Volcano transition in a system of generalized Kuramoto oscillators with random frustrated interactions
- Title
- Volcano transition in a system of generalized Kuramoto oscillators with random frustrated interactions
- Author
- 손승우
- Keywords
- volcano transition; generalized Kuramoto model; random interaction
- Issue Date
- 2024-02-09
- Publisher
- IOP PUBLISHING LTD
- Citation
- Journal of Physics A: Mathematical and Theoretical
- Abstract
- In a system of heterogeneous (Abelian) Kuramoto oscillators with random or
‘frustrated’ interactions, transitions from states of incoherence to partial synchronization were observed. These so-called volcano transitions are characterized by a change in the shape of a local field distribution and were discussed in
connection with an oscillator glass. In this paper, we consider a different class of oscillators, namely a system of (non-Abelian) SU(2)-Lohe oscillators that can also be defined on the 3-sphere, i.e. an oscillator is generalized to be defined as a unit vector in four-dimensional Euclidean space. We demonstrate that such higher-dimensional Kuramoto models with reciprocal and nonreciprocal random interactions represented by a low-rank matrix exhibit a volcano transition as well. We determine the critical coupling strength at which a volcano-like transition occurs, employing an Ott–Antonsen ansatz. Numerical simulations
provide additional validations of our analytical findings and reveal the differences in observable collective dynamics prior to and following the transition.
- URI
- https://iopscience.iop.org/article/10.1088/1751-8121/ad2226https://repository.hanyang.ac.kr/handle/20.500.11754/189478
- ISSN
- 1751-8113; 1751-8121
- DOI
- 10.1088/1751-8121/ad2226
- Appears in Collections:
- COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY[E](과학기술융합대학) > APPLIED PHYSICS(응용물리학과) > Articles
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