Asymptotic interplay of states and adaptive coupling gains in the Lohe Hermitian sphere model
From MaRDI portal
Publication:2081940
DOI10.3934/dcdsb.2022007OpenAlexW4210616350MaRDI QIDQ2081940
Junhyeok Byeon, Hansol Park, Seung-Yeal Ha
Publication date: 30 September 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.03450
Dynamical systems methods for problems in mechanics (70G60) Synchronization of solutions to ordinary differential equations (34D06)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A nonlocal continuum model for biological aggregation
- Emergence of phase-locked states for the Kuramoto model in a large coupling regime
- Synchronization of Kuramoto model in a high-dimensional linear space
- Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model
- Synchronization in complex networks of phase oscillators: a survey
- On the complete phase synchronization for the Kuramoto model in the mean-field limit
- A lifting method for analyzing distributed synchronization on the unit sphere
- Synchronization and stability for quantum Kuramoto
- Emergent behaviors of Lohe tensor flocks
- On the relaxation dynamics of Lohe oscillators on some Riemannian manifolds
- A matrix-valued Kuramoto model
- Emergence of aggregation in the swarm sphere model with adaptive coupling laws
- Synchronization analysis of Kuramoto oscillators
- Synchronization of Kuramoto Oscillators with Adaptive Couplings
- Complete Entrainment of Lohe Oscillators under Attractive and Repulsive Couplings
- Quantum synchronization over quantum networks
- Emergent Dynamics of Kuramoto Oscillators with Adaptive Couplings: Conservation Law and Fast Learning
- Non-Abelian Kuramoto models and synchronization
- Quaternions in Collective Dynamics
- Low-dimensional dynamics in non-Abelian Kuramoto model on the 3-sphere
- Swarming Patterns in a Two-Dimensional Kinematic Model for Biological Groups
- Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
- On Exponential Synchronization of Kuramoto Oscillators
- State-Dependent Dynamics of the Lohe Matrix Ensemble on the Unitary Group under the Gradient Flow
- From the Lohe Tensor Model to the Lohe Hermitian Sphere Model and Emergent Dynamics
- Systems of matrix Riccati equations, linear fractional transformations, partial integrability and synchronization
- Emergent Behavior in Flocks
- Almost global consensus on the n-sphere
- On the Critical Coupling for Kuramoto Oscillators
