arXiv1501.07720OpenAlexW3101674314WikidataQ50906557 ScholiaQ50906557MaRDI QIDQ4591672

Jan Sieber, O. E. Omel'chenko, Matthias Wolfrum

Publication date: 17 November 2017

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

Full work available at URL: https://arxiv.org/abs/1501.07720

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (7)

Bump Attractors and Waves in Networks of Leaky Integrate-and-Fire Neurons ⋮ Existence and stability of chimera states in a minimal system of phase oscillators ⋮ The mathematics behind chimera states ⋮ Chimeras ⋮ Nonstationary coherence–incoherence patterns in nonlocally coupled heterogeneous phase oscillators ⋮ Generalized synchronization between chimera states ⋮ Surfing the edge: using feedback control to find nonlinear solutions

Cites Work

• Stationary Bumps in Networks of Spiking Neurons
• Weak chimeras in minimal networks of coupled phase oscillators
• Chaos in Dynamical Systems
• Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators

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