Chimeras in a network of three oscillator populations with varying network topology

DOI10.1063/1.3499502zbMath1311.34081arXiv1003.2916OpenAlexW3100551474WikidataQ83094370 ScholiaQ83094370MaRDI QIDQ5251319

Erik Andreas Martens

Publication date: 20 May 2015

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

Full work available at URL: https://arxiv.org/abs/1003.2916

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Synchronization of solutions to ordinary differential equations (34D06)

Related Items

The mathematics behind chimera states, Metastability and chimera states in modular delay and pulse-coupled oscillator networks, Chimera dynamics of generalized Kuramoto–Sakaguchi oscillators in two-population networks, Classification of attractors for systems of identical coupled Kuramoto oscillators, Nonlinearity of local dynamics promotes multi-chimeras, Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review, Chimera states in two populations with heterogeneous phase-lag, Chimeras, The Kuramoto model in complex networks, Synchronization of chimera states in a multiplex system of phase oscillators with adaptive couplings, Basins of attraction for chimera states, The dynamics of network coupled phase oscillators: An ensemble approach

Cites Work

• Constants of motion for superconducting Josephson arrays
• Low dimensional behavior of large systems of globally coupled oscillators
• Long time evolution of phase oscillator systems
• Chimera states in heterogeneous networks
• Invariant submanifold for series arrays of Josephson junctions
• CHIMERA STATES IN A RING OF NONLOCALLY COUPLED OSCILLATORS