Papers
State-Dependent Dynamics of the Lohe Matrix Ensemble on the Unitary Group under the Gradient Flow
- Research Fields의료수학연구부
- AuthorDohyun Kim
- JournalSIAM Journal on Applied Dynamical Systems 19(2) (2020
- Link https://doi.org/10.1137/19M1294605
- Classification of papersSCIE
We study the emergent behavior of the matrix ensemble on the unitary group in which a state of each oscillator is influenced by the relative distances. Thus, the coupling strength becomes a time-dependent function and its temporal evolution is determined by a feedback rule incorporating the linear damping and the function of the relative distances between oscillators.
We study the emergent behavior of the matrix ensemble on the unitary group in which a state of each oscillator is influenced by the relative distances. Thus, the coupling strength becomes a time-dependent function and its temporal evolution is determined by a feedback rule incorporating the linear damping and the function of the relative distances between oscillators.