Coexistence of Hamiltonian-Like and Dissipative Dynamics in Rings of Coupled Phase Oscillators with Skew-Symmetric Coupling

DOI10.1137/17M1155685zbMath1401.34040OpenAlexW2887436066WikidataQ129478047 ScholiaQ129478047MaRDI QIDQ4686619

Oleksandr Burylko, Alexander Mielke, Sergiy Yanchuk, Matthias Wolfrum

Publication date: 4 October 2018

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1155685

zbMATH Keywords

reversible systemsbifurcationsamplitude equationsphase oscillators

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items

Collective dynamics and bifurcations in symmetric networks of phase oscillators. I, Pattern selection in a ring of Kuramoto oscillators, Synchronization-based symmetric circular formations of mobile agents and the generation of chaotic trajectories, Kantorovich–Rubinstein–Wasserstein distance between overlapping attractor and repeller, Collective dynamics and bifurcations in symmetric networks of phase oscillators. II, Stability analysis of alternating wave solution in a Stuart-Landau system with time delay, Stability in the Kuramoto-Sakaguchi model for finite networks of identical oscillators, Generalized splay states in phase oscillator networks

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