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Collective motion, sensor networks and ocean sampling
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Oscillator models and collective motion
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D. A. Paley, N. E. Leonard, R. Sepulchre, D. Grunbaum, and J. K. Parrish, "Oscillator models and collective motion," IEEE Control Syst., vol.27, no.4, pp. 89-105, Aug. 2007.
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IEEE Control Syst.
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3
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Extension of the Cucker-Smale control law to space flight formation
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Emergent behavior in flocks
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F. Cucker and S. Smale, "Emergent behavior in flocks," IEEE Trans. Autom. Control, vol.52, no.5, pp. 852-862, May 2007.
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IEEE Trans. Autom. Control
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Cucker, F.1
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On the mathematics of emergence
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Jpn. J. Math.
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Cucker, F.1
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Swarming patterns in a two-dimensional kinematic model for biological groups
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Topaz, C.M.1
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Novel type of phase transition in a system of self-driven particles
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Flocks, herds, and schools: A quantitative theory of flocking
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Asymptotic flocking dynamics for the kinetic cucker-smale model
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Feb. 2010
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J. A. Carrillo, M. Fornasier, J. Rosado, and B. Toscani, "Asymptotic Flocking Dynamics for the Kinetic Cucker-Smale Model," SIAM J. Math. Anal., vol.42, no.1, pp. 218-236, Feb. 2010.
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10
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A simple proof of Cucker-Smale flocking dynamics and mean field limit
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S.-Y. Ha and J.-G. Liu, "A simple proof of Cucker-Smale flocking dynamics and mean field limit," Commun. Math. Sci., vol.7, pp. 297-325, 2009.
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Ha, S.-Y.1
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J. Shen, "Cucker-Smale flocking under hierarchical leadership," SIAM J. Appl. Math., vol.68, pp. 694-719, 2007.
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Shen, J.1
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From particle to kinetic and hydrodynamic description of flocking
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S.-Y. Ha and E. Tadmor, "From particle to kinetic and hydrodynamic description of flocking," Kinetic Related Models, vol.1, pp. 415-435, 2008.
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Kinetic Related Models
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Ha, S.-Y.1
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Flocking in noisy environments
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Emergence of time-asymptotic flocking in a stochastic Cucker-Smale system
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S.-Y. Ha, K. Lee, and D. Levy, "Emergence of time-asymptotic flocking in a stochastic Cucker-Smale system," Commun. Math. Sci., vol.7, pp. 453-469, 2009.
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Ha, S.-Y.1
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Flocking and synchronization of particle models
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S.-Y. Ha, C. Lattanzio, B. Rubino, and M. Slemrod, "Flocking and synchronization of particle models," Quartey J. Appl. Math., to be published.
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Quartey J. Appl. Math.
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Ha, S.-Y.1
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Flocking dynamics of singularly perturbed oscillator chain and the Cucker-Smale system
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S.-Y. Ha and M. Slemrod, "Flocking dynamics of singularly perturbed oscillator chain and the Cucker-Smale system," J. Dyn. Differ. Equ., to be published.
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J. Dyn. Differ. Equ.
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Ha, S.-Y.1
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