Emergent behaviors of a first-order particle swarm model on the hyperboloid
From MaRDI portal
Publication:3298910
DOI10.1063/1.5066255zbMath1479.34091OpenAlexW3020576757MaRDI QIDQ3298910
Dohyun Kim, Chanho Min, Seungsu Hwang, Seung-Yeal Ha, Sun-Chul Kim
Publication date: 16 July 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.5066255
Ordinary differential equations and systems on manifolds (34C40) Animal behavior (92D50) The dynamics of infinite particle systems (70F45) Synchronization of solutions to ordinary differential equations (34D06)
Related Items (6)
Emergent dynamics of a thermodynamic Cucker-Smale ensemble on complete Riemannian manifolds ⋮ Solvability of ODEs describing curves on $mathbb{S}^2$ or $mathbb{H}^2$ ⋮ Counterexamples in synchronization: pathologies of consensus seeking gradient descent flows on surfaces ⋮ Long-time behaviour of interaction models on Riemannian manifolds with bounded curvature ⋮ Equilibria and energy minimizers for an interaction model on the hyperbolic space ⋮ Emergent behaviors of Cucker–Smale flocks on the hyperboloid
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the emergence and orbital stability of phase-locked states for the Lohe model
- Synchronization of Kuramoto model in a high-dimensional linear space
- Chemical oscillations, waves, and turbulence
- Generalising the Kuramoto model for the study of neuronal synchronisation in the brain
- Autonomous rigid body attitude synchronization
- Opinion dynamics on a general compact Riemannian manifold
- Synchronization and stability for quantum Kuramoto
- Particle and kinetic models for swarming particles on a sphere and stability properties
- On the relaxation dynamics of Lohe oscillators on some Riemannian manifolds
- Long-time dynamics for a simple aggregation equation on the sphere
- Self-organization on Riemannian manifolds
- A matrix-valued Kuramoto model
- Emergent dynamics of a generalized Lohe model on some class of Lie groups
- Emergence of bi-cluster flocking for the Cucker–Smale model
- COLLECTIVE BEHAVIOR OF BIOLOGICAL AGGREGATIONS IN TWO DIMENSIONS: A NONLOCAL KINETIC MODEL
- On Equilibria and Consensus of the Lohe Model with Identical Oscillators
- Non-Abelian Kuramoto models and synchronization
- Synchronization of relativistic particles in the hyperbolic Kuramoto model
- Higher-dimensional generalizations of the Watanabe–Strogatz transform for vector models of synchronization
- Quaternions in Collective Dynamics
- A Second-Order Particle Swarm Model on a Sphere and Emergent Dynamics
- Emergent behaviors of a holonomic particle system on a sphere
- Systems of matrix Riccati equations, linear fractional transformations, partial integrability and synchronization
- A new flocking model through body attitude coordination
- Emergent Behavior in Flocks
- Almost global consensus on the n-sphere
This page was built for publication: Emergent behaviors of a first-order particle swarm model on the hyperboloid