Symmetry broken states in an ensemble of globally coupled pendulums

DOI10.1016/j.physd.2019.132266zbMath1453.34051arXiv1812.05141OpenAlexW2904310842WikidataQ126806856 ScholiaQ126806856MaRDI QIDQ2222758

Vyacheslav O. Munyaev, Maxim I. Bolotov, Lev A. Smirnov, Alexander E. Hramov

Publication date: 27 January 2021

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.05141

zbMATH Keywords

chaosclusterssymmetry breakingglobal couplingpendulumssolitary states

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items

Chaos along the rc-branch of \(RLC\)-shunted intrinsic Josephson junctions, Appearance of chaos and hyperchaos in evolving pendulum network

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Kuramoto model in complex networks
• Dynamics of an autoparametric pendulum-like system with a nonlinear semiactive suspension
• Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements
• Synchronization. From simple to complex
• Variety and generality of clustering in globally coupled oscillators
• From collective oscillations to collective chaos in a globally coupled oscillator system
• Bistability of rotational modes in a system of coupled pendulums
• Synchronization in oscillatory networks
• Large-Time Dynamics of Kuramoto Oscillators under the Effects of Inertia and Frustration
• Lyapunov Exponents
• Dynamics of globally coupled oscillators: Progress and perspectives
• Bistability of patterns of synchrony in Kuramoto oscillators with inertia
• Cluster singularity: The unfolding of clustering behavior in globally coupled Stuart-Landau oscillators
• Weak multiplexing in neural networks: Switching between chimera and solitary states
• Variety of rotation modes in a small chain of coupled pendulums
• Nonlinear dynamics of chaotic and stochastic systems. Tutorial and modern developments
• Elements of applied bifurcation theory