Emergence of time-asymptotic flocking in a stochastic Cucker-Smale system
نویسندگان
چکیده
منابع مشابه
Emergence of Time-asymptotic Flocking in a Stochastic Cucker-smale System
Abstract. We study a stochastic Cucker-Smale flocking system in which particles interact with the environment through white noise. We provide the definition of flocking for the stochastic system, and show that when the communication rate is constant, the system exhibits a flocking behavior independent of the initial configurations. For the case of a radially symmetric communication rate with a ...
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In this paper, we analyse the asymptotic behavior of solutions of the continuous kinetic version of flocking by Cucker and Smale [16], which describes the collective behavior of an ensemble of organisms, animals or devices. This kinetic version introduced in [24] is here obtained starting from a Boltzmann-type equation. The large-time behavior of the distribution in phase space is subsequently ...
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We study the emergent flocking behavior in a group of Cucker-Smale flocking agents under rooted leadership with alternating leaders. It is well known that the network topology regulates the emergent behaviors of flocks. All existing results on the Cucker-Smale model with leader-follower topologies assume a fixed leader during temporal evolution process. The rooted leadership is the most general...
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A mathematical theory on flocking serves the foundation for several ubiquitous multi-agent phenomena in biology, ecology, sensor networks, economy, as well as social behavior like language emergence and evolution. Directly inspired by the recent fundamental works of Cucker and Smale on the construction and analysis of a generic flocking model, we study the emergent behavior of Cucker-Smale floc...
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Consider a flock of birds that fly interacting between them. The interactions are modelled through a hierarchical system in which each bird, at each time step, adjusts its own velocity according to his past velocity and a weighted mean of the relative velocities of its superiors in the hierarchy. We consider the additional fact, that each of the birds can fail to see any of its superiors with c...
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ژورنال
عنوان ژورنال: Communications in Mathematical Sciences
سال: 2009
ISSN: 1539-6746,1945-0796
DOI: 10.4310/cms.2009.v7.n2.a9