Simple and complex chimera states in a nonlinearly coupled oscillatory medium

DOI10.1063/1.5011678zbMath1390.34124OpenAlexW2796029527WikidataQ92448647 ScholiaQ92448647MaRDI QIDQ4565989

Grigory V. Osipov, Lev A. Smirnov, Maxim I. Bolotov, Arkadij S. Pikovskij

Publication date: 13 June 2018

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

Full work available at URL: https://doi.org/10.1063/1.5011678

Mathematics Subject Classification ID

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)

Related Items (6)

Circular cumulant reductions for macroscopic dynamics of Kuramoto ensemble with multiplicative intrinsic noise ⋮ Variety of rotation modes in a small chain of coupled pendulums ⋮ Nonstationary coherence–incoherence patterns in nonlocally coupled heterogeneous phase oscillators ⋮ Blinking chimeras in globally coupled rotators ⋮ Mathematical framework for breathing Chimera states ⋮ Chimeras on a social-type network

Cites Work

• The dynamics of chimera states in heterogeneous Kuramoto networks
• Self-organized partially synchronous dynamics in populations of nonlinearly coupled oscillators
• Turbulence in the Ott–Antonsen equation for arrays of coupled phase oscillators
• Spectral properties of chimera states
• Coherence–incoherence patterns in a ring of non-locally coupled phase oscillators
• Cascades of Multiheaded Chimera States for Coupled Phase Oscillators
• Chimera patterns in the Kuramoto–Battogtokh model
• Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators
• Low dimensional behavior of large systems of globally coupled oscillators

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