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A variant of the Smale's model for flocks formation

Díaz Díaz, Jesús Ildefonso (2007) A variant of the Smale's model for flocks formation. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A: Matemáticas , 101 (2). pp. 225-228. ISSN 1578-7303

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Abstract

Motivated by a recent lecture of S. Smale, we propose here a variant of the model considered by F. Cucker and S. Smale for the formation of uniform flocks allowing to prove that the formation of an uniform structure take place in a finite time (and not merely when t converges to infinity).

Item Type:Article
Uncontrolled Keywords:flocks, finite time convergence to equilibrium, nonlinear ordinary differential systems
Subjects:Sciences > Mathematics > Differential equations
ID Code:15293
References:

Antontsev, S. N., Díaz, J. I. and Shmarev, S. I., (2002). Energy Methods for Free Boundary Problems: Applications to Non-linear PDEs and Fluid Mechanics, Bikhäuser, Boston, Progress in Nonlinear Differential Equations and Their Applications, 48.

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Smale, S. (2007). The changing directions of Mathematics, Lecture at the International Symposium "The frontiers of Mathematics", Fundación Ramón Areces, Madrid, June 7–8, 2007. Organized by the CSIC and the RAC.

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Deposited On:21 May 2012 09:45
Last Modified:06 Feb 2014 10:21

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