Emergent Behavior in Flocks

By Felipe Cucker, Steve Smale. 2007

1,750 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Molecular Biology

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Citations in the corpus

An Alternative Approach to Mean Field Game with Major and Minor Players, and Applications to Herders Impacts (2016, methodology): “In this final section, we apply the theoretical results derived above to a model of flocking inspired by the mean field game formulation proposed in [8] to generalize a basic descriptive model originally proposed by Cucker and Smale in [5].”
A probabilistic weak formulation of mean field games and applications (2013, background): “In [35], drawing inspiration from [14], φ is of the form”
Mean Field Limit for Stochastic Particle Systems (2017, background): “• Since the pioneering works in [74] and [24], 2nd order systems like (1) have been used to model flocks of birds, schools of fishes, swarms of insects, .”
Mean Field Analysis of Controlled Cucker-Smale Type Flocking: Linear Analysis and Perturbation Equations (2011, methodology): “In (Cucker and Smale, 2007) Cucker and Smale formulated an interesting individual based flocking model for a group of agents.”
Mean-field optimal control as Gamma-limit of finite agent controls (2018, background): “A particular and interesting example for a is given by the following decreasing function a(|q|) = 1/(1+|q|2)γ for some γ ≥ 0, which yields the Cucker-Smale flocking model [31,32].”
Emergent Behavior of a Cucker-Smale Type Particle Model With Nonlinear Velocity Couplings (2010, methodology): “, flocking of birds, schooling of fishes, swarming of bacteria in biological organism [4]–[7] and [17].”
Emergent dynamics of the Cucker-Smale flocking model and its variants (2016, methodology): “An example in [31] shows that when β > 12 , the unconditional flocking is not true.”
Distributed Control of Robotic Networks: A Mathematical Approach to Motion Coordination Algorithms (2009, background): “, 2006), spatially decaying interactions (Cucker and Smale, 2007), convergence in time-delayed and asynchronous settings (Blondel et al.”
Robust Finite-Time Consensus Tracking Algorithm for Multirobot Systems (2009, methodology): “Consensus algorithms have applications in rendezvous control of multinonholonomic agents [1]–[3], formation control [4]– [6], and flocking attitude alignment [ 7 ].”
Particle, kinetic, and hydrodynamic models of swarming (2010, methodology): “3 The Cucker–Smale model The model proposed by Cucker–Smale in [25, 26] takes into account only an alignment mechanism of the individuals by adjusting/averaging their relative velocities with all the others.”
Sparse stabilization and optimal control of the Cucker-Smale model (2013, neutral): “Certain aspects of human social behavior, as in language evolution [22, 24, 35] or even criminal activities [57], are also subject of intensive study by means of dynamical systems and kinetic models.”
A review of the mean field limits for Vlasov equations (2014, background): “is a common choice for many life science applications, in particular swarming and flocking: The collective motion of animals (birds, fishes) or other living organisms, see for instance [47], [48], [153].”
From particle to kinetic and hydrodynamic descriptions of flocking (2008, background): “The Cucker-Smale model.”
Avoiding Collisions in Flocks (2010, methodology): “In contrast with this, the main result in [ 5 ] establishes convergence to a common velocity under conditions on the initial state of the flock only.”