-
1
-
-
0038403553
-
Phase transitions in self-driven many-particle systems and related non-equilibrium models: A network approach
-
Aldana, M., Huepe, C., 2003. Phase transitions in self-driven many-particle systems and related non-equilibrium models: A network approach. J. Stat. Phys. 112(1-2), 135-153.
-
(2003)
J. Stat. Phys.
, vol.112
, Issue.1-2
, pp. 135-153
-
-
Aldana, M.1
Huepe, C.2
-
2
-
-
0013633469
-
Degenerate diffusion equations with drift functionals modeling aggregation
-
Alt, W., 1985. Degenerate diffusion equations with drift functionals modeling aggregation. Nonlinear Anal. 9, 811-836.
-
(1985)
Nonlinear Anal.
, vol.9
, pp. 811-836
-
-
Alt, W.1
-
3
-
-
45149136104
-
Spectral comparison principles for the Cahn-Hilliard and phase-field equations, and time scales for coarsening
-
Bates, P., Fife, P., 1990. Spectral comparison principles for the Cahn-Hilliard and phase-field equations, and time scales for coarsening. Physica D 43(2-3), 335-348.
-
(1990)
Physica D
, vol.43
, Issue.2-3
, pp. 335-348
-
-
Bates, P.1
Fife, P.2
-
4
-
-
0034211858
-
Cooperative self-organization of microorganisms
-
Ben-Jacob, E., Cohen, I., Levine, H., 2000. Cooperative self-organization of microorganisms. Adv. Phys. 49(4), 395-554.
-
(2000)
Adv. Phys.
, vol.49
, Issue.4
, pp. 395-554
-
-
Ben-Jacob, E.1
Cohen, I.2
Levine, H.3
-
5
-
-
0035604753
-
Dewetting films: Bifurcations and concentrations
-
Bertozzi, A., Grün, G., Witelski, T., 2001. Dewetting films: Bifurcations and concentrations. Nonlinearity 14(6), 1569-1592.
-
(2001)
Nonlinearity
, vol.14
, Issue.6
, pp. 1569-1592
-
-
Bertozzi, A.1
Grün, G.2
Witelski, T.3
-
6
-
-
0000578613
-
Equations descriptive of fish schools and other animal aggregations
-
Breder, C., 1954. Equations descriptive of fish schools and other animal aggregations. Ecology 35(3), 361-370.
-
(1954)
Ecology
, vol.35
, Issue.3
, pp. 361-370
-
-
Breder, C.1
-
7
-
-
9744253079
-
Euclidean shift-twist symmetry in population models of self-aligning objects
-
Bressloff, P., 2004. Euclidean shift-twist symmetry in population models of self-aligning objects. SIAM J. Appl. Math. 64(5), 1668-1690.
-
(2004)
SIAM J. Appl. Math.
, vol.64
, Issue.5
, pp. 1668-1690
-
-
Bressloff, P.1
-
8
-
-
0000170952
-
Spinodal decomposition
-
Cahn, J., 1968. Spinodal decomposition. Trans. Metall. Soc. AIME 242, 166-180.
-
(1968)
Trans. Metall. Soc. AIME
, vol.242
, pp. 166-180
-
-
Cahn, J.1
-
9
-
-
0003481309
-
-
Princeton University Press, Princeton, NJ
-
Camazine, S., Deneubourg, J., Franks, N., Sneyd, J., Theraulaz, G., Bonabeau, E., 2001. Self-Organization in Biological Systems. Princeton Studies in Complexity. Princeton University Press, Princeton, NJ.
-
(2001)
Self-Organization in Biological Systems. Princeton Studies in Complexity
-
-
Camazine, S.1
Deneubourg, J.2
Franks, N.3
Sneyd, J.4
Theraulaz, G.5
Bonabeau, E.6
-
10
-
-
0036406983
-
Collective memory and spatial sorting in animal groups
-
Couzin, I., Krause, J., James, R., Ruxton, G., Franks, N., 2002. Collective memory and spatial sorting in animal groups. J. Theor. Biol. 218(1), 1-11.
-
(2002)
J. Theor. Biol.
, vol.218
, Issue.1
, pp. 1-11
-
-
Couzin, I.1
Krause, J.2
James, R.3
Ruxton, G.4
Franks, N.5
-
11
-
-
0000040998
-
Introduction to bifurcation theory
-
Crawford, J., 1991. Introduction to bifurcation theory. Rev. Mod. Phys. 63(4), 991-1037.
-
(1991)
Rev. Mod. Phys.
, vol.63
, Issue.4
, pp. 991-1037
-
-
Crawford, J.1
-
12
-
-
12044252828
-
Pattern formation outside of equilibrium
-
Cross, M., Hohenberg, P., 1993. Pattern formation outside of equilibrium. Rev. Mod. Phys. 65(3), 851-1112.
-
(1993)
Rev. Mod. Phys.
, vol.65
, Issue.3
, pp. 851-1112
-
-
Cross, M.1
Hohenberg, P.2
-
13
-
-
0021601406
-
Aggregative effects for a reaction-advection equation
-
dal Passo, R., Demottoni, P., 1984. Aggregative effects for a reaction-advection equation. J. Math. Biol. 20, 103-112.
-
(1984)
J. Math. Biol.
, vol.20
, pp. 103-112
-
-
Dal Passo, R.1
Demottoni, P.2
-
14
-
-
0141576240
-
Do travelling band solutions describe cohesive swarms? An investigation for migratory locusts
-
Edelstein-Keshet, L., Watmough, J., Grünbaum, D., 1998. Do travelling band solutions describe cohesive swarms? An investigation for migratory locusts. J. Math. Biol. 36(6), 515-549.
-
(1998)
J. Math. Biol.
, vol.36
, Issue.6
, pp. 515-549
-
-
Edelstein-Keshet, L.1
Watmough, J.2
Grünbaum, D.3
-
15
-
-
0000772195
-
On a stationary state characterization of transition from spinodal decomposition to nucleation behaviour in the Cahn-Hilliard model of phase separation
-
Eilbeck, J., Furter, J., Grinfeld, M., 1989. On a stationary state characterization of transition from spinodal decomposition to nucleation behaviour in the Cahn-Hilliard model of phase separation. Phys. Lett. A 135(4-5), 272-275.
-
(1989)
Phys. Lett. A
, vol.135
, Issue.4-5
, pp. 272-275
-
-
Eilbeck, J.1
Furter, J.2
Grinfeld, M.3
-
16
-
-
0042030618
-
Collective motion of Brownian particles with hydrodynamic interactions
-
Erdmann, U., Ebeling, W., 2003. Collective motion of Brownian particles with hydrodynamic interactions. Fluct. Noise Lett. 3(2), L145-L154.
-
(2003)
Fluct. Noise Lett.
, vol.3
, Issue.2
-
-
Erdmann, U.1
Ebeling, W.2
-
17
-
-
41349093758
-
Excitation of rotational modes in two-dimensional systems of driven Brownian particles
-
Erdmann, U., Ebeling, W., Anishchenko, V., 2002. Excitation of rotational modes in two-dimensional systems of driven Brownian particles. Phys. Rev. E 65, 061106.1-061106.9.
-
(2002)
Phys. Rev. E
, vol.65
-
-
Erdmann, U.1
Ebeling, W.2
Anishchenko, V.3
-
18
-
-
0033590683
-
From individuals to aggregations: The interplay between behavior and physics
-
Flierl, G., Grünbaum, D., Levin, S., Olson, D., 1999. From individuals to aggregations: The interplay between behavior and physics. J. Theor. Biol. 196(4), 397-454.
-
(1999)
J. Theor. Biol.
, vol.196
, Issue.4
, pp. 397-454
-
-
Flierl, G.1
Grünbaum, D.2
Levin, S.3
Olson, D.4
-
19
-
-
0038394375
-
Coarsening dynamics of dewetting films
-
Glasner, K., Witelski, T., 2003. Coarsening dynamics of dewetting films. Phys. Rev. E 67, 016302.1-016302.12.
-
(2003)
Phys. Rev. E
, vol.67
-
-
Glasner, K.1
Witelski, T.2
-
20
-
-
17444437767
-
Onset of collective and cohesive motion
-
Grégoire, G., Chaté, H., 2004. Onset of collective and cohesive motion. Phys. Rev. Lett. 92(2), 025702.1-025702.4.
-
(2004)
Phys. Rev. Lett.
, vol.92
, Issue.2
-
-
Grégoire, G.1
Chaté, H.2
-
21
-
-
18344397411
-
Active and passive particles: Modeling beads in a bacterial bath
-
Grégoire, G., Chaté, H., Tu, Y., 2001. Active and passive particles: Modeling beads in a bacterial bath. Phys. Rev. E 64(1), 011902.1-011902.7.
-
(2001)
Phys. Rev. E
, vol.64
, Issue.1
-
-
Grégoire, G.1
Chaté, H.2
Tu, Y.3
-
22
-
-
0037774821
-
Moving and staying together without a leader
-
Grégoire, G., Chaté, H., Tu, Y., 2003. Moving and staying together without a leader. Physica D 181(3-4), 157-170.
-
(2003)
Physica D
, vol.181
, Issue.3-4
, pp. 157-170
-
-
Grégoire, G.1
Chaté, H.2
Tu, Y.3
-
23
-
-
0000754593
-
Modelling social animal aggregations
-
Levin, S. (Ed.), Frontiers in Mathematical Biology. Springer-Verlag, Berlin
-
Grünbaum, D., Okubo, A., 1994. Modelling social animal aggregations. In: Levin, S. (Ed.), Frontiers in Mathematical Biology. Lecture Notes in Biomathematics, vol. 100. Springer-Verlag, Berlin, pp. 296-325.
-
(1994)
Lecture Notes in Biomathematics
, vol.100
, pp. 296-325
-
-
Grünbaum, D.1
Okubo, A.2
-
24
-
-
28844432303
-
Aggregation of finite size particles with variable mobility
-
Holm, D., Putkaradze, V., 2005. Aggregation of finite size particles with variable mobility, Phys. Rev. Lett. 95(22), 226106.1-226106.4.
-
(2005)
Phys. Rev. Lett.
, vol.95
, Issue.22
-
-
Holm, D.1
Putkaradze, V.2
-
25
-
-
0006843463
-
Localized cluster solutions of nonlinear degenerate diffusion equations arising in population dynamics
-
Hosono, Y., Mimura, M., 1989. Localized cluster solutions of nonlinear degenerate diffusion equations arising in population dynamics. SIAM J. Math. Anal. 20, 845-869.
-
(1989)
SIAM J. Math. Anal.
, vol.20
, pp. 845-869
-
-
Hosono, Y.1
Mimura, M.2
-
26
-
-
33748701157
-
Stationary solutions of a spatially aggregating population model
-
Ikeda, T., 1984. Stationary solutions of a spatially aggregating population model. Proc. Jpn. Acad. A 60, 46-48.
-
(1984)
Proc. Jpn. Acad. A
, vol.60
, pp. 46-48
-
-
Ikeda, T.1
-
27
-
-
42649135073
-
Standing pulse-like solutions of a spatially aggregating population model
-
Ikeda, T., 1985. Standing pulse-like solutions of a spatially aggregating population model. Jpn. J. Appl. Math. 2, 111-149.
-
(1985)
Jpn. J. Appl. Math.
, vol.2
, pp. 111-149
-
-
Ikeda, T.1
-
28
-
-
42649099184
-
Stability of localized stationary solutions
-
Ikeda, T., Nagai, T., 1987. Stability of localized stationary solutions. Jpn. J. Appl. Math. 4, 73-97.
-
(1987)
Jpn. J. Appl. Math.
, vol.4
, pp. 73-97
-
-
Ikeda, T.1
Nagai, T.2
-
29
-
-
0013612206
-
Diffusion and the formation of spatial distributions
-
Kawasaki, K., 1978. Diffusion and the formation of spatial distributions. Math. Sci. 16(183), 47-52.
-
(1978)
Math. Sci.
, vol.16
, Issue.183
, pp. 47-52
-
-
Kawasaki, K.1
-
30
-
-
18644362646
-
Self-organization in systems of self-propelled particles
-
Levine, H., Rappel, W., Cohen, I., 2001. Self-organization in systems of self-propelled particles. Phys. Rev. E 63, 017101.1-017101.4.
-
(2001)
Phys. Rev. E
, vol.63
-
-
Levine, H.1
Rappel, W.2
Cohen, I.3
-
31
-
-
0020024057
-
Pattern formation in interacting and diffusing systems in population biology
-
Mimura, M., Yamaguti, M., 1982. Pattern formation in interacting and diffusing systems in population biology. Adv. Biophys. 15, 19-65.
-
(1982)
Adv. Biophys.
, vol.15
, pp. 19-65
-
-
Mimura, M.1
Yamaguti, M.2
-
32
-
-
0001508106
-
A non-local model for a swarm
-
Mogilner, A., Edelstein-Keshet, L., 1999. A non-local model for a swarm. J. Math. Biol. 38(6), 534-570.
-
(1999)
J. Math. Biol.
, vol.38
, Issue.6
, pp. 534-570
-
-
Mogilner, A.1
Edelstein-Keshet, L.2
-
33
-
-
1342268227
-
Mutual interactions, potentials, and individual distance in a social aggregation
-
Mogilner, A., Edelstein-Keshet, L., Bent, L., Spiros, A., 2003. Mutual interactions, potentials, and individual distance in a social aggregation. J. Math. Biol. 47(4), 353-389.
-
(2003)
J. Math. Biol.
, vol.47
, Issue.4
, pp. 353-389
-
-
Mogilner, A.1
Edelstein-Keshet, L.2
Bent, L.3
Spiros, A.4
-
34
-
-
0004812742
-
Asymptotic behavior for a nonlinear degenerate diffusion equation in population dynamics
-
Nagai, T., Mimura, M., 1983. Asymptotic behavior for a nonlinear degenerate diffusion equation in population dynamics. SIAM J. Appl. Math. 43, 449-464.
-
(1983)
SIAM J. Appl. Math.
, vol.43
, pp. 449-464
-
-
Nagai, T.1
Mimura, M.2
-
36
-
-
33748699270
-
The dynamics of animal grouping
-
Okubo, A., Levin, S. (Eds.), Diffusion and Ecological Problems, 2nd edition. Springer Verlag, New York, Chapter 7
-
Okubo, A., Grünbaum, D., Edelstein-Keshet, L., 2001. The dynamics of animal grouping. In: Okubo, A., Levin, S. (Eds.), Diffusion and Ecological Problems, 2nd edition. Interdisciplinary Applied Mathematics: Mathematical Biology, vol. 14. Springer Verlag, New York, Chapter 7, pp. 197-237.
-
(2001)
Interdisciplinary Applied Mathematics: Mathematical Biology
, vol.14
, pp. 197-237
-
-
Okubo, A.1
Grünbaum, D.2
Edelstein-Keshet, L.3
-
37
-
-
33748714269
-
Diffusion and Ecological Problems
-
Okubo, A., Levin, S. (Eds.), 2nd edition Springer, New York
-
Okubo, A., Levin, S. (Eds.), 2001. Diffusion and Ecological Problems, 2nd edition. Interdisciplinary Applied Mathematics: Mathematical Biology, vol. 14. Springer, New York.
-
(2001)
Interdisciplinary Applied Mathematics: Mathematical Biology
, vol.14
-
-
-
38
-
-
33748714670
-
Studies on the schooling behavior of fish
-
Okubo, A., Sakamoto, W., Inagaki, T., Kuroki, T., 1977. Studies on the schooling behavior of fish. Bull. Jpn. Soc. Sci. Fish 9, 1369-1377.
-
(1977)
Bull. Jpn. Soc. Sci. Fish
, vol.9
, pp. 1369-1377
-
-
Okubo, A.1
Sakamoto, W.2
Inagaki, T.3
Kuroki, T.4
-
39
-
-
0035340387
-
Dynamics of a condensing liquid film under conjoining/disjoining pressures
-
Oron, A., Bankoff, S., 2001. Dynamics of a condensing liquid film under conjoining/disjoining pressures. Phys. Fluids 13(5), 1107-1117.
-
(2001)
Phys. Fluids
, vol.13
, Issue.5
, pp. 1107-1117
-
-
Oron, A.1
Bankoff, S.2
-
40
-
-
0033515748
-
Complexity, pattern, and evolutionary trade-offs in animal aggregation
-
Parrish, J., Edelstein-Keshet, L., 1999. Complexity, pattern, and evolutionary trade-offs in animal aggregation. Science 284, 99-101.
-
(1999)
Science
, vol.284
, pp. 99-101
-
-
Parrish, J.1
Edelstein-Keshet, L.2
-
41
-
-
0004288532
-
-
Parrish, J., Hamner, W. (Eds.), Cambridge University Press, Cambridge, UK
-
Parrish, J., Hamner, W. (Eds.), 1997. Animal Groups in Three Dimensions. Cambridge University Press, Cambridge, UK.
-
(1997)
Animal Groups in Three Dimensions
-
-
-
42
-
-
0036018254
-
Self-organized fish schools: An examination of emergent properties
-
Parrish, J., Viscido, S., Grünbaum, D., 2003. Self-organized fish schools: An examination of emergent properties. Bio. Bull. 202(3), 296-305.
-
(2003)
Bio. Bull.
, vol.202
, Issue.3
, pp. 296-305
-
-
Parrish, J.1
Viscido, S.2
Grünbaum, D.3
-
43
-
-
0002636325
-
A model for group structure and its behavior
-
Sakai, S., 1973. A model for group structure and its behavior. Biophysics 13, 82-90.
-
(1973)
Biophysics
, vol.13
, pp. 82-90
-
-
Sakai, S.1
-
44
-
-
0022028791
-
Exact treatments of nonlinear diffusion equations with singular integral terms
-
Satsuma, J., Mimura, M., 1985. Exact treatments of nonlinear diffusion equations with singular integral terms. J Phys. Soc. Jpn. 54, 894-900.
-
(1985)
J Phys. Soc. Jpn.
, vol.54
, pp. 894-900
-
-
Satsuma, J.1
Mimura, M.2
-
45
-
-
4243912983
-
Statistical mechanics of canonical-dissipative systems and applications to swarm dynamics
-
Schweitzer, F., Ebeling, W., Tilch, B., 2001. Statistical mechanics of canonical-dissipative systems and applications to swarm dynamics. Phys. Rev. E 64, 021110.1-0211101.2.
-
(2001)
Phys. Rev. E
, vol.64
-
-
Schweitzer, F.1
Ebeling, W.2
Tilch, B.3
-
46
-
-
18544400418
-
Hydrodynamic fluctuations and instabilities in ordered suspensions of self-propelled particles
-
Simha, R., Ramaswamy, S., 2002a. Hydrodynamic fluctuations and instabilities in ordered suspensions of self-propelled particles. Phys. Rev. Lett. 89(5), 028181.1-058101.4.
-
(2002)
Phys. Rev. Lett.
, vol.89
, Issue.5
-
-
Simha, R.1
Ramaswamy, S.2
-
47
-
-
0036539136
-
Statistical hydrodynamics of ordered suspensions of self-propelled particles: Waves, giant number fluctuations and instabilities
-
Simha, R., Ramaswamy, S., 2002b. Statistical hydrodynamics of ordered suspensions of self-propelled particles: Waves, giant number fluctuations and instabilities. Physica A 306, 262-269.
-
(2002)
Physica A
, vol.306
, pp. 262-269
-
-
Simha, R.1
Ramaswamy, S.2
-
48
-
-
0000534228
-
Movement of a group of animals
-
Suzuki, R., Sakai, S., 1973. Movement of a group of animals. Biophysics 13, 281-282.
-
(1973)
Biophysics
, vol.13
, pp. 281-282
-
-
Suzuki, R.1
Sakai, S.2
-
49
-
-
0032185311
-
Flocks, herds, and schools: A quantitative theory of flocking
-
Toner, J., Tu, Y., 1998. Flocks, herds, and schools: A quantitative theory of flocking. Phys. Rev. E 58(4), 4828-4858.
-
(1998)
Phys. Rev. E
, vol.58
, Issue.4
, pp. 4828-4858
-
-
Toner, J.1
Tu, Y.2
-
50
-
-
16244371027
-
Swarming patterns in a two-dimensional kinematic model for biological groups
-
Topaz, C., Bertozzi, A., 2004. Swarming patterns in a two-dimensional kinematic model for biological groups. SIAM J. Appl. Math. 65(1), 152-174.
-
(2004)
SIAM J. Appl. Math.
, vol.65
, Issue.1
, pp. 152-174
-
-
Topaz, C.1
Bertozzi, A.2
-
51
-
-
11944250741
-
Clustering due to acceleration in the response to population gradient: A simple self-organizational model
-
Tyutyunov, Y., Senina, I., Arditi, R., 2004. Clustering due to acceleration in the response to population gradient: A simple self-organizational model. Am. Nat. 164(6), 722-735.
-
(2004)
Am. Nat.
, vol.164
, Issue.6
, pp. 722-735
-
-
Tyutyunov, Y.1
Senina, I.2
Arditi, R.3
-
52
-
-
0001730998
-
Novel type of phase transition in a system of self-driven particles
-
Vicsek, T., Czirók, A., Ben-Jacob, E., Cohen, I., Shochet, O., 1995. Novel type of phase transition in a system of self-driven particles. Phys. Rev. Lett. 75(6), 1226-1229.
-
(1995)
Phys. Rev. Lett.
, vol.75
, Issue.6
, pp. 1226-1229
-
-
Vicsek, T.1
Czirók, A.2
Ben-Jacob, E.3
Cohen, I.4
Shochet, O.5
|