Solitary states and partial synchrony in oscillatory ensembles with attractive and repulsive interactions

DOI10.1063/1.5118843zbMath1423.34061arXiv1907.02785OpenAlexW3099434008WikidataQ90420383 ScholiaQ90420383MaRDI QIDQ5242060

Erik Teichmann, Michael G. Rosenblum

Publication date: 5 November 2019

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

Full work available at URL: https://arxiv.org/abs/1907.02785

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (8)

Anti-phase synchronization of waves in a multiplex network of van der Pol oscillators ⋮ Emergence of Bicluster Aggregation for the Swarm Sphere Model with Attractive-Repulsive Couplings ⋮ The role of timescale separation in oscillatory ensembles with competitive coupling ⋮ Spatiotemporal patterns in a 2D lattice with linear repulsive and nonlinear attractive coupling ⋮ Repulsive inter-layer coupling induces anti-phase synchronization ⋮ Transient circulant clusters in two-population network of Kuramoto oscillators with different rules of coupling adaptation ⋮ Generalized splay states in phase oscillator networks ⋮ Aging transition under discrete time-dependent coupling: restoring rhythmicity from aging

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