Nonlinear stability of flock solutions in second-order swarming models

DOI10.1016/j.nonrwa.2013.12.008zbMath1302.34082arXiv1309.4409OpenAlexW2034146509MaRDI QIDQ2510881

Yanghong Huang, Stephan Martin, José Antonio Carrillo

Publication date: 4 August 2014

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4409

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)

Related Items (22)

Regularity of local minimizers of the interaction energy via obstacle problems ⋮ Stability analysis of a swarm model with rooted leadership ⋮ Explicit flock solutions for Quasi-Morse potentials ⋮ Stability analysis of swarming model with time delays ⋮ Convergence of a linearly transformed particle method for aggregation equations ⋮ An analytical framework for consensus-based global optimization method ⋮ Anticipation breeds alignment ⋮ Controlling Swarms toward Flocks and Mills ⋮ Cooperative control of double-integrator agents with heterogeneous control gains: exponential consensus conditions and the heterogeneity-metric ⋮ Elastic and inelastic collisions of swarms ⋮ On global minimizers of repulsive–attractive power-law interaction energies ⋮ Some free boundary problems involving non-local diffusion and aggregation ⋮ Pattern formation of a nonlocal, anisotropic interaction model ⋮ Discrete minimisers are close to continuum minimisers for the interaction energy ⋮ Uniqueness and characterization of local minimizers for the interaction energy with mildly repulsive potentials ⋮ Space mapping-based receding horizon control for stochastic interacting particle systems: dogs herding sheep ⋮ Mean-field limit for collective behavior models with sharp sensitivity regions ⋮ Explicit equilibrium solutions for the aggregation equation with power-law potentials ⋮ Stability Analysis of Line Patterns of an Anisotropic Interaction Model ⋮ A Generalized Model of Flocking with Steering ⋮ Existence of compactly supported global minimisers for the interaction energy ⋮ Reduced fluid models for self-propelled particles interacting through alignment

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