H. Aref, Stirring by chaotic advection, Journal of Fluid Mechanics, vol.357, issue.-1, 1984.
DOI : 10.1063/1.525415

J. M. Ottino, The kinematics of mixing: stretching, chaos, and transport, 1989.

H. Aref, The development of chaotic advection, Physics of Fluids, vol.14, issue.4, p.1315, 2002.
DOI : 10.1063/1.1458932

J. Chaiken, R. Chevray, M. Tabor, and Q. M. Tan, Experimental Study of Lagrangian Turbulence in a Stokes Flow, Proc. R. Soc. Lond. A, p.165, 1986.
DOI : 10.1098/rspa.1986.0115

P. L. Boyland, H. Aref, and M. A. Stremler, Topological fluid mechanics of stirring, Journal of Fluid Mechanics, vol.403, p.277, 2000.
DOI : 10.1017/S0022112099007107

W. Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, Bulletin of the American Mathematical Society, vol.19, issue.2, p.417, 1988.
DOI : 10.1090/S0273-0979-1988-15685-6

P. Boyland, Topological methods in surface dynamics, Topology and its Applications, vol.58, issue.3, p.223, 1994.
DOI : 10.1016/0166-8641(94)00147-2

S. Newhouse and T. Pignataro, On the estimation of topological entropy, Journal of Statistical Physics, vol.57, issue.5-6, p.1331, 1993.
DOI : 10.1007/BF01048189

P. Boyland, M. Stremler, and H. Aref, Topological fluid mechanics of point vortex motions, Physica D: Nonlinear Phenomena, vol.175, issue.1-2, p.69, 2003.
DOI : 10.1016/S0167-2789(02)00692-9

J. Thiffeault, Measuring Topological Chaos, Physical Review Letters, vol.94, issue.8, p.84502, 2005.
DOI : 10.1103/PhysRevLett.94.084502

D. Auerbach, P. Cvitanovi´ccvitanovi´c, J. Eckmann, G. Gunaratne, and I. Procaccia, Exploring chaotic motion through periodic orbits, Physical Review Letters, vol.58, issue.23, p.2387, 1987.
DOI : 10.1103/PhysRevLett.58.2387

P. Cvitanovi´ccvitanovi´c, Invariant Measurement of Strange Sets in Terms of Cycles, Physical Review Letters, vol.61, issue.24, p.2729, 1988.
DOI : 10.1103/PhysRevLett.61.2729

V. I. Arnold, Mathematical Methods of Classical Mechanics, 1989.

W. Burau, ??ber Verkettungsgruppen, Abhandlungen aus dem Mathematischen Seminar der Universit??t Hamburg, vol.11, issue.1, p.171, 1936.
DOI : 10.1007/BF02940721

A. Vikhansky, Chaotic advection of finite-size bodies in a cavity flow, Physics of Fluids, vol.15, issue.7, p.1830, 2003.
DOI : 10.1063/1.1577344

M. Finn, S. Cox, and H. Byrne, Topological chaos in inviscid and viscous mixers, Journal of Fluid Mechanics, vol.493, p.345, 2003.
DOI : 10.1017/S0022112003005858

B. Kolev, Entropie topologique et représentation de Burau, C. R. Acad. Sci. Sér. I, vol.309, p.835, 1989.

T. Hall, /. Pure, . Min, . Set, and . Content, Train: A C++ program for computing train tracks of surface homeomorphisms

M. Bestvina and M. Handel, Train-tracks for surface homeomorphisms, Topology, vol.34, issue.1, 1995.
DOI : 10.1016/0040-9383(94)E0009-9

M. D. Finn, J. Thiffeault, and E. Gouillart, Topological chaos in spatially periodic mixers, Physica D: Nonlinear Phenomena, vol.221, issue.1
DOI : 10.1016/j.physd.2006.07.018

M. D. Finn and S. M. Cox, Stokes flow in a mixer with changing geometry, Journal of Engineering Mathematics, vol.41, issue.1, p.75, 2001.
DOI : 10.1023/A:1011840630170

A. Katok, Lyapunov exponents, entropy and periodic orbits for diffeomorphisms, Publications math??matiques de l'IH??S, vol.50, issue.2, p.137, 1980.
DOI : 10.1007/BF02684777

P. Schmelcher and F. K. Diakonos, General approach to the localization of unstable periodic orbits in chaotic dynamical systems, Physical Review E, vol.57, issue.3, p.2739, 1998.
DOI : 10.1103/PhysRevE.57.2739

F. K. Diakonos, P. Schmelcher, and O. Biham, Systematic Computation of the Least Unstable Periodic Orbits in Chaotic Attractors, Physical Review Letters, vol.81, issue.20, p.4349, 1998.
DOI : 10.1103/PhysRevLett.81.4349

A. Amon and M. Lefranc, Topological Signature of Deterministic Chaos in Short Nonstationary Signals from an Optical Parametric Oscillator, Physical Review Letters, vol.92, issue.9, p.94101, 2004.
DOI : 10.1103/PhysRevLett.92.094101

URL : https://hal.archives-ouvertes.fr/hal-00001021

M. Liu, F. J. Muzzio, and R. Peskin, Quantification of mixing in aperiodic chaotic flows, Chaos, Solitons & Fractals, vol.4, issue.6, pp.80-83
DOI : 10.1016/0960-0779(94)90129-5

B. Chirikov, Anomalous diffusion in a microtron and critical structure at the chaos boundary, p.646, 1996.

R. L. Bowen-]-r and . Adler, Entropy and the fundamental group, Structure of Attractors, pp.21-29, 1978.
DOI : 10.1070/SM1974v023n02ABEH001719

]. A. Adrover, M. Giona, F. Muzzio, S. Cerbelli, M. Alvarez et al., Analytic expression for the short-time rate of growth of the intermaterial contact perimeter in two-dimensional chaotic flows and Hamiltonian systems Chaos: An Introduction to Dynamical Systems, Selfsimilar spatiotemporal structure of intermaterial boundaries in chaotic flows, pp.81-3395, 1997.

]. T. Antonsen, Z. F. Fan, E. Ott, T. Antonsen, and E. Ott, k spectrum of passive scalars in Lagrangian chaotic fluid flows Multifractal power spectra of passive scalars convected by chaotic fluid flows The role of chaotic orbits in the determination of power spectra of passive scalars, Aref, Stirring by chaotic advection, pp.1751-1795, 1984.

H. Aref and H. Balachandar, Chaotic advection in a Stokes flow, Physics of Fluids, vol.29, issue.11, pp.3515-3521, 1986.
DOI : 10.1063/1.865828

P. Arratia and J. Gollub, Statistics of Stretching Fields in Experimental Fluid Flows Exhibiting Chaotic Advection, Journal of Statistical Physics, vol.83, issue.5-6, p.805, 2005.
DOI : 10.1007/s10955-005-8664-8

G. Ascanio, M. Brito-bazán, E. B. , -. L. Fuente, P. Carreau et al., Unconventional Configuration Studies to Improve Mixing Times in Stirred Tanks, The Canadian Journal of Chemical Engineering, vol.56, issue.4, pp.80-558, 2002.
DOI : 10.1002/cjce.5450800419

]. D. Auerbach, P. Cvitanovi´ccvitanovi´c, J. Eckmann, G. Gunaratne, and I. Procaccia, Exploring chaotic motion through periodic orbits, Physical Review Letters, vol.58, issue.23, pp.58-2387, 1987.
DOI : 10.1103/PhysRevLett.58.2387

G. L. Baker and J. P. Gollub, Chaotic Dynamics-An Introduction, 1996.

E. Balkovsky and A. Fouxon, Universal long-time properties of Lagrangian statistics in the Batchelor regime and their application to the passive scalar problem, Physical Review E, vol.60, issue.4, pp.60-4164, 1999.
DOI : 10.1103/PhysRevE.60.4164

D. Beigie, A. Leonard, and S. Wiggins, A global study of enhanced stretching and diffusion in chaotic tangles, Physics of Fluids A: Fluid Dynamics, vol.3, issue.5, p.1039, 1991.
DOI : 10.1063/1.858084

P. L. Boyland, Topological methods in surface dynamics, Topology and its Applications, vol.58, issue.3, p.223, 1994.
DOI : 10.1016/0166-8641(94)00147-2

P. L. Boyland, H. Aref, and M. A. Stremler, Topological fluid mechanics of stirring, Journal of Fluid Mechanics, vol.403, pp.277-304, 2000.
DOI : 10.1017/S0022112099007107

C. Castelain, A. Mokrani, Y. L. Guer, and H. Peerhossaini, Experimental study of chaotic advection regime in a twisted duct flow, European Journal of Mechanics - B/Fluids, vol.20, issue.2, pp.205-232, 2001.
DOI : 10.1016/S0997-7546(00)01116-X

A. Celani, A. Lanotte, A. Mazzino, and M. Vergassola, Fronts in passive scalar turbulence, Physics of Fluids, vol.13, issue.6, pp.13-1768, 2001.
DOI : 10.1063/1.1367325

URL : https://hal.archives-ouvertes.fr/hal-00134246

S. Cerbelli, J. M. Zalc, and F. J. Muzzio, The evolution of material lines curvature in deterministic chaotic flows, Chemical Engineering Science, vol.55, issue.2, p.363, 1998.
DOI : 10.1016/S0009-2509(99)00331-0

J. Chaiken, R. Chevray, M. Tabor, and Q. M. Tan, Experimental Study of Lagrangian Turbulence in a Stokes Flow, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.408, issue.1834, pp.165-174, 1986.
DOI : 10.1098/rspa.1986.0115

M. Chertkov, G. Falkovich, I. Kolokolov, and V. Lebedev, Statistics of a passive scalar advected by a large-scale two-dimensional velocity field: Analytic solution, Physical Review E, vol.51, issue.6, pp.51-5609, 1995.
DOI : 10.1103/PhysRevE.51.5609

M. Chertkov and V. Lebedev, Boundary Effects on Chaotic Advection-Diffusion Chemical Reactions, Physical Review Letters, vol.90, issue.13, p.134501, 2003.
DOI : 10.1103/PhysRevLett.90.134501

W. L. Chien, H. Rising, and J. M. Ottino, Laminar mixing and chaotic mixing in several cavity flows, Journal of Fluid Mechanics, vol.73, issue.-1, pp.419-451, 1986.
DOI : 10.1016/0009-2509(73)80012-0

P. Cvitanovi´ccvitanovi´c, Invariant Measurement of Strange Sets in Terms of Cycles, Physical Review Letters, vol.61, issue.24, p.2729, 1988.
DOI : 10.1103/PhysRevLett.61.2729

D. D. 'alessandro, M. Dahleh, and I. Mezíc, Control of mixing in fluid flow: A maximum entropy approach, IEEE Transactions on automatic control, pp.44-1852, 1999.

P. Danckwerts, THE DEFINITION AND MEASUREMENT OF SOME CHARACTERISTICS OF MIXTURES, Appl. Sci. Res, vol.3, p.279, 1952.
DOI : 10.1016/B978-0-08-026250-5.50050-2

B. Eckhardt, Irregular scattering, Physica D: Nonlinear Phenomena, vol.33, issue.1-3, p.89, 1988.
DOI : 10.1016/S0167-2789(98)90012-4

G. Falkovich, K. Gawedzki, and M. Vergassola, Particles and fields in fluid turbulence, Reviews of Modern Physics, vol.73, issue.4, p.913, 2001.
DOI : 10.1103/RevModPhys.73.913

M. Farge, Wavelet Transforms and their Applications to Turbulence, Annual Review of Fluid Mechanics, vol.24, issue.1, pp.395-457, 1992.
DOI : 10.1146/annurev.fl.24.010192.002143

URL : https://hal.archives-ouvertes.fr/hal-01299264

J. D. Farmer, E. Ott, and J. A. Yorke, The dimension of chaotic attractors, Physica D: Nonlinear Phenomena, vol.7, issue.1-3, pp.153-180, 1983.
DOI : 10.1016/0167-2789(83)90125-2

D. R. Fereday and P. H. Haynes, Scalar decay in two-dimensional chaotic advection and Batchelor-regime turbulence, Physics of Fluids, vol.16, issue.12, pp.16-4359, 2004.
DOI : 10.1063/1.1807431

D. R. Fereday, P. H. Haynes, A. Wonhas, and J. C. Vassilicos, Scalar variance decay in chaotic advection and Batchelor-regime turbulence, Physical Review E, vol.65, issue.3, pp.65-035301, 2002.
DOI : 10.1103/PhysRevE.65.035301

M. Finn, S. Cox, and H. Byrne, Topological chaos in inviscid and viscous mixers, Journal of Fluid Mechanics, vol.493, pp.345-361, 2003.
DOI : 10.1017/S0022112003005858

M. D. Finn and S. M. Cox, Stokes flow in a mixer with changing geometry, Journal of Engineering Mathematics, vol.41, issue.1, pp.75-99, 2001.
DOI : 10.1023/A:1011840630170

J. G. Franjione, C. Leong, and J. M. Ottino, Symmetries within chaos: A route to effective mixing, Physics of Fluids A: Fluid Dynamics, vol.1, issue.11, pp.1772-1783, 1989.
DOI : 10.1063/1.857504

A. D. Gilbert, E. Gouillart, N. Kuncio, O. Dauchot, B. Dubrulle et al., Advected fields in maps ? iii. passive scalar decay in baker's maps, Dynamical Systems, Thiffeault, Walls inhibit chaotic mixing, p.25, 2006.

E. Gouillart, J. Thiffeault, and M. D. Finn, Topological mixing with ghost rods, Physical Review E, vol.73, issue.3, pp.73-036311, 2006.
DOI : 10.1103/PhysRevE.73.036311

C. Grebogi, E. Ott, and J. A. Yorke, Crises, sudden changes in chaotic attractors, and transient chaos, Physica D: Nonlinear Phenomena, vol.7, issue.1-3, p.181, 1983.
DOI : 10.1016/0167-2789(83)90126-4

G. Haller, Exact theory of unsteady separation for two-dimensional flows, Journal of Fluid Mechanics, vol.512, p.257, 2004.
DOI : 10.1017/S0022112004009929

T. C. Halsey, M. H. Jensen, L. P. Kadanoff, I. Procaccia, and B. I. Shraiman, Fractal measures and their singularities: The characterization of strange sets, Phys. Rev. A, pp.33-1141, 1986.

P. H. Haynes and J. Vanneste, What controls the decay of passive scalars in smooth flows?, Physics of Fluids, vol.17, issue.9, p.97103, 2005.
DOI : 10.1063/1.2033908

M. Horner, G. Metcalfe, S. Wiggins, and J. M. Ottino, Transport enhancement mechanisms in open cavities, Journal of Fluid Mechanics, vol.452, p.199, 2002.
DOI : 10.1017/S0022112001006917

S. C. Jana, G. Metcalfe, and J. M. Ottino, Experimental and computational studies of mixing in complex Stokes flows: the vortex mixing flow and multicellular cavity flows, Journal of Fluid Mechanics, vol.1, issue.-1, pp.199-246, 1994.
DOI : 10.1016/0375-9601(92)90040-S

G. Jeffery, The Rotation of Two Circular Cylinders in a Viscous Fluid, Proc. R. Soc. Lond. A, pp.169-174, 1922.
DOI : 10.1098/rspa.1922.0035

M. Jullien, P. Castiglione, and P. Tabeling, Experimental Observation of Batchelor Dispersion of Passive Tracers, Physical Review Letters, vol.85, issue.17, p.3636, 2000.
DOI : 10.1103/PhysRevLett.85.3636

C. Jung, T. Tél, and E. Ziemniak, Application of scattering chaos to particle transport in a hydrodynamical flow, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.3, issue.4, p.555, 1993.
DOI : 10.1063/1.165960

H. Kantz and P. Grassberger, Repellers, semi-attractors, and long-lived chaotic transients, Physica D: Nonlinear Phenomena, vol.17, issue.1, p.75, 1985.
DOI : 10.1016/0167-2789(85)90135-6

A. Katok and B. Hasselblatt, Introduction to the Modern Theory of Dynamical Systems, 1995.
DOI : 10.1017/CBO9780511809187

R. Kraichnan, Models of intermittency in hydrodynamic turbulence, Physical Review Letters, vol.65, issue.5, p.575, 1990.
DOI : 10.1103/PhysRevLett.65.575

Y. Lai, M. Ding, C. Grebogi, and R. Blümel, Algebraic decay and fluctuations of the decay exponent in Hamiltonian systems, Physical Review A, vol.46, issue.8, pp.46-4661, 1992.
DOI : 10.1103/PhysRevA.46.4661

V. V. Lebedev and K. S. Turitsyn, Passive scalar evolution in peripheral regions, Physical Review E, vol.69, issue.3, pp.69-036301, 2004.
DOI : 10.1103/PhysRevE.69.036301

J. Leclerc, S. Claudel, H. Lintz, O. Potier, and B. Antoine, Theoretical interpretation of residence-time distribution measurements in industrial processes , Oil & Gas Science and Technology -Rev, IFP, pp.55-159, 2000.

C. W. Leong and J. M. Ottino, Experiments on mixing due to chaotic advection in a cavity, Journal of Fluid Mechanics, vol.43, issue.-1, pp.463-499, 1989.
DOI : 10.1017/S0022112086000927

K. Lin and J. Yang, Chaotic mixing of fluids in a planar serpentine channel, International Journal of Heat and Mass Transfer, vol.50, issue.7-8, pp.1269-1277, 2007.
DOI : 10.1016/j.ijheatmasstransfer.2006.09.016

M. Liu and F. J. Muzzio, The curvature of material lines in chaotic cavity flows, Physics of Fluids, vol.8, issue.1, p.75, 1996.
DOI : 10.1063/1.868815

W. Liu and G. Haller, Strange eigenmodes and decay of variance in the mixing of diffusive tracers, Physica D: Nonlinear Phenomena, vol.188, issue.1-2, pp.1-39, 2004.
DOI : 10.1016/S0167-2789(03)00287-2

C. López, E. Hernández-garcia, O. Piro, A. Vulpiani, and E. Zambianchi, Population dynamics advected by chaotic flows: A discrete-time map approach, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.11, issue.2, pp.11-397, 2001.
DOI : 10.1063/1.1371285

E. N. Lorenz, Deterministic Nonperiodic Flow, Journal of the Atmospheric Sciences, vol.20, issue.2, p.130, 1963.
DOI : 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2

P. Manneville, Instabilities, Chaos And Turbulence-An Introduction to Nonlinear Dynamics and Complex Systems, 2004.

G. Mathew, I. Mezi´cmezi´c, and L. Petzold, A multiscale measure for mixing, Physica D: Nonlinear Phenomena, vol.211, issue.1-2, pp.23-46, 2005.
DOI : 10.1016/j.physd.2005.07.017

V. Meleshko and H. Aref, A blinking rotlet model for chaotic advection, Physics of Fluids, vol.8, issue.12, pp.3215-3217, 1996.
DOI : 10.1063/1.869128

P. Meunier and E. Villermaux, How vortices mix, Journal of Fluid Mechanics, vol.476, p.213, 2003.
DOI : 10.1017/S0022112002003166

URL : https://hal.archives-ouvertes.fr/hal-00014833

J. J. Muzzio, M. M. Alvarez, S. Cerbelli, M. Giona, and A. Adrover, On computing the entropy of braids The intermaterial area density generated by tme-and spatially periodic 2d chaotic flows, Chem. Eng. Sci, pp.55-1497, 2000.

F. J. Muzzio, C. Meneveau, P. D. Swanson, and J. M. Ottino, Scaling and multifractal properties of mixing in chaotic flows, Physics of Fluids A: Fluid Dynamics, vol.4, issue.7, p.1439, 1992.
DOI : 10.1063/1.858419

F. J. Muzzio, P. D. Swanson, and J. M. Ottino, The statistics of stretching and stirring in chaotic flows, Physics of Fluids A: Fluid Dynamics, vol.3, issue.5, pp.5350-5360, 1991.
DOI : 10.1063/1.858013

Z. Neufeld and T. Tél, Advection in chaotically time-dependent open flows, Physical Review E, vol.57, issue.3, p.2832, 1998.
DOI : 10.1103/PhysRevE.57.2832

C. R. Nugent, W. M. Quarles, and T. H. Solomon, Experimental Studies of Pattern Formation in a Reaction-Advection-Diffusion System, Physical Review Letters, vol.93, issue.21, pp.93-218301, 2004.
DOI : 10.1103/PhysRevLett.93.218301

V. I. Oseledec, A multiplicative ergodic theorem: Lyapunov characteristic numbers for dynamical systems, Trans. Mosc. Math. Soc, vol.19, pp.197-231, 1968.

E. Ott, Chaos in Dynamical Systems, 2002.

E. Ott and T. M. Antonsen, Fractal measures of passively convected vector fields and scalar gradients in chaotic fluid flows, Physical Review A, vol.39, issue.7, pp.39-3660, 1989.
DOI : 10.1103/PhysRevA.39.3660

E. Ott and T. Tél, Chaotic scattering: An introduction, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.3, issue.4, p.417, 1993.
DOI : 10.1063/1.165949

J. M. Ottino, The Kinematics of Mixing: Stretching, Chaos, and Transport, 1989.

J. M. Ottino, F. J. Muzzio, M. Tjahjadi, J. G. Franjione, S. Jana et al., Chaos, Symmetry, and Self-Similarity: Exploiting Order and Disorder in Mixing Processes, Science, vol.257, issue.5071, pp.257-754, 1992.
DOI : 10.1126/science.257.5071.754

A. Péntek, G. Károlyi, I. Scheuring, T. Tél, Z. Toroczkai et al., Fractality, chaos, and reactions in imperfectly mixed open hydrodynamical flows, Physica A: Statistical Mechanics and its Applications, vol.274, issue.1-2, pp.274-120, 1999.
DOI : 10.1016/S0378-4371(99)00408-2

A. Péntek, T. Tél, and Z. Toroczkai, Chaotic advection in the velocity field of leapfrogging vortex pairs, Journal of Physics A: Mathematical and General, vol.28, issue.8, pp.28-2191, 1995.
DOI : 10.1088/0305-4470/28/8/013

A. Péntek, Z. Toroczkai, T. Tél, C. Grebogi, and J. Yorke, Fractal boundaries in open hydrodynamical flows: Signatures of chaotic saddles, Physical Review E, vol.51, issue.5, pp.51-4076, 1995.
DOI : 10.1103/PhysRevE.51.4076

R. T. Pierrehumbert, Tracer microstructure in the large-eddy dominated regime, Chaos, Solitons & Fractals, vol.4, issue.6, pp.1091-1110, 1994.
DOI : 10.1016/0960-0779(94)90139-2

A. Pikovsky and O. Popovych, Persistent patterns in deterministic mixing flows, Europhysics Letters (EPL), vol.61, issue.5, p.625, 2003.
DOI : 10.1209/epl/i2003-00117-6

O. V. Popovych, A. Pikovsky, and B. Eckhardt, Abnormal mixing of passive scalars in chaotic flows, Physical Review E, vol.75, issue.3, pp.75-036308, 2007.
DOI : 10.1103/PhysRevE.75.036308

C. Pozrikidis, Boundary Integral and Singularity Methods for Linearized Viscous Flow, 1992.
DOI : 10.1017/CBO9780511624124

A. Pumir, B. Shraiman, and E. D. Siggia, Exponential tails and random advection, Physical Review Letters, vol.66, issue.23, p.2984, 1991.
DOI : 10.1103/PhysRevLett.66.2984

V. Rom-kedar, A. Leonard, and S. Wiggins, An analytical study of transport, mixing and chaos in an unsteady vortical flow, Journal of Fluid Mechanics, vol.36, issue.-1, pp.214-347, 1990.
DOI : 10.1512/iumj.1971.21.21017

D. Rothstein, E. Henry, and J. P. Gollub, Persistent patterns in transient chaotic fluid mixing, Nature, pp.401-770, 1999.

H. Salman and P. H. Haynes, A numerical study of passive scalar evolution in peripheral regions, Physics of Fluids, vol.19, issue.6, p.67101, 2007.
DOI : 10.1063/1.2736341

I. Scheuring, G. Károlyi, Z. Toroczkai, T. Tél, and A. Péntek, Competing populations in flows with chaotic mixing, Theoretical Population Biology, vol.63, issue.2, p.77, 2003.
DOI : 10.1016/S0040-5809(02)00035-7

J. Schneider and T. Tél, Extracting flow structures from tracer data, Ocean Dynamics, pp.64-72, 2003.

J. Schumacher and K. R. Sreenivasan, Statistics and geometry of passive scalars in turbulence, Physics of Fluids, vol.17, issue.12, p.125107, 2005.
DOI : 10.1063/1.2140024

T. Shaw, J. Thiffeault, and C. Doering, Stirring up trouble: Multi-scale mixing measures for steady scalar sources, Physica D: Nonlinear Phenomena, vol.231, issue.2, pp.231-143, 2007.
DOI : 10.1016/j.physd.2007.05.001

Y. A. Sinai and V. Yakhot, Limiting probability distributions of a passive scalar in a random velocity field, Physical Review Letters, vol.63, issue.18, p.1962, 1989.
DOI : 10.1103/PhysRevLett.63.1962

T. H. Solomon, J. P. Gollub, T. H. Solomon, E. R. Weeks, and H. L. Swinney, Sheared boundary layers in turbulent Rayleigh- Bénard convection Observation of anomalous diffusion and Lévy flights in a two-dimensional rotating flow, Phys. Rev. Lett. Phys. Rev. Lett, vol.64, pp.71-3975, 1990.

J. C. Sommerer, H. Ku, and H. E. Gilreath, Experimental Evidence for Chaotic Scattering in a Fluid Wake, Physical Review Letters, vol.77, issue.25, p.5055, 1996.
DOI : 10.1103/PhysRevLett.77.5055

R. Sturman, J. Ottino, and S. Wiggins, The Mathematical Foundations of Mixing: The Linked Twist Map as a Paradigm in Applications, Micro to Macro, Fluids to Solids, 2006.
DOI : 10.1017/CBO9780511618116

J. Sukhatme and R. T. Pierrehumbert, Decay of passive scalars under the action of single scale smooth velocity fields in bounded two-dimensional domains: From non-self-similar probability distribution functions to self-similar eigenmodes, Physical Review E, vol.66, issue.5, pp.66-056302, 2002.
DOI : 10.1103/PhysRevE.66.056302

P. D. Swanson and J. M. Ottino, A comparative computational and experimental study of chaotic mixing of viscous fluids, Journal of Fluid Mechanics, vol.4, issue.-1, pp.227-249, 1990.
DOI : 10.1017/S0022112086000927

T. Tél, A. De-moura, C. Grebogi, and G. Károlyi, Chemical and biological activity in open flows: A dynamical system approach, Physics Reports, pp.413-91, 2005.

T. Tél, G. Károlyi, A. Péntek, I. Scheuring, Z. Toroczkai et al., Chaotic advection, diffusion, and reactions in open flows, Chaos, pp.10-89, 2000.

J. Thiffeault, The strange eigenmode in Lagrangian coordinates, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.14, issue.3, p.14, 2004.
DOI : 10.1063/1.1759431

J. Thiffeault and S. Childress, Chaotic mixing in a torus map, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.13, issue.2, pp.13-502, 2003.
DOI : 10.1063/1.1568833

J. Thiffeault, E. Gouillart, and M. D. Finn, The Size of Ghost Rods, Proceedings of the Workshop on Analysis and Control of Mixing with Applications to Micro and Macro Flow Processes, CISM, 2005.
DOI : 10.1007/978-3-211-99346-0_10

URL : https://hal.archives-ouvertes.fr/hal-00649571

W. Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Am, Math. Soc, vol.19, p.417, 1988.

Z. Toroczkai, G. Károlyi, A. Péntek, T. Tél, and C. Grebogi, Advection of Active Particles in Open Chaotic Flows, Physical Review Letters, vol.80, issue.3, pp.500-503, 1998.
DOI : 10.1103/PhysRevLett.80.500

V. Toussaint and P. Carriére, DIFFUSIVE CUT-OFF SCALE OF FRACTAL SURFACES IN CHAOTIC MIXING, International Journal of Bifurcation and Chaos, vol.09, issue.03, pp.443-454, 1999.
DOI : 10.1142/S0218127499000298

V. Toussaint, P. Carrì, and F. , A numerical Eulerian approach to mixing by chaotic advection, Physics of Fluids, vol.7, issue.11, p.2587, 1995.
DOI : 10.1063/1.868707

URL : https://hal.archives-ouvertes.fr/hal-01348398

V. Toussaint, P. Carrì-ere, J. Scott, and J. Gence, Spectral decay of a passive scalar in chaotic mixing, Physics of Fluids, vol.12, issue.11, pp.12-2834, 2000.
DOI : 10.1063/1.1290277

C. L. Tucker, Principles of mixing measurement, Mixing in Polymer Processing, pp.101-127, 1991.

A. Venaille and J. Sommeria, A dynamical equation for the distribution of a scalar advected by turbulence, Physics of Fluids, vol.19, issue.2, p.28101, 2007.
DOI : 10.1063/1.2472506

URL : https://hal.archives-ouvertes.fr/hal-00271707

E. Villermaux and J. Duplat, Mixing as an Aggregation Process, Physical Review Letters, vol.91, issue.18, p.184501, 2003.
DOI : 10.1103/PhysRevLett.91.184501

URL : https://hal.archives-ouvertes.fr/hal-00014842

E. Villermaux and J. Hulin, Chaos lagrangien et mélange de fluides visqueux, Eur, J. Phys, vol.11, p.179, 1990.

G. Voth, T. Saint, G. Dobler, and J. Gollub, Mixing rates and symmetry breaking in two-dimensional chaotic flow, Physics of Fluids, vol.15, issue.9, pp.15-2560, 2003.
DOI : 10.1063/1.1596915

G. A. Voth, G. Haller, and J. P. Gollub, Experimental Measurements of Stretching Fields in Fluid Mixing, Physical Review Letters, vol.88, issue.25, p.254501, 2002.
DOI : 10.1103/PhysRevLett.88.254501

W. Wang, I. Manas-zloczower, and M. Kaufman, Entropic characterization of distributive mixing in polymer processing equipment, AIChE Journal, vol.40, issue.7, p.1637, 2003.
DOI : 10.1002/aic.690490704

S. Wiggins and J. Ottino, Foundations of chaotic mixing, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.362, issue.1818, pp.937-970, 2004.
DOI : 10.1098/rsta.2003.1356

A. Wonhas and J. C. Vassilicos, Mixing in fully chaotic flows, Physical Review E, vol.66, issue.5, pp.66-051205, 2002.
DOI : 10.1103/PhysRevE.66.051205

J. Zalc, E. S. Szalai, M. Alvarez, and F. J. Muzzio, Using CFD to understand chaotic mixing in laminar stirred tanks, AIChE Journal, vol.47, issue.10, p.2124, 2002.
DOI : 10.1002/aic.690481004

E. H. , -. Neufeld, C. López, and O. Piro, Excitable media in open and closed chaotic flows, Phys. Rev. E, pp.66-066208, 2002.