-
1
-
-
79958013221
-
Analysis and simulations of a refined flocking and swarming model of Cucker-Smale type
-
M. Agueh, R. Illner and A. Richardson, Analysis and simulations of a refined flocking and swarming model of Cucker-Smale type, Kinetic Relat. Models 4 (2011) 1-16.
-
Kinetic Relat. Models
, vol.4
, Issue.2011
, pp. 1-16
-
-
Agueh, M.1
Illner, R.2
Richardson, A.3
-
2
-
-
85008024215
-
A simulation study on the schooling mechanism in fish
-
I. Aoki, A simulation study on the schooling mechanism in fish, Bull. Jpn. Soc. Sci. Fisheries 48 (1982) 1081-1088.
-
(1982)
Bull. Jpn. Soc. Sci. Fisheries 48
, pp. 1081-1088
-
-
Aoki, I.1
-
3
-
-
67651146401
-
Discrete and continuous models of the dynamics of pelagic fish: Application to the capelin
-
A. Barbaro, K. Taylor, P. F. Trethewey, L. Youseff and B. Birnir, Discrete and continuous models of the dynamics of pelagic fish: Application to the capelin, Math. Comput. Simulation 79 (2009) 3397-3414.
-
(2009)
Math. Comput. Simulation
, vol.79
, pp. 3397-3414
-
-
Barbaro, A.1
Taylor, K.2
Trethewey, P.F.3
Youseff, L.4
Birnir, B.5
-
4
-
-
0040687609
-
Nonlinear self-stabilizing processes - I Existence, invariant probability, propagation of chaos
-
PII S0304414998000180
-
S. Benachour, B. Roynette, D. Talay and P. Vallois, Nonlinear self-stabilizing processes. I. Existence, invariant probability, propagation of chaos, Stochastic Process. Appl. 75 (1998) 173-201. (Pubitemid 128338599)
-
(1998)
Stochastic Processes and their Applications
, vol.75
, Issue.2
, pp. 173-201
-
-
Benachour, S.1
Roynette, B.2
Talay, D.3
Vallois, P.4
-
5
-
-
77956719419
-
Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation
-
F. Bolley, A. Guillin and F. Malrieu, Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation, Math. Model. Numer. Anal. 44 (2010) 867-884.
-
(2010)
Math. Model. Numer. Anal.
, vol.44
, pp. 867-884
-
-
Bolley, F.1
Guillin, A.2
Malrieu, F.3
-
6
-
-
0000009557
-
The Vlasov dynamics and its fluctuations in the 1/N limit of interacting classical particles
-
W. Braun and K. Hepp, The Vlasov dynamics and its fluctuations in the 1/N limit of interacting classical particles, Commun. Math. Phys. 56 (1977) 101-113.
-
(1977)
Commun. Math. Phys.
, vol.56
, pp. 101-113
-
-
Braun, W.1
Hepp, K.2
-
7
-
-
33846217387
-
On an aggregation model with long and short range interactions
-
DOI 10.1016/j.nonrwa.2006.04.002, PII S1468121806000514
-
M. Burger, V. Capasso and D. Morale, On an aggregation model with long and short range interactions, Nonlinear Anal. Real World Appl. 8 (2007) 939-958. (Pubitemid 46097518)
-
(2007)
Nonlinear Analysis: Real World Applications
, vol.8
, Issue.3
, pp. 939-958
-
-
Burger, M.1
Capasso, V.2
Morale, D.3
-
8
-
-
0003481309
-
-
Princeton University Press
-
S. Camazine, J.-L. Deneubourg, N. R. Franks, J. Sneyd, G. Theraulaz and E. Bonabeau, Self-Organization in Biological Systems (Princeton University Press, 2003).
-
(2003)
Self-Organization in Biological Systems
-
-
Camazine, S.1
Deneubourg, J.-L.2
Franks, N.R.3
Sneyd, J.4
Theraulaz, G.5
Bonabeau, E.6
-
9
-
-
79952831859
-
A well-posedness theory in measures for some kinetic models of collective motion
-
J. A. Cañizo, J. A. Carrillo and J. Rosado, A well-posedness theory in measures for some kinetic models of collective motion, Math. Models Methods Appl. Sci. 21 (2011) 515-539.
-
(2011)
Math. Models Methods Appl. Sci.
, vol.21
, pp. 515-539
-
-
Cañizo, J.A.1
Carrillo, J.A.2
Rosado, J.3
-
11
-
-
77954545287
-
Asymptotic flocking dynamics for the kinetic Cucker-Smale model
-
J. A. Carrillo, M. Fornasier, J. Rosado and G. Toscani, Asymptotic flocking dynamics for the kinetic Cucker-Smale model, SIAM J. Math. Anal. 42 (2010) 218-236.
-
(2010)
SIAM J. Math. Anal.
, vol.42
, pp. 218-236
-
-
Carrillo, J.A.1
Fornasier, M.2
Rosado, J.3
Toscani, G.4
-
12
-
-
84908447418
-
Particle, kinetic, and hydrodynamic models of swarming
-
eds. G. Naldi, L. Pareschi and G. Toscani, Birkḧauser
-
J. A. Carrillo, M. Fornasier, G. Toscani and F. Vecil, Particle, kinetic, and hydrodynamic models of swarming, in Mathematical Modeling of Collective Behavior in Socio Economic and Life Sciences, eds. G. Naldi, L. Pareschi and G. Toscani (Birkḧauser, 2010).
-
(2010)
Mathematical Modeling of Collective Behavior in Socio Economic and Life Sciences
-
-
Carrillo, J.A.1
Fornasier, M.2
Toscani, G.3
Vecil, F.4
-
13
-
-
36148968957
-
Probabilistic approach for granular media equations in the nonuniformly convex case
-
P. Cattiaux, A. Guillin and F. Malrieu, Probabilistic approach for granular media equations in the nonuniformly convex case, Probab. Theory Relate Fields 140 (2008) 19-40.
-
(2008)
Probab. Theory Relate Fields
, vol.140
, pp. 19-40
-
-
Cattiaux, P.1
Guillin, A.2
Malrieu, F.3
-
14
-
-
13444292210
-
Effective leadership and decision-making in animal groups on the move
-
DOI 10.1038/nature03236
-
I. D. Couzin, J. Krause, N. R. Franks and S. A. Levin, Effective leadership and decision making in animal groups on the move, Nature 433 (2005) 513-516. (Pubitemid 40204306)
-
(2005)
Nature
, vol.433
, Issue.7025
, pp. 513-516
-
-
Couzin, I.D.1
Krause, J.2
Franks, N.R.3
Levin, S.A.4
-
17
-
-
49449106913
-
Continuum limit of self-driven particles with orientation interaction
-
P. Degond and S. Motsch, Continuum limit of self-driven particles with orientation interaction, Math. Models Methods Appl. Sci. 18 (2008) 1193-1215.
-
(2008)
Math. Models Methods Appl. Sci.
, vol.18
, pp. 1193-1215
-
-
Degond, P.1
Motsch, S.2
-
18
-
-
0001397844
-
Vlasov equations
-
R. Dobrushin, Vlasov equations, Funct. Anal. Appl. 13 (1979) 115-123.
-
(1979)
Funct. Anal. Appl.
, vol.13
, pp. 115-123
-
-
Dobrushin, R.1
-
19
-
-
33644946843
-
Self-propelled particles with soft-core interactions: Patterns, stability, and collapse
-
M. R. D'Orsogna, Y. L. Chuang, A. L. Bertozzi and L. Chayes, Self-propelled particles with soft-core interactions: Patterns, stability, and collapse, Phys. Rev. Lett. 96 (2006).
-
(2006)
Phys. Rev. Lett.
, vol.96
-
-
D'Orsogna, M.R.1
Chuang, Y.L.2
Bertozzi, A.L.3
Chayes, L.4
-
22
-
-
77954553946
-
Emergent behavior of a Cucker-Smale type particle model with nonlinear velocity couplings
-
S.-Y. Ha, T. Ha and J. Ho Kim, Emergent behavior of a Cucker-Smale type particle model with nonlinear velocity couplings, IEEE Trans. Autom. Control 55 (2010) 1679-1683.
-
(2010)
IEEE Trans. Autom. Control
, vol.55
, pp. 1679-1683
-
-
Ha, S.-Y.1
Ha, T.2
Ho Kim, J.3
-
23
-
-
69249175944
-
From particle to kinetic and hydrodynamic descriptions of flocking
-
S.-Y. Ha and E. Tadmor, From particle to kinetic and hydrodynamic descriptions of flocking, Kinetic Related Models 1 (2008) 415-435.
-
(2008)
Kinetic Related Models
, vol.1
, pp. 415-435
-
-
Ha, S.-Y.1
Tadmor, E.2
-
24
-
-
39049161138
-
Self-organized shape and frontal density of fish schools
-
DOI 10.1111/j.1439-0310.2007.01459.x
-
C. K. Hemelrijk and H. Hildenbrandt, Self-organized shape and frontal density of fish schools, Ethology 114 (2008) 245-254. (Pubitemid 351248575)
-
(2008)
Ethology
, vol.114
, Issue.3
, pp. 245-254
-
-
Hemelrijk, C.K.1
Hildenbrandt, H.2
-
25
-
-
0026615712
-
The simulation of the movement of fish schools
-
A. Huth and C. Wissel, The simulation of the movement of fish schools, J. Theoret. Biol. 156 (1992) 365-385. (Pubitemid 24408326)
-
(1992)
Journal of Theoretical Biology
, vol.156
, Issue.3
, pp. 365-385
-
-
Huth, A.1
Wissel, C.2
-
26
-
-
41449112775
-
Minimal mechanisms for school formation in self-propelled particles
-
DOI 10.1016/j.physd.2007.10.009, PII S0167278907003855
-
Y. X. Li, R. Lukeman and L. Edelstein-Keshet, Minimal mechanisms for school formation in self-propelled particles, Physica D 237 (2008) 699-720. (Pubitemid 351458552)
-
(2008)
Physica D: Nonlinear Phenomena
, vol.237
, Issue.5
, pp. 699-720
-
-
Li, Y.-X.1
Lukeman, R.2
Edelstein-Keshet, L.3
-
27
-
-
0042408385
-
Logarithmic Sobolev inequalities for some nonlinear PDE's
-
DOI 10.1016/S0304-4149(01)00095-3, PII S0304414901000953
-
F. Malrieu, Logarithmic Sobolev inequalities for some nonlinear PDE's, Stochastic Process. Appl. 95 (2001) 109-132. (Pubitemid 33619351)
-
(2001)
Stochastic Processes and their Applications
, vol.95
, Issue.1
, pp. 109-132
-
-
Malrieu, F.1
-
29
-
-
52349116608
-
Propagation of chaos for a class of non-linear parabolic equations
-
Catholic Univ.
-
H. P. McKean, Propagation of chaos for a class of non-linear parabolic equations, in Lecture Series in Differential Equations, Session 7 (Catholic Univ., 1967).
-
(1967)
Lecture Series in Differential Equations, Session 7
-
-
McKean, H.P.1
-
31
-
-
13844298300
-
An interacting particle system modelling aggregation behavior: From individuals to populations
-
DOI 10.1007/s00285-004-0279-1
-
D. Morale, V. Capasso and K. Oelschl̈ager, An interacting particle system modelling aggregation behavior: From individuals to populations, J. Math. Biol. 50 (2005) 49-66. (Pubitemid 40240753)
-
(2005)
Journal of Mathematical Biology
, vol.50
, Issue.1
, pp. 49-66
-
-
Morale, D.1
Capasso, V.2
Oelschlager, K.3
-
33
-
-
0033515748
-
Complexity, pattern, and evolutionary trade-offs in animal aggregation
-
DOI 10.1126/science.284.5411.99
-
J. Parrish and L. Edelstein-Keshet, Complexity, pattern, and evolutionary trade-offs in animal aggregation, Science 294 (1999) 99-101. (Pubitemid 29282054)
-
(1999)
Science
, vol.284
, Issue.5411
, pp. 99-101
-
-
Parrish, J.K.1
Edelstein-Keshet, L.2
-
36
-
-
37349070894
-
Optimal transport
-
Springer
-
C. Villani, Optimal Transport, Old and New (Springer, 2009).
-
(2009)
Old and New
-
-
Villani, C.1
-
37
-
-
65249180170
-
Inherent noise can facilitate coherence in collective swarm motion
-
C. Yates, R. Erban, C. Escudero, L. Couzin, J. Buhl, L. Kevrekidis, P. Maini and D. Sumpter, Inherent noise can facilitate coherence in collective swarm motion, Proc. Natl. Acad. Sci. USA 106 (2009) 5464-5469.
-
(2009)
Proc. Natl. Acad. Sci. USA
, vol.106
, pp. 5464-5469
-
-
Yates, C.1
Erban, R.2
Escudero, C.3
Couzin, L.4
Buhl, J.5
Kevrekidis, L.6
Maini, P.7
Sumpter, D.8
|