[en] This paper studies connections between phase models of coupled oscillators and kinematic models of groups of self-propelled particles. These connections are exploited in the analysis and design of feedback control laws for the individuals that stabilize collective motions for the group.
Disciplines :
Computer science
Author, co-author :
Sepulchre, Rodolphe ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation
Paley, Derek; Princeton University > Department of Mechanical and Aerospace Engineering
Leonard, Naomi; Princeton University
Language :
English
Title :
Collective motion and oscillator synchronization
Publication date :
2005
Main work title :
Cooperative Control
Publisher :
Springer-Verlag Berlin, Berlin, Germany
Collection name :
Lecture Notes in Control and Information Sciences; 309
R. Bachmayer and N. E. Leonard, Vehicle networks for gradient descent in a sampled environment, Proc. of the 41st IEEE Conference on Decision and Control (2002).
I.D. Couzin, J. Krause, R. James, G. Ruxton, and N. Franks, Collective memory and spatial sorting in animal groups, J. Theor. Biology (2002), no. 218, 1-11.
B. Ermentrout and N. Kopell, Oscillator death in systems of coupled neural oscillators, SIAM J. Appl. Math. 50 (1990), 125-146.
F. Hoppensteadt and E. Izhikevich, Weakly connected neural networks, Springer-Verlag, New-York, 1997.
Autonomous Ocean Sampling Network II. http://www.princeton.edU/~dcsl/aosn/, 2003.
E. Justh and P. Krishnaprasad, A simple control law for UAV formation flying, Technical Report 2002-38, http://www.isr.umd.edu.
E. Justh and P. Krishnaprasad, Steering laws and continum models for planar formations, To appear in Proc. of the 42nd IEEE Conference on Decision and Control (2003).
A. Jadbabaie, J. Lin, and A. S. Morse, Coordination of groups of mobile autonomous agents using nearest neighbor rules, IEEE Trans. Automatic Control 48 (2002), 988-1001.
Y. Kuramoto, Chemical oscillations, waves, and turbulence, Springer-Verlag, Berlin, 1984.
H. Levine, W.-J. Rappel, and I. Cohen, Self-organization in systems of self-propelled particles, Physical Review E 63 (2001), 017101.
S. Strogatz, From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators, Physica D 143 (2000), 1-20.
T. Viczek, A. Czirok, E. Ben-Jacob, I. Cohen, and O. Shochet, Novel type of phase transition in a system of self-driven particles, Physical Review Letters 75 (1995), no. 6, 1226-1229.
S. Watanabe and S. Strogatz, Constants of the motion of superconducting Josephson arrays, Physica D 74 (1994), 195-253.