Solvable model of the collective motion of heterogeneous particles interacting on a sphere
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Publication:3388003
DOI10.1088/1367-2630/16/2/023016zbMath1451.70004arXiv1401.3109OpenAlexW3098783015MaRDI QIDQ3388003
Publication date: 8 January 2021
Published in: New Journal of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.3109
Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Kinematics of a particle (70B05)
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Cites Work
- Unnamed Item
- Unnamed Item
- Dynamics of heterogeneous oscillator ensembles in terms of collective variables
- Phase synchronization of non-abelian oscillators on small-world networks
- Chemical oscillations, waves, and turbulence
- The dynamics of chimera states in heterogeneous Kuramoto networks
- Constants of motion for superconducting Josephson arrays
- Comment on ``Constants of motion for superconductor arrays
- Weakly connected neural networks
- Complex networks: structure and dynamics
- Riccati differential equations
- Engineering Complex Dynamical Structures: Sequential Patterns and Desynchronization
- Solvable Dynamics in a System of Interacting Random Tops
- Low dimensional behavior of large systems of globally coupled oscillators
- Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action
- The geometry of biological time.
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