Emergent behaviors of continuous and discrete thermomechanical Cucker–Smale models on general digraphs

DOI10.1142/S0218202519400013zbMath1464.34068arXiv1812.02874WikidataQ128315631 ScholiaQ128315631MaRDI QIDQ4972949

Seung-Yeal Ha, Doheon Kim, Jiu-Gang Dong

Publication date: 29 November 2019

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.02874

zbMATH Keywords

digraphenergy estimateemergencescrambling matricesstate-transition matricesthermomechanical Cucker-Smale particles

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Discrete version of topics in analysis (39A12) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Directed graphs (digraphs), tournaments (05C20) Animal behavior (92D50) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (13)

Discrete thermodynamic Cucker–Smale model with time-delay on a general digraph ⋮ Emergent behaviors of a thermodynamic Cucker‐Smale flock with a time‐delay on a general digraph ⋮ Flocking of the Cucker-Smale and Motsch-Tadmor models on general weighted digraphs via a probabilistic method ⋮ Emergent behaviors in the fractional Kuramoto model with general network topologies and its hybridization ⋮ On the Stochastic Flocking of the Cucker--Smale Flock with Randomly Switching Topologies ⋮ Avoiding Collisions and Pattern Formation in Flocks ⋮ On the Cucker--Smale Ensemble with the q-Closest Neighbors in a Self-Consistent Temperature Field ⋮ Emergent Behaviors of the Kuramoto Model with a Time Delay on a General Digraph ⋮ From discrete Cucker-Smale model to continuous Cucker-Smale model in a temperature field ⋮ Emergent dynamics of the fractional Cucker-Smale model under general network topologies ⋮ Emergence of mono-cluster flocking in the thermomechanical Cucker–Smale model under switching topologies ⋮ Emergent behaviors of the discrete thermodynamic Cucker–Smale model on complete Riemannian manifolds ⋮ Emergence of a periodically rotating one-point cluster in a thermodynamic Cucker-Smale ensemble

Uses Software

• Boids

Cites Work

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