Kinetic models for topological nearest-neighbor interactions
From MaRDI portal
Publication:683318
DOI10.1007/s10955-017-1882-zzbMath1380.82032arXiv1703.05131OpenAlexW3105537307WikidataQ59603555 ScholiaQ59603555MaRDI QIDQ683318
Adrien Blanchet, Pierre Degond
Publication date: 6 February 2018
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.05131
Interacting particle systems in time-dependent statistical mechanics (82C22) Animal behavior (92D50)
Related Items (11)
Global solutions to multi-dimensional topological Euler alignment systems ⋮ Optimized Leaders Strategies for Crowd Evacuation in Unknown Environments with Multiple Exits ⋮ Propagation of chaos for topological interactions by a coupling technique ⋮ One-Dimensional Short-Range Nearest-Neighbor Interaction and Its Nonlinear Diffusion Limit ⋮ Propagation of chaos for aggregation equations with no-flux boundary conditions and sharp sensing zones ⋮ On Flocks Under Switching Directed Interaction Topologies ⋮ Local well-posedness of the topological Euler alignment models of collective behavior ⋮ Topologically Based Fractional Diffusion and Emergent Dynamics with Short-Range Interactions ⋮ The evolution of communication mechanisms in self-organised ecological aggregations: Impact on pattern formation ⋮ Propagation of chaos for topological interactions ⋮ Propagation of chaos: a review of models, methods and applications. II: Applications
Uses Software
Cites Work
- Unnamed Item
- Topological interactions in a Boltzmann-type framework
- Spectral method for a kinetic swarming model
- Mean-field limit for the stochastic Vicsek model
- Hyperbolic and kinetic models for self-organized biological aggregations and movement: a brief review
- Hybrid Atlas models
- Fluid dynamic description of flocking via the Povzner-Boltzmann equation
- A new model for self-organized dynamics and its flocking behavior
- A kinetic model for the formation of swarms with nonlinear interactions
- From particle to kinetic and hydrodynamic descriptions of flocking
- The mathematical theory of dilute gases
- Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics
- Ring patterns and their bifurcations in a nonlocal model of biological swarms
- A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
- Macroscopic limits and phase transition in a system of self-propelled particles
- Flocking dynamics and mean-field limit in the Cucker-Smale-type model with topological interactions
- Multi-agent flocking under topological interactions
- Atlas models of equity markets
- KINETIC LIMITS FOR PAIR-INTERACTION DRIVEN MASTER EQUATIONS AND BIOLOGICAL SWARM MODELS
- ON THE MATHEMATICAL THEORY OF THE DYNAMICS OF SWARMS VIEWED AS COMPLEX SYSTEMS
- Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model
- FROM EMPIRICAL DATA TO INTER-INDIVIDUAL INTERACTIONS: UNVEILING THE RULES OF COLLECTIVE ANIMAL BEHAVIOR
- Stability Analysis of Flock and Mill Rings for Second Order Models in Swarming
- CONTINUUM LIMIT OF SELF-DRIVEN PARTICLES WITH ORIENTATION INTERACTION
- Synchronization of multi-agent systems with metric-topological interactions
- Hydrodynamic limit of the kinetic Cucker–Smale flocking model
- Emergent Behavior in Flocks
- Phase Transitions in a Kinetic Flocking Model of Cucker--Smale Type
- Binary Interaction Algorithms for the Simulation of Flocking and Swarming Dynamics
- Rearrangement, convection, convexity and entropy
This page was built for publication: Kinetic models for topological nearest-neighbor interactions
