-
1
-
-
14544301208
-
Symposium on fluid mechanics of stirring and mixing, Part 2
-
Acrivos, A., Aref, H., and Ottino, J. M. (Eds.): Symposium on Fluid Mechanics of Stirring and Mixing, Part 2, Phys. Fluids A, 3(5), 1009-1469, 1991.
-
(1991)
Phys. Fluids A
, vol.3
, Issue.5
, pp. 1009-1469
-
-
Acrivos, A.1
Aref, H.2
Ottino, J.M.3
-
2
-
-
33646531481
-
Closed-loop separation control: An analytic approach
-
DOI 10.1063/1.2188267
-
Alam, M.-R., Liu, W., and Haller, G.: Closed-loop separation control: An analytic approach, Phys. Fluids, 158, 18(4), 043601, doi 10.1063/1.2188267, 2006. (Pubitemid 43983207)
-
(2006)
Physics of Fluids
, vol.18
, Issue.4
, pp. 043601
-
-
Alam, M.-R.1
Liu, W.2
Haller, G.3
-
3
-
-
0002821629
-
Chaos applied to fluid mixing
-
Aref, H. and El Naschie, M. S. (Eds.): Chaos Applied to Fluid Mixing, Chaos Soliton. Fract., 4(6), 370 pp., 1994.
-
(1994)
Chaos Soliton. Fract.
, vol.4
, Issue.6
, pp. 370
-
-
Aref, H.1
El Naschie, M.S.2
-
5
-
-
0002177786
-
Chaotic Ad-vection, tracer dynamics, and turbulent dispersion
-
Proceedings of the NATO Advanced Research Workshop and EGS Topical Workshop on Chaotic Advection, Conference Centre Sereno di Gavo Italy 24-28 May 1993
-
Babiano, A., Provenzale, A., and Vulpiani, A. (Eds.): Chaotic Ad-vection, Tracer Dynamics, and Turbulent Dispersion, in: Proceedings of the NATO Advanced Research Workshop and EGS Topical Workshop on Chaotic Advection, Conference Centre Sereno di Gavo, Italy, 24-28 May 1993, Physica D, vol. 76, 329 pp., 1994.
-
(1994)
Physica D
, vol.76
, pp. 329
-
-
Babiano, A.1
Provenzale, A.2
Vulpiani, A.3
-
6
-
-
1042279871
-
Stable manifolds associated to fixed points with linear part equal to identity
-
DOI 10.1016/j.jde.2003.07.005
-
Baldoma, I. and Fontich, E.: Stable manifolds associated to fixed points with linear part equal to identity, J. Differ. Equations, 197, 45-72, 2004. (Pubitemid 38202742)
-
(2004)
Journal of Differential Equations
, vol.197
, Issue.1
, pp. 45-72
-
-
Baldoma, I.1
Fontich, E.2
-
7
-
-
34247147952
-
The parametrization method for one-dimensional invariant manifolds of higher dimensional parabolic fixed points
-
Baldoma, I., Fontich, E., de la Llave, R., and Martin, P.: The parametrization method for one-dimensional invariant manifolds of higher dimensional parabolic fixed points, Discrete Cont. Dyn. S., 17, 835-865, 2007.
-
(2007)
Discrete Cont. Dyn. S.
, vol.17
, pp. 835-865
-
-
Baldoma, I.1
Fontich, E.2
De La Llave, R.3
Martin, P.4
-
9
-
-
45149123185
-
Nonautonomous finite-time dynamics
-
Berger, A., Son, D. T., and Siegmund, S.: Nonautonomous finite-time dynamics, Discrete Cont. Dyn. B, 9, 463-492, 2008.
-
(2008)
Discrete Cont. Dyn. B
, vol.9
, pp. 463-492
-
-
Berger, A.1
Son, D.T.2
Siegmund, S.3
-
10
-
-
0035499303
-
Detecting barriers to transport: A review of different techniques
-
DOI 10.1016/S0167-2789(01)00330-X, PII S016727890100330X
-
Boffetta, G., Lacorata, G., Redaelli, G., and Vulpiani, A.: Detecting barriers to transport: a review of different techniques, Physica D, 159, 58-70, 2001. (Pubitemid 32975775)
-
(2001)
Physica D: Nonlinear Phenomena
, vol.159
, Issue.1-2
, pp. 58-70
-
-
Boffetta, G.1
Lacorata, G.2
Redaelli, G.3
Vulpiani, A.4
-
11
-
-
18244365108
-
Invariant manifolds of dynamical systems close to a rotation: Transverse to the rotation axis
-
DOI 10.1016/j.jde.2005.02.012, PII S0022039605000653
-
Bonckaert, P. and Fontich, E.: Invariant manifolds of dynamical systems close to a rotation: Transverse to the rotation axis, J. Differ. Equations, 214, 128-155, 2005. (Pubitemid 40633648)
-
(2005)
Journal of Differential Equations
, vol.214
, Issue.1
, pp. 128-155
-
-
Bonckaert, P.1
Fontich, E.2
-
12
-
-
0000058449
-
Symbolic dynamics for hyperbolic flows
-
Bowen, R.: Symbolic Dynamics for Hyperbolic Flows, Am. J. Math., 95, 429-460, 1973.
-
(1973)
Am. J. Math.
, vol.95
, pp. 429-460
-
-
Bowen, R.1
-
13
-
-
0013501719
-
The ergodic theory of axiom A flows
-
Bowen, R. and Ruelle, D.: The ergodic theory of axiom A flows, Invent. Math, 29, 181-202, 1975.
-
(1975)
Invent. Math
, vol.29
, pp. 181-202
-
-
Bowen, R.1
Ruelle, D.2
-
14
-
-
0016080412
-
Density effect and large structure in turbulent mixing layers
-
Brown, G. L. and Roshko, A.: Density effect and large structure in turbulent mixing layers, J. Fluid Mech., 64, 775-816, 1974.
-
(1974)
J. Fluid Mech.
, vol.64
, pp. 775-816
-
-
Brown, G.L.1
Roshko, A.2
-
15
-
-
0001280518
-
Invariant manifolds for a class of parabolic points
-
Casasayas, J., Fontich, E., and Nunes, A.: Invariant manifolds for a class of parabolic points, Nonlinearity, 5, 1193-1210, 1992.
-
(1992)
Nonlinearity
, vol.5
, pp. 1193-1210
-
-
Casasayas, J.1
Fontich, E.2
Nunes, A.3
-
16
-
-
0141865596
-
Melnikov method for parabolic orbits
-
DOI 10.1007/s00030-003-1031-4
-
Casasayas, J., Faisca, J., and Nunes, A.: Melnikov method for parabolic orbits, NODEA-Nonlinear Diff., 10, 119-131, 2003. (Pubitemid 37177481)
-
(2003)
Nonlinear Differential Equations and Applications
, vol.10
, Issue.1
, pp. 119-131
-
-
Casasayas, J.1
Faisca, P.2
Nunes, A.3
-
17
-
-
0002153163
-
Nonhyperbolic homoclinic chaos
-
Cicogna, G. and Santoprete, M.: Nonhyperbolic homoclinic chaos, Phys. Lett. A, 256, 25-30, 1999.
-
(1999)
Phys. Lett. A
, vol.256
, pp. 25-30
-
-
Cicogna, G.1
Santoprete, M.2
-
19
-
-
0002709196
-
Dichotomies in stability theory
-
Springer-Verlag, New York, Heidelberg, Berlin
-
Coppel, W. A.: Dichotomies in Stability Theory, in: Lecture Notes in Mathematics, Springer-Verlag, New York, Heidelberg, Berlin, 629, 97 pp., 1978.
-
(1978)
Lecture Notes in Mathematics
, vol.629
, pp. 97
-
-
Coppel, W.A.1
-
20
-
-
79960552389
-
-
last access: 2009
-
Dabiri, J. O.: LCS MATLAB Kit, available at: http://dabiri.caltech. edu/software.html, last access: 2009.
-
LCS MATLAB Kit
-
-
Dabiri, J.O.1
-
21
-
-
0041293196
-
On the stable manifold theorem for discrete time dependent processes in Banach spaces
-
de Blasi, F. S. and Schinas, J.: On the stable manifold theorem for discrete time dependent processes in Banach spaces, B. Lond. Math. Soc., 5, 275-282, 1973.
-
(1973)
B. Lond. Math. Soc.
, vol.5
, pp. 275-282
-
-
De Blasi, F.S.1
Schinas, J.2
-
22
-
-
0033239812
-
On smooth decompositions of matrices
-
PII S0895479897330182
-
Dieci, L. and Eirola, T.: On smooth decompositions of matrices, SIAM J. Matrix Anal. A., 20(3), 800-819, 1999. (Pubitemid 129332602)
-
(1999)
SIAM Journal on Matrix Analysis and Applications
, vol.20
, Issue.3
, pp. 800-819
-
-
Dieci, L.1
Eirola, T.2
-
23
-
-
0038693395
-
Lyapunov spectral intervals: Theory and computation
-
Dieci, L. and Vleck, E. S. V.: Lyapunov spectral intervals: Theory and computation, SIAM J. Numer. Anal., 40(2), 516-542, 2003.
-
(2003)
SIAM J. Numer. Anal.
, vol.40
, Issue.2
, pp. 516-542
-
-
Dieci, L.1
Vleck, E.S.V.2
-
24
-
-
0000223905
-
On the computation of Lyapunov exponents for continuous dynamical systems
-
Dieci, L., Russell, R. D., and Vleck, E. S. V.: On the computation of Lyapunov exponents for continuous dynamical systems, SIAM J. Numer. Anal., 34(1), 402-423, 1997.
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, Issue.1
, pp. 402-423
-
-
Dieci, L.1
Russell, R.D.2
Vleck, E.S.V.3
-
25
-
-
9744273887
-
Mixing structures in the mediterranean sea from finite-size lyapunov exponents
-
A, E. H.-G. doi:10.1029/2004GL020328
-
d'Ovidio, F., Fernández, V., a, E. H.-G., and López, C.: Mixing structures in the Mediterranean Sea from finite-size Lyapunov exponents, Geophys. Res. Lett., 31, L17203, doi:10.1029/2004GL020328, 2007.
-
(2007)
Geophys. Res. Lett.
, vol.31
-
-
D'Ovidio, F.1
Fernández, V.2
López, C.3
-
26
-
-
57549113159
-
Comparison between Eulerian diagnostics and finite-size Lyapunov exponents computed from altimetry in the Algerian basin
-
d'Ovidio, F., Isern-Fontanet, J., Lopez, C., Hernandez-Garcia, E., and Garcia-Ladon, E.: Comparison between Eulerian diagnostics and finite-size Lyapunov exponents computed from altimetry in the Algerian basin, Deep-Sea Res. Pt. I, 56, 15-31, 2009.
-
(2009)
Deep-Sea Res. Pt. i
, vol.56
, pp. 15-31
-
-
D'Ovidio, F.1
Isern-Fontanet, J.2
Lopez, C.3
Hernandez-Garcia, E.4
Garcia-Ladon, E.5
-
27
-
-
0031393343
-
Lagrangian transport and chaos in the near wake of the flow around an obstacle: A numerical implementation of lobe dynamics
-
Duan, J. and Wiggins, S.: Lagrangian transport and chaos in the near wake of the flow around an obstacle: a numerical implementation of lobe dynamics, Nonlin. Processes Geophys., 4, 125-136, 1997, http://www.nonlin-processes- geophys.net/4/125/1997/.
-
(1997)
Nonlin. Processes Geophys.
, vol.4
, pp. 125-136
-
-
Duan, J.1
Wiggins, S.2
-
28
-
-
45149090989
-
Hyperbolicity and invariant manifolds for planar nonautonomous systems on finite time intervals
-
DOI 10.1142/S0218127408020562, PII S0218127408020562
-
Duc, L. H. and Siegmund, S.: Hyperbolicity and invariant manifolds for planar nonautonomous systems on finite time intervals, Int. J. Bifurcat. Chaos, 18, 641-674, 2008. (Pubitemid 351828396)
-
(2008)
International Journal of Bifurcation and Chaos
, vol.18
, Issue.3
, pp. 641-674
-
-
Duc, L.H.1
Siegmund, S.2
-
29
-
-
0001753894
-
On the concept of stationary Lya-punov basis
-
Ershov, S. V. and Potapov, A. B.: On the concept of stationary Lya-punov basis, Physica D, 118, 167-198, 1998.
-
(1998)
Physica D
, vol.118
, pp. 167-198
-
-
Ershov, S.V.1
Potapov, A.B.2
-
30
-
-
0033101751
-
Stable curves asymptotic to a degenerate fixed point
-
Fontich, E.: Stable curves asymptotic to a degenerate fixed point, Nonlinear Anal.-Theor., 35(6), 711-733, 1999.
-
(1999)
Nonlinear Anal.-Theor.
, vol.35
, Issue.6
, pp. 711-733
-
-
Fontich, E.1
-
31
-
-
33846794749
-
Dispersion of passive tracers and finite-scale Lyapunov exponents in the Western Mediterranean Sea
-
Garcá-Olivares, A., Isern-Fontanet, J., and Garcá-Ladona, E.: Dispersion of passive tracers and finite-scale Lyapunov exponents in the Western Mediterranean Sea, Deep-Sea Res. Pt. I, 54, 15-31, 2007.
-
(2007)
Deep-Sea Res. Pt. i
, vol.54
, pp. 15-31
-
-
Garcá-Olivares, A.1
Isern-Fontanet, J.2
Garcá-Ladona, E.3
-
32
-
-
0000471425
-
Comparison of different methods for computing lyapunov exponents
-
Geist, K., Parlitz, U., and Lauterborn, W.: Comparison of Different Methods for Computing Lyapunov Exponents, Prog. Theor. Phys., 83(5), 875-893, 1990.
-
(1990)
Prog. Theor. Phys.
, vol.83
, Issue.5
, pp. 875-893
-
-
Geist, K.1
Parlitz, U.2
Lauterborn, W.3
-
33
-
-
0032182737
-
Diffusion of a passive scalar from a no-slip boundary into a two-dimensional chaotic advection field
-
Ghosh, S., Leonard, A., and Wiggins, S.: Diffusion of a passive scalar from a no-slip boundary into a two-dimensional chaotic advection field a two-dimensional chaotic advection field, J. Fluid Mech., 372, 119-163, 1998. (Pubitemid 128488696)
-
(1998)
Journal of Fluid Mechanics
, vol.372
, pp. 119-163
-
-
Ghosh, S.1
Leonard, A.2
Wiggins, S.3
-
34
-
-
0007091042
-
Stability and lya-punov stability of dynamical systems: A differential approach and a numerical method
-
Goldhirsch, I., Sulem, P.-L., and Orszag, S. A.: Stability and Lya-punov Stability of Dynamical Systems: A Differential Approach and a Numerical Method, Physica D, 27, 311-337, 1987.
-
(1987)
Physica D
, vol.27
, pp. 311-337
-
-
Goldhirsch, I.1
Sulem, P.-L.2
Orszag, S.A.3
-
35
-
-
0000339553
-
The calculation of lyapunov spectra
-
Greene, J. M. and Kim, J.-S.: The Calculation of Lyapunov Spectra, Physica D, 24, 213-225, 1987.
-
(1987)
Physica D
, vol.24
, pp. 213-225
-
-
Greene, J.M.1
Kim, J.-S.2
-
36
-
-
0034147430
-
Finding finite-time invariant manifolds in two-dimensional velocity fields
-
Haller, G.: Finding finite-time invariant manifolds in two-dimensional velocity fields, Chaos, 10(1), 99-108, 2000.
-
(2000)
Chaos
, vol.10
, Issue.1
, pp. 99-108
-
-
Haller, G.1
-
37
-
-
0034823558
-
Distinguished material surfaces and coherent structures in three-dimensional fluid flows
-
DOI 10.1016/S0167-2789(00)00199-8
-
Haller, G.: Distinguished material surfaces and coherent structure in three-dimensional fluid flows, Physica D, 149, 248-277, 2001a. (Pubitemid 32875760)
-
(2001)
Physica D: Nonlinear Phenomena
, vol.149
, Issue.4
, pp. 248-277
-
-
Haller, G.1
-
38
-
-
0035505014
-
Lagrangian structures and the rate of strain in a partition of two-dimensional turbulence
-
DOI 10.1063/1.1403336
-
Haller, G.: Lagrangian structures and the rate of strain in a partition of two-dimensional turbulence, Phys. Fluids, 13, 3365-3385, 2001b. (Pubitemid 33066938)
-
(2001)
Physics of Fluids
, vol.13
, Issue.11
, pp. 3365-3385
-
-
Haller, G.1
-
39
-
-
0036612283
-
Lagrangian coherent structures from approximate velocity data
-
DOI 10.1063/1.1477449
-
Haller, G.: Lagrangian coherent structures from approximate veol-city data, Phys. Fluids, 14, 1851-1861, 2002. (Pubitemid 34763213)
-
(2002)
Physics of Fluids
, vol.14
, Issue.6
, pp. 1851-1861
-
-
Haller, G.1
-
40
-
-
4043049332
-
Exact theory of unsteady separation for two-dimensional flows
-
DOI 10.1017/S0022112004009929
-
Haller, G.: Exact theory of separation for two-dimensional flows, J. Fluid Mech., 512, 257-311, 2004. (Pubitemid 39073865)
-
(2004)
Journal of Fluid Mechanics
, vol.512
, pp. 257-311
-
-
Haller, G.1
-
41
-
-
14844284559
-
An objective definition of a vortex
-
DOI 10.1017/S0022112004002526
-
Haller, G.: An objective definition of a vortex, J. Fluid Mech., 525, 1-26, 2005. (Pubitemid 40345597)
-
(2005)
Journal of Fluid Mechanics
, vol.525
, pp. 1-26
-
-
Haller, G.1
-
42
-
-
0001229490
-
Finite time transport in aperiodic flows
-
PII S0167278998000918
-
Haller, G. and Poje, A.: Finite time transport in aperiodic flows, Physica D, 119, 352-380, 1998. (Pubitemid 128676655)
-
(1998)
Physica D: Nonlinear Phenomena
, vol.119
, Issue.3-4
, pp. 352-380
-
-
Haller, G.1
Poje, A.C.2
-
43
-
-
0034547788
-
Lagrangian coherent structures and mixing in two-dimensional turbulence
-
Haller, G. and Yuan, G.: Lagrangian coherent structures and mixing in two-dimensional turbulence, Physica D, 147, 352-370, 2000.
-
(2000)
Physica D
, vol.147
, pp. 352-370
-
-
Haller, G.1
Yuan, G.2
-
44
-
-
0003304963
-
Geometric theory of semilinear parabolic equations
-
Springer-Verlag: New York, Heidelberg, Berlin
-
Henry, D.: Geometric theory of semilinear parabolic equations, in: Lecture Notes in Mathematics, Springer-Verlag: New York, Heidelberg, Berlin, 840, 348 pp., 1981.
-
(1981)
Lecture Notes in Mathematics
, vol.840
, pp. 348
-
-
Henry, D.1
-
45
-
-
30944462612
-
Stable manifolds under very weak hyperbolicity conditions
-
DOI 10.1016/j.jde.2005.07.013, PII S0022039605002597
-
Holland, M. and Luzzatto, S.: Stable manifolds under very weak hyperbolicity conditions, J. Differ. Equations, 221, 444-469, 2006. (Pubitemid 43116357)
-
(2006)
Journal of Differential Equations
, vol.221
, Issue.2
, pp. 444-469
-
-
Holland, M.1
Luzzatto, S.2
-
46
-
-
0036315576
-
Distinguished hyperbolic trajectories in time-dependent fluid flows: Analytical and computational approach for velocity fields defined as data sets
-
Geophysical Laboratory Experiments
-
Ide, K., Small, D., and Wiggins, S.: Distinguished hyperbolic trajectories in time-dependent fluid flows: analytical and computational approach for velocity fields defined as data sets, Nonlin. Processes Geophys., 9, 237-263, 2002, http://www.nonlin-processes-geophys.net/9/237/2002/. (Pubitemid 34825269)
-
(2002)
Nonlinear Processes in Geophysics
, vol.9
, Issue.3-4
, pp. 237-263
-
-
Ide, K.1
Small, D.2
Wiggins, S.3
-
47
-
-
0042795968
-
Hyperbolic time dependent processes
-
Irwin M. C.: Hyperbolic time dependent processes, B. Lond. Math. Soc. 5, 209-217, 1973.
-
(1973)
B. Lond. Math. Soc.
, vol.5
, pp. 209-217
-
-
Irwin, M.C.1
-
48
-
-
67649526108
-
Invariant manifolds and La-grangian dynamics in the ocean and atmosphere
-
North-Holland, Amsterdam
-
Jones, C. K. R. T. and Winkler, S.: Invariant manifolds and La-grangian dynamics in the ocean and atmosphere, in: Handbook of dynamical systems, North-Holland, Amsterdam, 55-92, 2002.
-
(2002)
Handbook of Dynamical Systems
, pp. 55-92
-
-
Jones, C.K.R.T.1
Winkler, S.2
-
49
-
-
0036540745
-
Relation between kinematic boundaries, stirring, and barriers for the Antarctic polar vortex
-
Joseph, B. and Legras, B.: Relation between kinematic boundaries, stirring and barriers for the Antarctic polar vortex, J. Atmos. Sci., 59, 1198-1212, 2002. (Pubitemid 34476098)
-
(2002)
Journal of the Atmospheric Sciences
, vol.59
, Issue.7
, pp. 1198-1212
-
-
Joseph, B.1
Legras, B.2
-
50
-
-
0041710288
-
On roughness of exponential dichotomy
-
Ju, N. and Wiggins, S.: On roughness of exponential dichotomy, J. Math. Anal. Appl., 262, 39-49, 2001.
-
(2001)
J. Math. Anal. Appl.
, vol.262
, pp. 39-49
-
-
Ju, N.1
Wiggins, S.2
-
51
-
-
0041377838
-
Existence and computation of hyperbolic trajectories of aperiodically time dependent vector fields and their approximations
-
DOI 10.1142/S0218127403007321
-
Ju, N., Small, D., and Wiggins, S.: Existence and Computation of Hyperbolic Trajectories of Aperiodically Time-Dependent Vector Fields and Their Approximations, Int. J. Bif. Chaos, 13, 1449-1457, 2003. (Pubitemid 37067800)
-
(2003)
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
, vol.13
, Issue.6
, pp. 1449-1457
-
-
Ju, N.1
Small, D.2
Wiggins, S.3
-
53
-
-
21144432959
-
Bifurcations and continuous transitions of attractors in autonomous and nonautonomous systems
-
DOI 10.1142/S0218127405012454, PII S0218127405012454
-
Kloeden, P. and Siegmund, S.: Bifurcations and continuous transitions of attractors in autonomous and nonautonomous systems, Int. J. Bif. Chaos, 15, 743-762, 2005. (Pubitemid 40878382)
-
(2005)
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
, vol.15
, Issue.3
, pp. 743-762
-
-
Kloeden, P.E.1
Siegmund, S.2
-
54
-
-
0036592284
-
Hyperbolic trajectories and the Antarctic polar vortex
-
Koh, T. Y. and Legras, B.: Hyperbolic trajectories and the Antarctic polar vortex, Chaos, 12(2), 382-394, 2002.
-
(2002)
Chaos
, vol.12
, Issue.2
, pp. 382-394
-
-
Koh, T.Y.1
Legras, B.2
-
55
-
-
30344440739
-
Bifurcations in non-autonomous scalar equations
-
DOI 10.1016/j.jde.2005.06.023, PII S0022039605002330
-
Langa, J., Robinson, J. C., and Suàrez, A.: Bifurcations in non-autonomous scalar equations, J. Differ. Equations, 221, 1-35, 2006. (Pubitemid 43056748)
-
(2006)
Journal of Differential Equations
, vol.221
, Issue.1
, pp. 1-35
-
-
Langa, J.A.1
Robinson, J.C.2
Suarez, A.3
-
56
-
-
0042279255
-
Stability, instability, and bifurcation phenomena in non-autonomous differential equations
-
DOI 10.1088/0951-7715/15/3/322, PII S0951771502285400
-
Langa, J. A., Robinson, J. C., and Suàrez, A.: Stability, instability, and bifurcation phenomena in non-autonomous differential equations, Nonlinearity, 15, 887-903, 2002. (Pubitemid 37023515)
-
(2002)
Nonlinearity
, vol.15
, Issue.3
, pp. 887-903
-
-
Langa, J.A.1
Robinson, J.C.2
Suarez, A.3
-
57
-
-
0036711474
-
Characterization of finite-time Lyapunov exponents and vectors in two-dimensional turbulence
-
Lapeyre, G.: Characterization of finite-time Lyapunov exponents and vectors in two-dimensional turbulence, Chaos, 12(3), 688-698, 2002.
-
(2002)
Chaos
, vol.12
, Issue.3
, pp. 688-698
-
-
Lapeyre, G.1
-
58
-
-
0000252343
-
A Guide to Liapunov Vectors
-
edited by: Palmer, T.
-
Legras, B. and Vautard, R.: A Guide to Liapunov Vectors, in: Proceedings of the 1995 ECMWF Seminar on Predictability, edited by: Palmer, T., 143-156, 1996.
-
(1996)
Proceedings of the 1995 ECMWF Seminar on Predictability
, pp. 143-156
-
-
Legras, B.1
Vautard, R.2
-
60
-
-
34250616203
-
Lagrangian coherent structures in n-dimensional systems
-
Lekien, F., Shadden, S., and Marsden, J. E.: Lagrangian coherent structures in n-dimensional systems, J. Math. Phys., 48, 065404, 2007.
-
(2007)
J. Math. Phys.
, vol.48
, pp. 065404
-
-
Lekien, F.1
Shadden, S.2
Marsden, J.E.3
-
61
-
-
0041529987
-
Computation of stable and unstable manifolds of hyperbolic trajectories in two-dimensional, aperiodically time-dependent vector fields
-
Mancho, A. M., Small, D., Wiggins, S., and Ide, K.: Computation of Stable and Unstable Manifolds of Hyperbolic Trajectories in Two-Dimensional, Aperiodically Time-Dependent Vector Fields, Physica D, 182, 188-222, 2003.
-
(2003)
Physica D
, vol.182
, pp. 188-222
-
-
Mancho, A.M.1
Small, D.2
Wiggins, S.3
Ide, K.4
-
62
-
-
1842682569
-
Computation of hyperbolic trajectories and their stable and unstable manifolds for oceanographic flows represented as data sets
-
Mancho, A. M., Small, D., and Wiggins, S.: Computation of hyperbolic trajectories and their stable and unstable manifolds for oceanographic flows represented as data sets, Nonlin. Processes Geophys., 11, 17-33, 2004, http://www.nonlin-processes-geophys.net/11/17/2004/. (Pubitemid 38459755)
-
(2004)
Nonlinear Processes in Geophysics
, vol.11
, Issue.1
, pp. 17-33
-
-
Mancho, A.M.1
Small, D.2
Wiggins, S.3
-
63
-
-
33750940976
-
A tutorial on dynamical systems concepts applied to Lagrangian transport in oceanic flows defined as finite time data sets: Theoretical and computational issues
-
DOI 10.1016/j.physrep.2006.09.005, PII S0370157306003401
-
Mancho, A. M., Small, D., and Wiggins, S.: A tutorial on dynamical systems concepts applied to Lagrangian transport in oceanic flows defined as finite time data sets: Theoretical and computational issues, Phys. Rep., 437, 55-124, 2006. (Pubitemid 44734682)
-
(2006)
Physics Reports
, vol.437
, Issue.3-4
, pp. 55-124
-
-
Mancho, A.M.1
Small, D.2
Wiggins, S.3
-
64
-
-
63849198805
-
Lagrangian transport through an ocean front in the North-Western Mediterranean Sea
-
Mancho, A. M., Hernández-Garća, E., Small, D., and Wiggins, S.: Lagrangian transport through an ocean front in the North-Western Mediterranean Sea, J. Phys. Oceanogr., 38, 1222-1237, 2008.
-
(2008)
J. Phys. Oceanogr.
, vol.38
, pp. 1222-1237
-
-
Mancho, A.M.1
Hernández-Garća, E.2
Small, D.3
Wiggins, S.4
-
65
-
-
34147177046
-
Uncovering the lagrangian skeleton of turbulence
-
Mathur, M., Haller, G., Peacock, T., Ruppert-Felsot, J. E., and Swinney, H. L.: Uncovering the Lagrangian Skeleton of Turbulence, Phys. Rev. Lett., 98, 144502, 2007.
-
(2007)
Phys. Rev. Lett.
, vol.98
, pp. 144502
-
-
Mathur, M.1
Haller, G.2
Peacock, T.3
Ruppert-Felsot, J.E.4
Swinney, H.L.5
-
66
-
-
0002007686
-
Stable manifolds theorem for degenerate fixed-points with applications to celestial mechanics
-
McGehee, R.: Stable manifolds theorem for degenerate fixed-points with applications to celestial mechanics, J. Differ. Equations, 14, 70-88, 1973.
-
(1973)
J. Differ. Equations
, vol.14
, pp. 70-88
-
-
McGehee, R.1
-
67
-
-
22244477095
-
Quantifying transport in numerically generated velocity fields
-
PII S0167278997001152
-
Miller, P. D., Jones, C. K. R. T., Rogerson, A. M., and Pratt, L. J.: Quantifying transport in numerically generated velocity fields, Physica D, 110, 105-122, 1997. (Pubitemid 127701593)
-
(1997)
Physica D: Nonlinear Phenomena
, vol.110
, Issue.1-2
, pp. 105-122
-
-
Miller, P.D.1
Jones, C.K.R.T.2
Rogerson, A.M.3
Pratt, L.J.4
-
68
-
-
0000543733
-
A multiplicative ergodic theorem: Lyapunov characteristic numbers for dynamical systems
-
Oseledec, V.: A multiplicative ergodic theorem: Lyapunov characteristic numbers for dynamical systems, Trans. Moscow Math. Soc., 19, 197-231, 1968.
-
(1968)
Trans. Moscow Math. Soc.
, vol.19
, pp. 197-231
-
-
Oseledec, V.1
-
69
-
-
85040901747
-
-
Cambridge University Press, Cambridge
-
Ottino, J.: The Kinematics of Mixing: Stretching, Chaos, and Transport, Cambridge University Press, Cambridge, 1989.
-
(1989)
The Kinematics of Mixing: Stretching, Chaos, and Transport
-
-
Ottino, J.1
-
70
-
-
0001759096
-
Large-scale horizontal mixing in planetary atmospheres
-
Pierrehumbert, R. T.: Large-scale horizontal mixing in planetary atmospheres, Phys. Fluids A, 3(5), 1250-1260, 1991.
-
(1991)
Phys. Fluids A
, vol.3
, Issue.5
, pp. 1250-1260
-
-
Pierrehumbert, R.T.1
-
71
-
-
0027830049
-
Global chaotic mixing on isentropic surfaces
-
Pierrehumbert, R. T. and Yang, H.: Global chaotic mixing on isen-tropic surfaces, J. Atmos. Sci., 50, 2462-2480, 1993. (Pubitemid 24396402)
-
(1993)
Journal of the Atmospheric Sciences
, vol.50
, Issue.15
, pp. 2462-2480
-
-
Pierrehumbert, R.T.1
Yang, H.2
-
72
-
-
79960491472
-
Symbolic dynamics for smale flows
-
Pollicott, M.: Symbolic Dynamics for Smale Flows, Am. J. Math., 109, 183-200, 1987.
-
(1987)
Am. J. Math.
, vol.109
, pp. 183-200
-
-
Pollicott, M.1
-
74
-
-
84968510092
-
Non-autonomous differential equations and dynamical systems
-
Sell, G. R.: Non-autonomous differential equations and dynamical systems, T. Am. Math. Soc., 127, 241-83, 1967.
-
(1967)
T. Am. Math. Soc.
, vol.127
, pp. 241-83
-
-
Sell, G.R.1
-
76
-
-
28244461621
-
Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
-
DOI 10.1016/j.physd.2005.10.007, PII S0167278905004446
-
Shadden, S., Lekien, F., and Marsden, J. E.: Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows, Physica D, 212, 271-304, 2005. (Pubitemid 41705715)
-
(2005)
Physica D: Nonlinear Phenomena
, vol.212
, Issue.3-4
, pp. 271-304
-
-
Shadden, S.C.1
Lekien, F.2
Marsden, J.E.3
-
77
-
-
33745588317
-
Lagrangian analysis of fluid transport in empirical vortex ring flows
-
Shadden, S., Dabiri, J. O., and Marsden, J. E.: Lagrangian analysis of fluid transport in empirical vortex ring flows, Phys. Fluids, 18, 047105, 2006.
-
(2006)
Phys. Fluids
, vol.18
, pp. 047105
-
-
Shadden, S.1
Dabiri, J.O.2
Marsden, J.E.3
-
78
-
-
36549001234
-
Transport and stirring induced by vortex formation
-
DOI 10.1017/S0022112007008865, PII S0022112007008865
-
Shadden, S., Katija, K., Rosenfeld, M., Marsden, J. E., and Dabiri, J. O.: Transport and stirring induced by vortex formation, J. Fluid Mech., 593, 315-331, 2007. (Pubitemid 350186795)
-
(2007)
Journal of Fluid Mechanics
, vol.593
, pp. 315-331
-
-
Shadden, S.C.1
Katija, K.2
Rosenfeld, M.3
Marsden, J.E.4
Dabiri, J.O.5
-
79
-
-
79960528851
-
-
last access: 2009
-
Shadden, S. C.: Online LCS tutorial: available at: www.cds.caltech. edu/~shawn/LCS-tutorial/, last access: 2009.
-
Online LCS Tutorial
-
-
Shadden, S.C.1
-
80
-
-
0000746869
-
A dynamical systemsanalysis of kinematics in the time-periodic wake of a circular cylinder
-
Vortex dynamics and vortex methods Seattle, WA 1990
-
Shariff, K., Pulliam, T. H., and Ottino, J. M.: A dynamical systemsanalysis of kinematics in the time-periodic wake of a circular cylinder, in: Vortex dynamics and vortex methods (Seattle, WA, 1990), Amer. Math. Soc., Lectures in Appl. Math., 28, 613-646, 1991.
-
(1991)
Amer. Math. Soc., Lectures in Appl. Math.
, vol.28
, pp. 613-646
-
-
Shariff, K.1
Pulliam, T.H.2
Ottino, J.M.3
-
81
-
-
33847034653
-
The mathematical foundations of mixing
-
Cambridge University Press
-
Sturman, R., Ottino, J. M., and Wiggins, S.: The Mathematical Foundations of Mixing, in: Cambridge Monographs on Applied and Computational Mathematics, Cambridge University Press, vol. 22, 281 pp., 2006.
-
(2006)
Cambridge Monographs on Applied and Computational Mathematics
, vol.22
, pp. 281
-
-
Sturman, R.1
Ottino, J.M.2
Wiggins, S.3
-
82
-
-
33748858085
-
Exact theory of three-dimensional flow separation. Part 1. Steady separation
-
DOI 10.1017/S0022112006001200, PII S0022112006001200
-
Surana, A., Grunberg, O., and Haller, G.: Exact theory of three-dimensional flow separation. Part 1. Steady separation, J. Fluid Mech., 564, 57-103, 2006. (Pubitemid 44419994)
-
(2006)
Journal of Fluid Mechanics
, vol.564
, pp. 57-103
-
-
Surana, A.1
Grunberg, O.2
Haller, G.3
-
83
-
-
34347234751
-
Extraction of separation and attachment surfaces from three-dimensional steady shear flows
-
DOI 10.2514/1.21464
-
Surana, A., Jacobs, G. B., and Haller, G.: Extraction of Separation and Attachment Surfaces from Three-Dimensional Steady Shear Flows, AIAA Journal, 45, 1290-1302, 2007. (Pubitemid 46997895)
-
(2007)
AIAA Journal
, vol.45
, Issue.6
, pp. 1290-1302
-
-
Surana, A.1
Jacobs, G.B.2
Haller, G.3
-
84
-
-
0034147969
-
Transient chaotic mixing during a baroclinic life cycle
-
von Hardenberg, J., Fraedrich, K., Lunkeit, F., and Provenzale, A.: Transient chaotic mixing during a baroclinic life cycle, Chaos, 10(1), 122-134, 2000.
-
(2000)
Chaos
, vol.10
, Issue.1
, pp. 122-134
-
-
Von Hardenberg, J.1
Fraedrich, K.2
Lunkeit, F.3
Provenzale, A.4
-
85
-
-
0041782631
-
Closed-loop Lagrangian separation control in a bluff body shear flow model
-
DOI 10.1063/1.1588636
-
Wang, Y., Haller, G., Banaszuk, A., and Tadmor, G.: Closed-loop Lagrangian separation control in a bluff body shear flow model, Phys. Fluids, 15, 2251-2266, 2003. (Pubitemid 37096644)
-
(2003)
Physics of Fluids
, vol.15
, Issue.8
, pp. 2251-2266
-
-
Wang, Y.1
Haller, G.2
Banaszuk, A.3
Tadmor, G.4
-
86
-
-
14544294888
-
The dynamical systems approach to Lagrangian transport in oceanic flows
-
DOI 10.1146/annurev.fluid.37.061903.175815
-
Wiggins, S.: The Dynamical Systems Approach to Lagrangian Transport in Oceanic Flows, Annu. Rev. Fluid Mech., 37, 295-328, 2005. (Pubitemid 40301260)
-
(2005)
Annual Review of Fluid Mechanics
, vol.37
, pp. 295-328
-
-
Wiggins, S.1
-
87
-
-
0039377397
-
On invariant manifolds attached to oscillating boundaries in Stokes flows
-
Yuster, T. and Hackborn, H. W.: On invariant manifolds attached to oscillating boundaries in Stokes flows, Chaos, 7, 769-776, 1997.
-
(1997)
Chaos
, vol.7
, pp. 769-776
-
-
Yuster, T.1
Hackborn, H.W.2
-
88
-
-
53349100333
-
Invariant manifolds for differential equations
-
Zhang, W.: Invariant manifolds for differential equations, Acta Math. Sin., 8, 375-398, 1992.
-
(1992)
Acta Math. Sin.
, vol.8
, pp. 375-398
-
-
Zhang, W.1
|