-
1
-
-
0021443337
-
Stirring by chaotic advection
-
(doi:10.1017/S0022112084001233)
-
Aref, H. 1984 Stirring by chaotic advection. J. Fluid Mech. 143, 1-21. (doi:10.1017/S0022112084001233)
-
(1984)
J. Fluid Mech.
, vol.143
, pp. 1-21
-
-
Aref, H.1
-
2
-
-
0022533713
-
Chaotic advection in a Stokes flow
-
(doi:10.1063/1.865828)
-
Aref, H. & Balachandar, S. 1986 Chaotic advection in a Stokes flow. Phys. Fluids 29, 3515-3521. (doi:10.1063/1.865828)
-
(1986)
Phys. Fluids
, vol.29
, pp. 3515-3521
-
-
Aref, H.1
Balachandar, S.2
-
4
-
-
0001354876
-
Train-tracks for surface homeomorphisms
-
(doi:10.1016/0040-9383(94)E0009-9)
-
Bestvina, M. & Handel, M. 1995 Train-tracks for surface homeomorphisms. Topology 34, 109-140. (doi:10.1016/0040-9383(94)E0009-9)
-
(1995)
Topology
, vol.34
, pp. 109-140
-
-
Bestvina, M.1
Handel, M.2
-
6
-
-
0002371966
-
Entropy and the fundamental group
-
Lecture Notes in Mathematics, 668, New York, NY: Springer
-
Bowen, R. 1978 Entropy and the fundamental group. In Structure of attractors. Lecture Notes in Mathematics, 668, pp. 21-29. New York, NY: Springer.
-
(1978)
Structure of Attractors
, pp. 21-29
-
-
Bowen, R.1
-
7
-
-
0001482567
-
Topological methods in surface dynamics
-
(doi:10.1016/0166-8641(94)00147-2)
-
Boyland, P. L. 1994 Topological methods in surface dynamics. Topol. Appl. 58, 223-298. (doi:10.1016/0166-8641(94)00147-2)
-
(1994)
Topol. Appl.
, vol.58
, pp. 223-298
-
-
Boyland, P.L.1
-
8
-
-
23844516823
-
Dynamics of two-dimensional time-periodic Euler fluid flows
-
(doi:10.1016/j.topol.2004.08.017)
-
Boyland, P. L. 2005 Dynamics of two-dimensional time-periodic Euler fluid flows. Topol. Appl. 152, 87-106. (doi:10.1016/j.topol.2004.08.017)
-
(2005)
Topol. Appl.
, vol.152
, pp. 87-106
-
-
Boyland, P.L.1
-
9
-
-
0033946678
-
Topological fluid mechanics of stirring
-
(doi:10.1017/S0022112099007107)
-
Boyland, P. L., Aref, H. & Stremler, M. A. 2000 Topological fluid mechanics of stirring. J. Fluid Mech. 403, 277-304. (doi:10.1017/ S0022112099007107)
-
(2000)
J. Fluid Mech.
, vol.403
, pp. 277-304
-
-
Boyland, P.L.1
Aref, H.2
Stremler, M.A.3
-
10
-
-
0037437759
-
Topological fluid mechanics of point vortex motions
-
(doi:10.1016/S0167-2789(02)00692-9)
-
Boyland, P. L., Stremler, M. A. & Aref, H. 2003 Topological fluid mechanics of point vortex motions. Physica D 175, 69-95. (doi:10.1016/S0167- 2789(02)00692-9)
-
(2003)
Physica D
, vol.175
, pp. 69-95
-
-
Boyland, P.L.1
Stremler, M.A.2
Aref, H.3
-
11
-
-
0023045012
-
Experimental study of Lagrangian turbulence in a Stokes flow
-
Chaiken, J., Chevray, R., Tabor, M. & Tan, Q. M. 1986 Experimental study of Lagrangian turbulence in a Stokes flow. Proc. R. Soc. A 408, 165-174.
-
(1986)
Proc. R. Soc. A
, vol.408
, pp. 165-174
-
-
Chaiken, J.1
Chevray, R.2
Tabor, M.3
Tan, Q.M.4
-
12
-
-
0033337185
-
Control of mixing in fluid flow: A maximum entropy approach
-
(doi:10.1109/9.793724)
-
D'Alessandro, D., Dahleh, M. & Mezić, I. 1999 Control of mixing in fluid flow: a maximum entropy approach. IEEE Trans. Autom. Control 44, 1852-1863. (doi:10.1109/9.793724)
-
(1999)
IEEE Trans. Autom. Control
, vol.44
, pp. 1852-1863
-
-
D'Alessandro, D.1
Dahleh, M.2
Mezić, I.3
-
13
-
-
0036558752
-
On a Yang-Baxter map and the Dehornoy ordering
-
(doi:10.1070/RM2002v057n03ABEH000519)
-
Dynnikov, I. A. 2002 On a Yang-Baxter map and the Dehornoy ordering. Russ. Math. Surv. 57, 592-594. (doi:10.1070/RM2002v057n03ABEH000519)
-
(2002)
Russ. Math. Surv.
, vol.57
, pp. 592-594
-
-
Dynnikov, I.A.1
-
14
-
-
0002304365
-
Travaux de Thurston sur les surfaces
-
Fathi, A., Laundenbach, F. & Poenaru, V. 1979 Travaux de Thurston sur les surfaces. Astérisque 66-67, 1-284.
-
(1979)
Astérisque
, vol.66-67
, pp. 1-284
-
-
Fathi, A.1
Laundenbach, F.2
Poenaru, V.3
-
16
-
-
0242594648
-
Topological chaos in inviscid and viscous mixers
-
(doi:10.1017/S0022112003005858)
-
Finn, M. D., Cox, S. M. & Byrne, H. M. 2003a Topological chaos in inviscid and viscous mixers. J. Fluid Mech. 493, 345-361. (doi:10.1017/ S0022112003005858)
-
(2003)
J. Fluid Mech.
, vol.493
, pp. 345-361
-
-
Finn, M.D.1
Cox, S.M.2
Byrne, H.M.3
-
17
-
-
0344468066
-
Chaotic advection in a braided pipe mixer
-
(doi:10.1063/1.1616555)
-
Finn, M. D., Cox, S. M. & Byrne, H. M. 2003b Chaotic advection in a braided pipe mixer. Phys. Fluids 15, L77-L80. (doi:10.1063/1.1616555)
-
(2003)
Phys. Fluids
, vol.15
-
-
Finn, M.D.1
Cox, S.M.2
Byrne, H.M.3
-
18
-
-
1342328975
-
Mixing measures for a two-dimensional chaotic Stokes flow
-
(doi:10.1023/B:ENGI.0000011930.55539.69)
-
Finn, M. D., Cox, S. M. & Byrne, H. M. 2004 Mixing measures for a two-dimensional chaotic Stokes flow. J. Eng. Math. 48, 129-155. (doi:10.1023/B:ENGI.0000011930.55539.69)
-
(2004)
J. Eng. Math.
, vol.48
, pp. 129-155
-
-
Finn, M.D.1
Cox, S.M.2
Byrne, H.M.3
-
19
-
-
33747769246
-
Topological chaos in spatially periodic mixers
-
(doi:10.1016/j.physd.2006.07.018)
-
Finn, M. D., Thiffeault, J.-L. & Gouillart, E. 2005 Topological chaos in spatially periodic mixers. Physica D 221, 92-100. (doi:10.1016/j.physd.2006. 07.018)
-
(2005)
Physica D
, vol.221
, pp. 92-100
-
-
Finn, M.D.1
Thiffeault, J.-L.2
Gouillart, E.3
-
21
-
-
0041035489
-
Dynamical cocycles with values in the Artin braid group
-
(doi:10.1017/S0143385799130207)
-
Gambaudo, J.-M. & Pécou, E. E. 1999 Dynamical cocycles with values in the Artin braid group. Ergod. Theory Dyn. Syst. 19, 627-641. (doi:10.1017/S0143385799130207)
-
(1999)
Ergod. Theory Dyn. Syst.
, vol.19
, pp. 627-641
-
-
Gambaudo, J.-M.1
Pécou, E.E.2
-
22
-
-
85020772615
-
Knots and links
-
Lecture Notes in Mathematics, no. 1654. Berlin, Germany: Springer
-
Ghrist, R. W., Holmes, P. J., Sullivan, M. C.1997 Knots and links. In Three-dimensional flows. Lecture Notes in Mathematics, no. 1654. Berlin, Germany: Springer.
-
(1997)
Three-dimensional Flows
-
-
Ghrist, R.W.1
Holmes, P.J.2
Sullivan, M.C.3
-
23
-
-
33645152009
-
Topological mixing with ghost rods
-
(doi:10.1103/PhysRevE.73.036311)
-
Gouillart, E., Finn, M. D. & Thiffeault, J.-L. 2006 Topological mixing with ghost rods. Phys. Rev. E 73, 036311. (doi:10.1103/PhysRevE.73. 036311)
-
(2006)
Phys. Rev. E
, vol.73
, pp. 036311
-
-
Gouillart, E.1
Finn, M.D.2
Thiffeault, J.-L.3
-
25
-
-
0001173010
-
Global shadowing of pseudo-Anosov homeomorphisms
-
Handel, M. 1985 Global shadowing of pseudo-Anosov homeomorphisms. Ergod. Theory Dyn. Syst. 5, 373-377.
-
(1985)
Ergod. Theory Dyn. Syst.
, vol.5
, pp. 373-377
-
-
Handel, M.1
-
26
-
-
0000088090
-
Sur la topologie des lignes de courant dans un cas particulier
-
Hénon, M. 1966 Sur la topologie des lignes de courant dans un cas particulier. C.R. Acad. Sci. Paris 262, 312-314.
-
(1966)
C.R. Acad. Sci. Paris
, vol.262
, pp. 312-314
-
-
Hénon, M.1
-
27
-
-
0001742803
-
Entropie topologique et représentation de Burau
-
Kolev, B. 1989 Entropie topologique et représentation de Burau. C.R. Acad. Sci. Sér. I 309, 835-838.
-
(1989)
C.R. Acad. Sci. Sér. I
, vol.309
, pp. 835-838
-
-
Kolev, B.1
-
29
-
-
21144481878
-
On the estimation of topological entropy
-
(doi:10.1007/BF01048189)
-
Newhouse, S. & Pignataro, T. 1993 On the estimation of topological entropy. J. Stat. Phys. 72, 1331-1351. (doi:10.1007/BF01048189)
-
(1993)
J. Stat. Phys.
, vol.72
, pp. 1331-1351
-
-
Newhouse, S.1
Pignataro, T.2
-
30
-
-
0000032056
-
Microfluidics: Basic issues, applications, and challenges
-
(doi:10.1002/aic.690470602)
-
Stone, H. A. & Kim, S. 2001 Microfluidics: basic issues, applications, and challenges. AIChE J. 47, 1250-1254. (doi:10.1002/aic. 690470602)
-
(2001)
AIChE J.
, vol.47
, pp. 1250-1254
-
-
Stone, H.A.1
Kim, S.2
-
31
-
-
18144365857
-
Measuring topological chaos
-
(doi:10.1103/PhysRevLett.94.084502)
-
Thiffeault, J.-L. 2005 Measuring topological chaos. Phys. Rev. Lett. 94, 084502. (doi:10.1103/PhysRevLett.94.084502)
-
(2005)
Phys. Rev. Lett.
, vol.94
, pp. 084502
-
-
Thiffeault, J.-L.1
-
33
-
-
84968476184
-
On the geometry and dynamics of diffeomorphisms of surfaces
-
Thurston, W. 1988 On the geometry and dynamics of diffeomorphisms of surfaces. Bull. Am. Math. Soc. 19, 417-431.
-
(1988)
Bull. Am. Math. Soc.
, vol.19
, pp. 417-431
-
-
Thurston, W.1
-
34
-
-
1842587988
-
Simulation of topological chaos in laminar flows
-
(doi:10.1063/1.1621092)
-
Vikhansky, A. 2004 Simulation of topological chaos in laminar flows. Chaos 14, 14-22. (doi:10.1063/1.1621092)
-
(2004)
Chaos
, vol.14
, pp. 14-22
-
-
Vikhansky, A.1
-
35
-
-
0035369682
-
Flexible methods for microfluidics
-
Whitesides, G. M. & Stroock, A. D. 2001 Flexible methods for microfluidics. Phys. Today 54, 42-48.
-
(2001)
Phys. Today
, vol.54
, pp. 42-48
-
-
Whitesides, G.M.1
Stroock, A.D.2
|