-
1
-
-
0003913214
-
Mathematical Aspects of Heart Physiology
-
(Courant Institute Lecture Notes). New York: Courant Institute of Mathematical Sciences
-
C.S. Peskin, Mathematical Aspects of Heart Physiology (Courant Institute Lecture Notes). New York: Courant Institute of Mathematical Sciences, 1975.
-
(1975)
-
-
Peskin, C.S.1
-
2
-
-
84990585743
-
Symmetry and phaselocking in chains of weakly coupled oscillators
-
N. Kopell and G.B. Ermentrout, “Symmetry and phaselocking in chains of weakly coupled oscillators,” Comm. Pure Appl. Math., vol. 39, no. 5, pp. 623-660,1986.
-
(1986)
Comm. Pure Appl. Math.
, vol.39
, Issue.5
, pp. 623-660
-
-
Kopell, N.1
Ermentrout, G.B.2
-
3
-
-
0000478424
-
Constants of motion for superconductor arrays
-
S. Watanabe and S. Strogatz, “Constants of motion for superconductor arrays,” Physica D, vol. 74, no. 3-4, pp. 197-253,1994.
-
(1994)
Physica D
, vol.74
, Issue.3-4
, pp. 197-253
-
-
Watanabe, S.1
Strogatz, S.2
-
4
-
-
0014108715
-
Biological rhythms and the behavior of populations of coupled oscillators
-
A.T. Winfree, “Biological rhythms and the behavior of populations of coupled oscillators,” J. Theor. Biol., vol. 16, no. 1, pp. 15-42,1967.
-
(1967)
J. Theor. Biol.
, vol.16
, Issue.1
, pp. 15-42
-
-
Winfree, A.T.1
-
6
-
-
0039592729
-
From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators
-
S.H. Strogatz, “From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators,” Physica D, vol. 143, no. 1-4, pp. 1–20, 2000.
-
(2000)
Physica D
, vol.143
, Issue.1-4
, pp. 1-20
-
-
Strogatz, S.H.1
-
7
-
-
52449134691
-
Stabilization of planar collective motion with limited communication
-
to be published. [Online]. Available:
-
R. Sepulchre, D.A. Paley, and N.E. Leonard, “Stabilization of planar collective motion with limited communication,” IEEE Trans. Automat. Contr., to be published. [Online]. Available: http://www.princeton.edu/~naomi.
-
IEEE Trans. Automat. Contr.
-
-
Sepulchre, R.1
Paley, D.A.2
Leonard, N.E.3
-
8
-
-
33947394634
-
Collective motion, sensor networks and ocean sampling
-
N.E. Leonard, D.A. Paley, F. Lekien, R. Sepulchre, D.M. Fratantoni, and R.E. Davis, “Collective motion, sensor networks and ocean sampling,” Proc. IEEE, vol. 95, no. 1, pp. 48–74, 2007.
-
(2007)
Proc. IEEE
, vol.95
, Issue.1
, pp. 48-74
-
-
Leonard, N.E.1
Paley, D.A.2
Lekien, F.3
Sepulchre, R.4
Fratantoni, D.M.5
Davis, R.E.6
-
9
-
-
33947381361
-
Multi-AUV control and adaptive sampling in Monterey Bay
-
Oct.
-
E. Fiorelli, N.E. Leonard, P. Bhatta, D.A. Paley, R. Bachmayer, and D.M. Fratantoni, “Multi-AUV control and adaptive sampling in Monterey Bay,” IEEE J. Oceanic Eng., vol. 31, no. 4, pp. 935–948, Oct. 2006.
-
(2006)
IEEE J. Oceanic Eng.
, vol.31
, Issue.4
, pp. 935-948
-
-
Fiorelli, E.1
Leonard, N.E.2
Bhatta, P.3
Paley, D.A.4
Bachmayer, R.5
Fratantoni, D.M.6
-
10
-
-
34547772990
-
Control of coordinated patterns for ocean sampling
-
[Online]. Available:
-
F. Zhang, D.M. Fratantoni, D.A. Paley, J.M. Lund, and N.E. Leonard, “Control of coordinated patterns for ocean sampling,” Int. J. Contr. [Online]. Available: http://www.princeton.edu/~naomi.
-
Int. J. Contr.
-
-
Zhang, F.1
Fratantoni, D.M.2
Paley, D.A.3
Lund, J.M.4
Leonard, N.E.5
-
11
-
-
0022854743
-
Dynamical aspects of animal grouping: Swarms, schools, flocks, and herds
-
A. Okubo, “Dynamical aspects of animal grouping: Swarms, schools, flocks, and herds,” Adv. Biophys., vol. 22, pp. 1-94,1986.
-
(1986)
Adv. Biophys.
, vol.22
, pp. 1-94
-
-
Okubo, A.1
-
12
-
-
0000754593
-
Modelling social animal aggregations
-
S.A. Levin, Ed. Berlin: Springer-Verlag
-
D. Grünbaum and A. Okubo, “Modelling social animal aggregations,” in Lecture Notes in Biomathematics 100, S.A. Levin, Ed. Berlin: Springer-Verlag, 1994, pp. 296–325.
-
(1994)
Lecture Notes in Biomathematics 100
, pp. 296-325
-
-
Grünbaum, D.1
Okubo, A.2
-
13
-
-
0031926153
-
Schooling as a strategy for taxis in a noisy environment
-
D. Griinbaum, “Schooling as a strategy for taxis in a noisy environment,” Evolutionary Ecology, vol. 12, no. 5, pp. 503-522,1998.
-
(1998)
Evolutionary Ecology
, vol.12
, Issue.5
, pp. 503-522
-
-
Griinbaum, D.1
-
14
-
-
0033590683
-
From individuals to aggregations: The interplay between behavior and physics
-
G. Flierl, D. Grünbaum, S. Levin, and D. Olson, “From individuals to aggregations: The interplay between behavior and physics,” J. Theor. Biol., vol. 196, no. 4, pp. 397-354,1999.
-
(1999)
J. Theor. Biol.
, vol.196
, Issue.4
, pp. 354-397
-
-
Flierl, G.1
Grünbaum, D.2
Levin, S.3
Olson, D.4
-
15
-
-
1842477775
-
Equilibria and steering laws for planar formations
-
E.W. Justh and P.S. Krishnaprasad, “Equilibria and steering laws for planar formations,” Syst. Control Lett., vol. 52, no. 1, pp. 25–38, 2004.
-
(2004)
Syst. Control Lett.
, vol.52
, Issue.1
, pp. 25-38
-
-
Justh, E.W.1
Krishnaprasad, P.S.2
-
16
-
-
0038548185
-
Coordination of groups of mobile autonomous agents using nearest neighbor rules
-
A. Jadbabaie, J. Lin, and A.S. Morse, “Coordination of groups of mobile autonomous agents using nearest neighbor rules,” IEEE Trans. Automat. Contr., vol. 48, no. 6, pp. 988–1001, 2003.
-
(2003)
IEEE Trans. Automat. Contr.
, vol.48
, Issue.6
, pp. 988-1001
-
-
Jadbabaie, A.1
Lin, J.2
Morse, A.S.3
-
17
-
-
4644244041
-
Consensus problems in networks of agents with switching topology and time-delays
-
R. Olfati-Saber and R.M. Murray, “Consensus problems in networks of agents with switching topology and time-delays,” IEEE Trans. Automat. Contr., vol. 49, no. 9, pp. 1520–1533, 2004.
-
(2004)
IEEE Trans. Automat. Contr.
, vol.49
, Issue.9
, pp. 1520-1533
-
-
Olfati-Saber, R.1
Murray, R.M.2
-
18
-
-
12944293796
-
Stability of multiagent systems with time-dependent communication links
-
L. Moreau, “Stability of multiagent systems with time-dependent communication links,” IEEE Trans. Automat. Contr., vol. 50, no. 2, pp. 169-182,2005.
-
(2005)
IEEE Trans. Automat. Contr.
, vol.50
, Issue.2
, pp. 169-182
-
-
Moreau, L.1
-
19
-
-
0036406983
-
Collective memory and spatial sorting in animal groups
-
I.D. Couzin, J. Krause, R. James, G.D. Ruxton, and N.R. Franks, “Collective memory and spatial sorting in animal groups,” J. Theor. Biol., vol. 218, no. 1, pp. 1–11, 2002.
-
(2002)
J. Theor. Biol.
, vol.218
, Issue.1
, pp. 1-11
-
-
Couzin, I.D.1
Krause, J.2
James, R.3
Ruxton, G.D.4
Franks, N.R.5
-
20
-
-
3042767900
-
Individual behavior and emergent properties of fish schools: A comparison of observation and theory
-
June 8
-
S.V. Viscido, J.K. Parrish, and D. Griinbaum, “Individual behavior and emergent properties of fish schools: A comparison of observation and theory,” Marine Ecology Progress Series, vol. 273, pp. 239–249, June 8, 2004.
-
(2004)
Marine Ecology Progress Series
, vol.273
, pp. 239-249
-
-
Viscido, S.V.1
Parrish, J.K.2
Griinbaum, D.3
-
21
-
-
84880005250
-
Extracting interactive control algorithms from group dynamics of schooling fish
-
V. Kumar, N. Leonard, and A.S. Morse, Eds. Springer-Verlag
-
D. Griinbaum, S. Viscido, and J.K. Parrish, “Extracting interactive control algorithms from group dynamics of schooling fish, in Cooperative Control: A Post-Workshop Volume 2003 Block Island Workshop on Cooperative Control, V. Kumar, N. Leonard, and A.S. Morse, Eds. Springer-Verlag, 2005, pp. 104–117.
-
(2005)
Cooperative Control: A Post-Workshop Volume 2003 Block Island Workshop on Cooperative Control
, pp. 104-117
-
-
Griinbaum, D.1
Viscido, S.2
Parrish, J.K.3
-
22
-
-
13844315949
-
The effect of population size and number of influential neighbors on the emergent properties of fish schools
-
S.V. Viscido, J.K. Parrish, and D. Griinbaum, “The effect of population size and number of influential neighbors on the emergent properties of fish schools,” Ecological Modelling, vol. 183, no. 2–3, pp. 347-363, 2005.
-
(2005)
Ecological Modelling
, vol.183
, Issue.2-3
, pp. 347-363
-
-
Viscido, S.V.1
Parrish, J.K.2
Griinbaum, D.3
-
23
-
-
0003886783
-
Chemical Oscillations, Waves, and Turbulence
-
New York: Springer-Verlag
-
Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence. New York: Springer-Verlag, 1984.
-
(1984)
-
-
Kuramoto, Y.1
-
24
-
-
34247371494
-
Distributed geodesic control laws for flocking of nonholonomic agents
-
N. Moshtagh and A. Jadbabaie, “Distributed geodesic control laws for flocking of nonholonomic agents,” IEEE Trans. Automat. Contr., vol. 52, no. 4, pp. 681–686, 2007.
-
(2007)
IEEE Trans. Automat. Contr.
, vol.52
, Issue.4
, pp. 681-686
-
-
Moshtagh, N.1
Jadbabaie, A.2
-
25
-
-
34249023580
-
Stabilization of planar collective motion: All-to-all communication
-
R. Sepulchre, D. Paley, and N.E. Leonard, “Stabilization of planar collective motion: All-to-all communication,” IEEE Trans. Automat. Contr., vol. 52, no. 5, pp. 104–117, 2007.
-
(2007)
IEEE Trans. Automat. Contr.
, vol.52
, Issue.5
, pp. 104-117
-
-
Sepulchre, R.1
Paley, D.2
Leonard, N.E.3
-
26
-
-
34547798314
-
Graph Laplacian and Lyapunov design of collective planar motions
-
Bruges, Belgium, Oct.
-
R. Sepulchre, D. Paley, and N.E. Leonard, “Graph Laplacian and Lyapunov design of collective planar motions,” in Proc. Int. Symp. Nonlinear Theory Applications, Bruges, Belgium, Oct. 2005, pp. 217–232.
-
(2005)
Proc. Int. Symp. Nonlinear Theory Applications
, pp. 217-232
-
-
Sepulchre, R.1
Paley, D.2
Leonard, N.E.3
-
27
-
-
33947507473
-
Group coordination and cooperative control of steered particles in the plane, “Group Coordination and Cooperative Control
-
(Lecture Notes in Control and Information Sciences no. 336), K.Y. Pettersen, J.T. Gravdahl, and H. Nijmeijer, Eds. New York: Springer-Verlag
-
R. Sepulchre, D.A. Paley, and N.E. Leonard, “Group coordination and cooperative control of steered particles in the plane, in “Group Coordination and Cooperative Control,” (Lecture Notes in Control and Information Sciences no. 336), K.Y. Pettersen, J.T. Gravdahl, and H. Nijmeijer, Eds. New York: Springer-Verlag, 2006, pp. 217–232.
-
(2006)
, pp. 217-232
-
-
Sepulchre, R.1
Paley, D.A.2
Leonard, N.E.3
-
28
-
-
33847222499
-
Collective motion of ring-coupled planar particles
-
Seville, Spain, Dec.
-
J. Jeanne, N.E. Leonard, and D. Paley, “Collective motion of ring-coupled planar particles,” in Proc. 44th IEEE Conf. Decision Control, Seville, Spain, Dec. 2005, pp. 3929–3934.
-
(2005)
Proc. 44th IEEE Conf. Decision Control
, pp. 3929-3934
-
-
Jeanne, J.1
Leonard, N.E.2
Paley, D.3
-
29
-
-
34547781025
-
Collective motion of self-propelled particles: Stabilizing symmetric formations on closed curves
-
San Diego, CA, Dec.
-
D.A. Paley, N.E. Leonard, and R. Sepulchre, “Collective motion of self-propelled particles: Stabilizing symmetric formations on closed curves,” in Proc. 45th IEEE Conf. Decision Control, San Diego, CA, Dec. 2006, pp. 5067–5072.
-
(2006)
Proc. 45th IEEE Conf. Decision Control
, pp. 5067-5072
-
-
Paley, D.A.1
Leonard, N.E.2
Sepulchre, R.3
-
30
-
-
14344259560
-
Collective motion: Bistability and trajectory tracking
-
Nassau, Bahamas, Dec.
-
D. Paley, N.E. Leonard, and R. Sepulchre, “Collective motion: Bistability and trajectory tracking,” in Proc. 43rd IEEE Conf. Decision Control, Nassau, Bahamas, Dec. 2004, pp. 1932–1937.
-
(2004)
Proc. 43rd IEEE Conf. Decision Control
, pp. 1932-1937
-
-
Paley, D.1
Leonard, N.E.2
Sepulchre, R.3
-
32
-
-
13444292210
-
Information transfer, decision-making, and leadership in animal groups
-
I.D. Couzin, J. Krause, N.R. Franks, and S.A. Levin, “Information transfer, decision-making, and leadership in animal groups,” Nature, vol. 433, no. 7025, pp. 513–516, 2004.
-
(2004)
Nature
, vol.433
, Issue.7025
, pp. 513-516
-
-
Couzin, I.D.1
Krause, J.2
Franks, N.R.3
Levin, S.A.4
-
33
-
-
33947614935
-
Leadership in animal group motion: A bifurcation analysis
-
Kyoto, Japan, July
-
B. Nabet, N.E. Leonard, I. Couzin, and S. Levin, “Leadership in animal group motion: A bifurcation analysis,” in Proc. 17th Int. Symp. Mathematical Theory Networks Systems, Kyoto, Japan, July 2006, pp. 1–14.
-
(2006)
Proc. 17th Int. Symp. Mathematical Theory Networks Systems
, pp. 1-14
-
-
Nabet, B.1
Leonard, N.E.2
Couzin, I.3
Levin, S.4
-
34
-
-
34047244894
-
Heterogeneous animal group models and their group-level alignment dynamics: An equation-free approach
-
S.J. Moon, B. Nabet, N.E. Leonard, S.A. Levin, and I.G. Kevrekidis, “Heterogeneous animal group models and their group-level alignment dynamics: An equation-free approach,” J. Theoretical Biol., vol. 246, no. 1, pp. 100-112,2007.
-
(2007)
J. Theoretical Biol.
, vol.246
, Issue.1
, pp. 100-112
-
-
Moon, S.J.1
Nabet, B.2
Leonard, N.E.3
Levin, S.A.4
Kevrekidis, I.G.5
-
35
-
-
0004151494
-
Matrix Analysis
-
Cambridge, U.K.: Cambridge Univ. Press
-
R.A. Horn and C.R. Johnson, Matrix Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1985.
-
(1985)
-
-
Horn, R.A.1
Johnson, C.R.2
-
37
-
-
4644317383
-
Information flow and cooperative control of vehicle formations
-
J.A. Fax and R.M. Murray, “Information flow and cooperative control of vehicle formations,” IEEE Trans. Automat. Contr., vol. 49, no. 9, pp. 1465–1476, 2004.
-
(2004)
IEEE Trans. Automat. Contr.
, vol.49
, Issue.9
, pp. 1465-1476
-
-
Fax, J.A.1
Murray, R.M.2
-
38
-
-
33645776880
-
Toeplitz and circulant matrices: A review
-
R.M. Gray, “Toeplitz and circulant matrices: A review,” Found. Trends Commun. Inform. Theory, vol. 2, no. 3, pp. 155-239,2006.
-
(2006)
Found. Trends Commun. Inform. Theory
, vol.2
, Issue.3
, pp. 155-239
-
-
Gray, R.M.1
|