-
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, Kinet. Relat. Models, 4 (2011), pp. 1-16.
-
(2011)
Kinet. Relat. Models
, vol.4
, pp. 1-16
-
-
Agueh, M.1
Illner, R.2
Richardson, A.3
-
2
-
-
0141793972
-
Approximations par ondelettes d'un opérateur de collision en théorie cinétique
-
DOI 10.1016/S1631-073X(03)00345-5
-
X. Antoine and M. Lemou, Wavelet approximations of a collision operator in kinetic theory, C. R. Math. Acad. Sci. Paris, 337 (2003), pp. 353-358. (Pubitemid 37223494)
-
(2003)
Comptes Rendus Mathematique
, vol.337
, Issue.5
, pp. 353-358
-
-
Antoine, X.1
Lemou, M.2
-
3
-
-
85008024215
-
A simulation study on the schooling mechanism in fish
-
I. Aoki, A simulation study on the schooling mechanism in fish, Bull. Jap. Soc. Sci. Fish., 48 (1982), pp. 1081-1088.
-
(1982)
Bull. Jap. Soc. Sci. Fish
, vol.48
, pp. 1081-1088
-
-
Aoki, I.1
-
4
-
-
0022593645
-
On a simulation scheme for the boltzmann equation
-
H. Babovsky, On a simulation scheme for the Boltzmann equation, Math. Methods Appl. Sci., 8 (1986), pp. 223-233.
-
(1986)
Math. Methods Appl. Sci
, vol.8
, pp. 223-233
-
-
Babovsky, H.1
-
5
-
-
39549102191
-
Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study
-
DOI 10.1073/pnas.0711437105
-
M. Ballerini, N. Cabibbo, R. Candelier, A. Cavagna, E. Cisbani, I. Giardina, V. Lecomte, A. Orlandi, G. Parisi, A. Procaccini, M. Viale, and V. Zdravkovic, Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study, Proc. Natl. Acad. Sci. USA, 105 (2008), pp. 1232-1237. (Pubitemid 351397036)
-
(2008)
Proceedings of the National Academy of Sciences of the United States of America
, vol.105
, Issue.4
, pp. 1232-1237
-
-
Ballerini, M.1
Cabibbo, N.2
Candelier, R.3
Cavagna, A.4
Cisbani, E.5
Giardina, I.6
Lecomte, V.7
Orlandi, A.8
Parisi, G.9
Procaccini, A.10
Viale, M.11
Zdravkovic, V.12
-
6
-
-
84990610636
-
Fast wavelet transforms and numerical algorithms. I
-
G. Beylkin, R. Coifman, and V. Rokhlin, Fast wavelet transforms and numerical algorithms. I, Comm. Pure Appl. Math., 44 (1991), pp. 141-183.
-
(1991)
Comm. Pure Appl. Math
, vol.44
, pp. 141-183
-
-
Beylkin, G.1
Coifman, R.2
Rokhlin, V.3
-
7
-
-
0001319577
-
Approach to translational equilibrium in a rigid sphere gas
-
G. A. Bird, Approach to translational equilibrium in a rigid sphere gas, Phys. Fluids, 6 (1963), pp. 1518-1519.
-
(1963)
Phys. Fluids
, vol.6
, pp. 1518-1519
-
-
Bird, G.A.1
-
8
-
-
0000079002
-
Theory of collision algorithms for gases and plasmas based on the boltzmann equation and the landau-fokker-lanck equation
-
A. V. Bobylev and K. Nanbu, Theory of collision algorithms for gases and plasmas based on the Boltzmann equation and the Landau-Fokker-Planck equation, Phys. Rev. E, 61 (2000), pp. 4576-4586.
-
(2000)
Phys. Rev. E
, vol.61
, pp. 4576-4586
-
-
Bobylev, A.V.1
Nanbu, K.2
-
9
-
-
85011514513
-
Monte carlo and quasi-monte carlo methods
-
Cambridge University Press, Cambridge, UK
-
R. E. Caflisch, Monte Carlo and quasi-Monte Carlo methods, in Acta Numerica, 1998, Cambridge University Press, Cambridge, UK, 1998, pp. 1-49.
-
(1998)
Acta Numerica
, vol.1998
, pp. 1-49
-
-
Caflisch, R.E.1
-
10
-
-
33947416035
-
Near-optimal signal recovery from random projections: Universal encoding strategies?
-
DOI 10.1109/TIT.2006.885507
-
E. J. Candes and T. Tao, Near-optimal signal recovery from random projections: Universal encoding strategies?, IEEE Trans. Inform. Theory, 52 (2006), pp. 5406-5425. (Pubitemid 46445381)
-
(2006)
IEEE Transactions on Information Theory
, vol.52
, Issue.12
, pp. 5406-5425
-
-
Candes, E.J.1
Tao, T.2
-
11
-
-
79952831859
-
A well-osedness theory in measures for some kinetic models of collective motion
-
J. A. Canizo, J. A. Carrillo, and J. Rosado, A well-osedness theory in measures for some kinetic models of collective motion, Math. Models Methods Appl. Sci., 21 (2011), pp. 515-539.
-
(2011)
Math. Models Methods Appl. Sci
, vol.21
, pp. 515-539
-
-
Canizo, J.A.1
Carrillo, J.A.2
Rosado, J.3
-
12
-
-
69849111705
-
Double milling in self-ropelled swarms from kinetic theory
-
J. A. Carrillo, M. R. D'Orsogna, and V. Panferov, Double milling in self-ropelled swarms from kinetic theory, Kinet. Relat. Models, 2 (2009), pp. 363-378.
-
(2009)
Kinet. Relat. Models
, vol.2
, pp. 363-378
-
-
Carrillo, J.A.1
D'Orsogna, M.R.2
Panferov, V.3
-
13
-
-
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), pp. 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
-
14
-
-
84908447418
-
Particle, kinetic, and hydrodynamic models of swarming, in mathematical modeling of collective behavior in socioeconomic and life sciences
-
Birkhauser Boston, Boston, MA
-
J. A. Carrillo, M. Fornasier, G. Toscani, and F. Vecil, Particle, kinetic, and hydrodynamic models of swarming, in Mathematical Modeling of Collective Behavior in Socioeconomic and Life Sciences, Model. Simul. Sci. Eng. Technol., Birkhauser Boston, Boston, MA, 2010, pp. 297-336.
-
(2010)
Model. Simul. Sci. Eng. Technol
, pp. 297-336
-
-
Carrillo, J.A.1
Fornasier, M.2
Toscani, G.3
Vecil, F.4
-
15
-
-
77957122904
-
Self-ropelled interacting particle systems with roosting force
-
J. A. Carrillo, A. Klar, S. Martin, and S. Tiwari, Self-ropelled interacting particle systems with roosting force, Math. Models Methods Appl. Sci., 20 (2010), pp. 1533-1552.
-
(2010)
Math. Models Methods Appl. Sci
, vol.20
, pp. 1533-1552
-
-
Carrillo, J.A.1
Klar, A.2
Martin, S.3
Tiwari, S.4
-
16
-
-
0036406983
-
Collective memory and spatial sorting in animal groups
-
DOI 10.1006/jtbi.2002.3065
-
I. D. Couzin, J. Krause, R. James, G. D. Ruxton, and N. R. Franks, Collective memory and spatial sorting in animal groups, J. Theoret. Biol., 218 (2002), pp. 1-11. (Pubitemid 35217564)
-
(2002)
Journal of Theoretical Biology
, 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
-
17
-
-
85016429292
-
Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints, in mathematical modeling of collective behavior in socio-economic and life sciences
-
Birkhauser Boston, Boston, MA
-
E. Cristiani, B. Piccoli, and A. Tosin, Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints, in Mathematical Modeling of Collective Behavior in Socio-economic and Life Sciences, Model. Simul. Sci. Eng. Technol., Birkhauser Boston, Boston, MA, 2010, pp. 337-364.
-
Model. Simul. Sci. Eng. Technol
, vol.2010
, pp. 337-364
-
-
Cristiani, E.1
Piccoli, B.2
Tosin, A.3
-
18
-
-
34047112216
-
On the mathematics of emergence
-
F. Cucker and S. Smale, On the mathematics of emergence, Jpn. J. Math., 2 (2007), pp. 197-227.
-
(2007)
Jpn. J. Math
, vol.2
, pp. 197-227
-
-
Cucker, F.1
Smale, S.2
-
19
-
-
34249106048
-
Emergent behavior in flocks
-
DOI 10.1109/TAC.2007.895842
-
F. Cucker and S. Smale, Emergent behavior in flocks, IEEE Trans. Automat. Control, 52 (2007), pp. 852-862. (Pubitemid 46796070)
-
(2007)
IEEE Transactions on Automatic Control
, vol.52
, Issue.5
, pp. 852-862
-
-
Cucker, F.1
Smale, S.2
-
20
-
-
77954422075
-
Autonomous formation flying-tandem-x, prisma and beyond
-
S. D'Amico, J.-S. Ardaens, S. De Florio, and O. Montenbruck, Autonomous formation flying-Tandem-x, Prisma and beyond, in Proceedings of the 5th International Workshop on Satellite Constellation & Formation Flying, 2008.
-
(2008)
Proceedings of the 5th International Workshop on Satellite Constellation & Formation Flying
-
-
D'Amico, S.1
Ardaens, J.-S.2
De Florio, S.3
Montenbruck, O.4
-
21
-
-
36148999055
-
Macroscopic limit of self-driven particles with orientation interaction
-
P. Degond and S. Motsch, Macroscopic limit of self-driven particles with orientation interaction, C. R. Math. Acad. Sci. Paris, 345 (2007), pp. 555-560.
-
(2007)
C. R. Math. Acad. Sci. Paris
, vol.345
, pp. 555-560
-
-
Degond, P.1
Motsch, S.2
-
22
-
-
84873140384
-
Direct simulation monte carlo schemes for coulomb interactions in plasmas
-
G. Dimarco, R. Caflisch, and L. Pareschi, Direct simulation Monte Carlo schemes for Coulomb interactions in plasmas, Commun. Appl. Ind. Math., 1 (1) (2010), pp. 72-91.
-
(2010)
Commun. Appl. Ind. Math
, vol.1
, Issue.1
, pp. 72-91
-
-
Dimarco, G.1
Caflisch, R.2
Pareschi, L.3
-
23
-
-
33644946843
-
Self-ropelled particles with soft-core interactions: Patterns, stability, and collapse
-
M. R. D'Orsogna, Y. L. Chuang, A. L. Bertozzi, and L. S. Chayes, Self-ropelled particles with soft-core interactions: Patterns, stability, and collapse, Phys. Rev. Lett., 96 (2006), 104302.
-
(2006)
Phys. Rev. Lett
, vol.96
, pp. 104302
-
-
D'Orsogna, M.R.1
Chuang, Y.L.2
Bertozzi, A.L.3
Chayes, L.S.4
-
24
-
-
0346432509
-
Visual perception and social foraging in birds
-
DOI 10.1016/j.tree.2003.10.003
-
E. Ferńandez-Juricic, J. T. Erichsen, and A. Kacelnik, Visual perception and social foraging in birds, Trends Ecol. Evol., 19 (2004), pp. 25-31. (Pubitemid 38024778)
-
(2004)
Trends in Ecology and Evolution
, vol.19
, Issue.1
, pp. 25-31
-
-
Fernandez-Juricic, E.1
Erichsen, J.T.2
Kacelnik, A.3
-
25
-
-
1642410692
-
Flock density, social foraging, and scanning: An experiment with starlings
-
DOI 10.1093/beheco/arh017
-
E. Ferńandez-Juricic, S. Siller, and A. Kacelnik, Flock density, social foraging, and scanning: An experiment with starlings, Behav. Ecol., 15 (2004), pp. 371-379. (Pubitemid 38751692)
-
(2004)
Behavioral Ecology
, vol.15
, Issue.3
, pp. 371-379
-
-
Fernandez-Juricic, E.1
Siller, S.2
Kacelnik, A.3
-
26
-
-
84856512030
-
Particle systems and kinetic equations modeling interacting agents in high dimension
-
M. Fornasier, J. Haskovec, and J. Vyb́iral, Particle systems and kinetic equations modeling interacting agents in high dimension, Multiscale Model. Simul., 9 (2011), pp. 1727-1764.
-
(2011)
Multiscale Model. Simul
, vol.9
, pp. 1727-1764
-
-
Fornasier, M.1
Haskovec, J.2
Vyb́iral, J.3
-
27
-
-
0000396658
-
A fast algorithm for particle simulations
-
L. Greengard and V. Rokhlin, A fast algorithm for particle simulations, J. Comput. Phys., 73 (1987), pp. 325-348.
-
(1987)
J. Comput. Phys
, vol.73
, pp. 325-348
-
-
Greengard, L.1
Rokhlin, V.2
-
28
-
-
70350482936
-
A simple proof of the cucker-smale flocking dynamics and mean-field limit
-
S. Ha and J. Liu, A simple proof of the Cucker-Smale flocking dynamics and mean-field limit, Commun. Math. Sci., 7 (2009), pp. 297-325.
-
(2009)
Commun. Math. Sci
, vol.7
, pp. 297-325
-
-
Ha, S.1
Liu, J.2
-
29
-
-
69249175944
-
From particle to kinetic and hydrodynamic descriptions of flocking
-
S. Ha and E. Tadmor, From particle to kinetic and hydrodynamic descriptions of flocking, Kinet. Relat. Models, 1 (2008), pp. 415-435.
-
(2008)
Kinet. Relat. Models
, vol.1
, pp. 415-435
-
-
Ha, S.1
Tadmor, E.2
-
30
-
-
78649390555
-
Self-organized aerial displays of thousands of starlings: A model
-
H. Hildenbrandt, C. Carere, and C. K. Hemelrijk, Self-organized aerial displays of thousands of starlings: A model, Behav. Ecol., 21 (2010), pp. 1349-1359.
-
(2010)
Behav. Ecol
, vol.21
, pp. 1349-1359
-
-
Hildenbrandt, H.1
Carere, C.2
Hemelrijk, C.K.3
-
31
-
-
0028554218
-
The simulation of fish schools in comparison with experimental data
-
A. Huth and C. Wissel, The simulation of fish schools in comparison with experimental data, Ecol. Model., 75 (1994), pp. 135-146.
-
(1994)
Ecol. Model
, vol.75
, pp. 135-146
-
-
Huth, A.1
Wissel, C.2
-
32
-
-
85060963553
-
-
Ph.D. thesis, NTNU, Trondheim, Norway
-
T. R. Krogstad, Attitude Synchronization in Spacecraft Formations: Theoretical and Experimental Results, Ph.D. thesis, NTNU, Trondheim, Norway, 2009.
-
(2009)
Attitude Synchronization in Spacecraft Formations: Theoretical and Experimental Results
-
-
Krogstad, T.R.1
-
33
-
-
74349110605
-
A fast algorithm for simulation of flocking behavior
-
J. M. Lee, S. H. Cho, and R. A. Calvo, A fast algorithm for simulation of flocking behavior, in Proceedings of the IEEE Games Innovation Conference (ICE-GIC 09), 2009, pp. 186-190.
-
(2009)
Proceedings Of The IEEE Games Innovation Conference (ICE-GIC 09)
, pp. 186-190
-
-
Lee, J.M.1
Cho, S.H.2
Calvo, R.A.3
-
34
-
-
0032338331
-
Multipole expansions for the fokker-lanck-landau operator
-
M. Lemou, Multipole expansions for the Fokker-Planck-Landau operator, Numer. Math., 78 (1998), pp. 597-618.
-
(1998)
Numer. Math
, vol.78
, pp. 597-618
-
-
Lemou, M.1
-
35
-
-
0027389754
-
Kinetics of a one-dimensional granular medium in the quasi-elastic limit
-
S. McNamara and W. R. Young, Kinetics of a one-dimensional granular medium in the quasi-elastic limit, Phys. Fluids A, 5 (1995), pp. 34-45.
-
(1995)
Phys. Fluids A
, vol.5
, pp. 34-45
-
-
McNamara, S.1
Young, W.R.2
-
36
-
-
80052720258
-
A new model for self-organized dynamics and its flocking behavior
-
S. Motsch and E. Tadmor, A new model for self-organized dynamics and its flocking behavior, J. Stat. Phys., 144 (2011), pp. 923-947.
-
(2011)
J. Stat. Phys
, vol.144
, pp. 923-947
-
-
Motsch, S.1
Tadmor, E.2
-
37
-
-
33750849491
-
Fast algorithms for computing the Boltzmann collision operator
-
DOI 10.1090/S0025-5718-06-01874-6, PII S0025571806018746
-
C. Mouhot and L. Pareschi, Fast algorithms for computing the Boltzmann collision operator, Math. Comp., 75 (2006), pp. 1833-1852. (Pubitemid 44719733)
-
(2006)
Mathematics of Computation
, vol.75
, Issue.256
, pp. 1833-1852
-
-
Mouhot, C.1
Pareschi, L.2
-
38
-
-
79951517103
-
Mathematical modeling of collective behavior in socio-economic and life sciences
-
Birkhauser Boston, Boston, MA
-
G. Naldi, L. Pareschi, and G. Toscani, eds., Mathematical Modeling of Collective Behavior in Socio-economic and Life Sciences, Model. Simul. Sci. Eng. Technol., Birkhauser Boston, Boston, MA, 2010.
-
Model. Simul. Sci. Eng. Technol
, vol.2010
-
-
Naldi, G.1
Pareschi, L.2
Toscani, G.3
-
39
-
-
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., 22 (1986), pp. 1-94.
-
(1986)
Adv. Biophys
, vol.22
, pp. 1-94
-
-
Okubo, A.1
-
40
-
-
0742302545
-
An introduction to monte carlo methods for the boltzmann equation in cemracs 1999 (orsay
-
Paris
-
L. Pareschi and G. Russo, An introduction to Monte Carlo methods for the Boltzmann equation, in CEMRACS 1999 (Orsay), ESAIM Proc. 10, Soc. Math. Appl. Indust., Paris, 1999, pp. 35-76.
-
(1999)
ESAIM Proc. 10, Soc. Math. Appl. Indust
, pp. 35-76
-
-
Pareschi, L.1
Russo, G.2
-
41
-
-
0011368669
-
On the boltzmann equation in the kinetic theory of gases
-
A. Ja. Povzner, On the Boltzmann equation in the kinetic theory of gases, Mat. Sb. (N.S.), 58 (1962), pp. 65-86.
-
(1962)
Mat. Sb. (N.S.)
, vol.58
, pp. 65-86
-
-
Povzner, A.Ja.1
-
42
-
-
0023379184
-
Flocks, herds and schools: A distributed behavioral model
-
C. W. Reynolds, Flocks, herds and schools: A distributed behavioral model, Comput. Graph., 21 (1987), pp. 25-34.
-
(1987)
Comput. Graph
, vol.21
, pp. 25-34
-
-
Reynolds, C.W.1
-
43
-
-
0001730998
-
Novel type of phase transition in a system of self-driven particles
-
T. Vicsek, A. Cziŕok, E. Ben-Jacob, I. Cohen, and O. Shochet, Novel type of phase transition in a system of self-driven particles, Phys. Rev. Lett., 75 (1995), pp. 1226-1229.
-
(1995)
Phys. Rev. Lett
, vol.75
, pp. 1226-1229
-
-
Vicsek, T.1
Cziŕok, A.2
Ben-Jacob, E.3
Cohen, I.4
Shochet, O.5
-
44
-
-
65249180170
-
Inherent noise can facilitate coherence in collective swarm motion
-
C. A. Yates, R. Erban, C. Escudero, I. D. Couzin, J. Buhl, I. G. Kevrekidis, P. K. Maini, and D. J. T. Sumpter, Inherent noise can facilitate coherence in collective swarm motion, Proc. Natl. Acad. Sci. USA, 106 (2010), pp. 5464-5469.
-
(2010)
Proc. Natl. Acad. Sci. USA
, vol.106
, pp. 5464-5469
-
-
Yates, C.A.1
Erban, R.2
Escudero, C.3
Couzin, I.D.4
Buhl, J.5
Kevrekidis, I.G.6
Maini, P.K.7
Sumpter, D.J.T.8
|