WebJul 31, 2024 · The work of J.-G. Dong was supported in part by NSFC grant 11671109. We study dynamic interplay between time-delay and velocity alignment in the ensemble of Cucker-Smale (C-S) particles (or agents) on time-varying networks which are modeled by digraphs containing spanning trees. Time-delayed dynamical systems often appear in … WebAug 31, 2024 · In this paper, we consider the flocking problem of modified continu- ous-time and discrete-time Cucker-Smale models where every agent has its own intrinsic dynamics with Lipschitz property. The dynamics of the models are governed by the interplay between agents' own intrinsic dynamics and Cucker-Smale coupling dynamics.
Emergent Behavior in Flocks IEEE Journals & Magazine
WebAug 24, 2016 · We study a Cucker-Smale-type system with time delay in which agents interact with each other through normalized communication weights. We construct a Lyapunov functional for the system and provide … WebJun 30, 2024 · Firstly, we work on a delayed Cucker-Smale-type system involving a general communication weight and a constant delay $ \tau>0 $ for modelling collective motion. In a result, by constructing a new Lyapunov functional approach, combining with two delayed differential inequalities established by $ L^2 $-analysis, we show that the flocking occurs ... notice of negative slippage
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WebIn recent years, a number of articles have focused on mathematical models for emergent phenomena, for instance, the flocking of birds or the schooling of fish. In 2007, Cucker and Smale proposed an ingenious model which captures many of the observed features of moving animals. WebMay 23, 2012 · Hierarchical Cucker–Smale flocking under random interactions with time-varying failure probabilities Journal of the Franklin Institute, Vol. 355, No. 17 A global existence of classical solutions to the hydrodynamic Cucker–Smale model in presence of a temperature field WebOct 5, 2001 · F. Cucker, S. Smale Published 5 October 2001 Computer Science Bulletin of the American Mathematical Society (1) A main theme of this report is the relationship of … notice of negative information form