Turbulence, coherent structures, dynamical systems and symmetry:
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge Univ. Press
1996
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Cambridge monographs on mechanics
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007394985&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Literaturverzeichnis Seite 401 - 416 |
| Umfang: | XVIII, 420 S. Ill., graph. Darst. |
| ISBN: | 0521551420 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV011043697 | ||
| 003 | DE-604 | ||
| 005 | 20230619 | ||
| 007 | t| | ||
| 008 | 961107s1996 xx ad|| |||| 00||| eng d | ||
| 020 | |a 0521551420 |9 0-521-55142-0 | ||
| 035 | |a (OCoLC)34472476 | ||
| 035 | |a (DE-599)BVBBV011043697 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-355 |a DE-12 |a DE-384 |a DE-703 |a DE-29T |a DE-706 |a DE-634 |a DE-83 |a DE-188 | ||
| 050 | 0 | |a QA913 | |
| 082 | 0 | |a 532/.0527/0151535 |2 20 | |
| 082 | 0 | |a 532.05270151535 | |
| 084 | |a UF 4300 |0 (DE-625)145584: |2 rvk | ||
| 100 | 1 | |a Holmes, Philip |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Turbulence, coherent structures, dynamical systems and symmetry |c Philip Holmes, John L. Lumley and Gal Berkooz |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge |b Cambridge Univ. Press |c 1996 | |
| 300 | |a XVIII, 420 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Cambridge monographs on mechanics | |
| 500 | |a Literaturverzeichnis Seite 401 - 416 | ||
| 650 | 7 | |a Differentieerbaarheid |2 gtt | |
| 650 | 7 | |a Dynamische systemen |2 gtt | |
| 650 | 7 | |a Turbulentie |2 gtt | |
| 650 | 4 | |a Differentiable dynamical systems | |
| 650 | 4 | |a Turbulence | |
| 650 | 0 | 7 | |a Kohärenz |0 (DE-588)4139923-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Turbulente Strömung |0 (DE-588)4117265-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Symmetrie |0 (DE-588)4058724-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dynamisches System |0 (DE-588)4013396-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differenzierbares dynamisches System |0 (DE-588)4137931-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mathematische Methode |0 (DE-588)4155620-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Turbulente Strömung |0 (DE-588)4117265-6 |D s |
| 689 | 0 | 1 | |a Differenzierbares dynamisches System |0 (DE-588)4137931-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Turbulente Strömung |0 (DE-588)4117265-6 |D s |
| 689 | 1 | 1 | |a Kohärenz |0 (DE-588)4139923-7 |D s |
| 689 | 1 | 2 | |a Dynamisches System |0 (DE-588)4013396-5 |D s |
| 689 | 1 | 3 | |a Symmetrie |0 (DE-588)4058724-1 |D s |
| 689 | 1 | 4 | |a Mathematische Methode |0 (DE-588)4155620-3 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Lumley, John L. |d 1930-2015 |e Verfasser |0 (DE-588)12273985X |4 aut | |
| 700 | 1 | |a Berkooz, Gal |e Verfasser |4 aut | |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007394985&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007394985 | |
Datensatz im Suchindex
| _version_ | 1819342091700928512 |
|---|---|
| adam_text | TURBULENCE, COHERENT STRUCTURES, DYNAMICAL SYSTEMS AND SYMMETRY PHILIP
HOLMES DEPARTMENT OF MECHANICAL AND AEROSPACE ENGINEERING AND PROGRAM IN
APPLIED AND COMPUTATIONAL MATHEMATICS, PRINCETON UNIVERSITY, USA JOHN L.
LUMLEY SIBLEY SCHOOL OF MECHANICAL AND AEROSPACE ENGINEERING, CORNELL
UNIVERSITY, USA AND GAL BERKOOZ SIBLEY SCHOOL OF MECHANICAL AND
AEROSPACE ENGINEERING, CORNELL UNIVERSITY, USA CAMBRIDGE UNIVERSITY
PRESS CONTENTS PREFACE VLEDG. PART EMENTS ONE: TURBULENCE INTRODUCTION
1.1 1.2 1.3 1.4 TURBULENCE LOW-DIMENSIONAL MODELS THE CONTENTS OF THIS
BOOK NOTATION AND MATHEMATICAL JARGON COHERENT STRUCTURES 2.1 2.2 2.3
2.4 2.5 2.6 INTRODUCTION FLOWS WITH COHERENT STRUCTURES DETECTION OF
COHERENT STRUCTURES THE MIXING LAYER THE TURBULENT BOUNDARY LAYER A
PREVIEW OF THINGS TO COME PROPER ORTHOGONAL DECOMPOSITION 3.1 3.2 3.3
3.4 3.5 3.6 INTRODUCTION ON DOMAINS AND AVERAGING PROPERTIES OF THE POD
3.3.1 SPAN OF THE EMPIRICAL BASIS 3.3.2 OPTIMALITY 3.3.3 SYMMETRY 3.3.4
ATTRACTORS FURTHER RESULTS STOCHASTIC ESTIMATION COHERENT STRUCTURES AND
HOMOGENEITY PAGE XNI XVII 1 3 3 6 10 13 20 20 26 39 44 63 82 86 88 91 93
94 97 100 103 108 110 113 IX X CONTENTS 3.7 SOME APPLICATIONS 117 3.7.1
WALL BOUNDED FLOWS 117 3.7.2 FREE SHEAR FLOWS 120 3.7.3 RAYLEIGH-BENARD
CONVECTION 121 3.7.4 MODEL PROBLEMS ~ 121 3.8 APPENDIX: SOME FOUNDATIONS
122 3.8.1 PROBABILITY MEASURES 122 3.8.2 COMPACTNESS OF 9? 124 3.8.3
SYMMETRY AND INVARIANT SUBSPACES 126 3.8.4 SPECTRAL DECAY AND
APPROXIMATE COMPACTNESS 127 4 GALERKIN PROJECTION 129 4.1 INTRODUCTION
130 4.2 SOME SIMPLE PDES REVISITED 133 4.3 THE NAVIER-STOKES EQUATIONS
139 4.4 TOWARDS LOW-DIMENSIONAL MODELS 144 PART TWO: DYNAMICAL SYSTEMS
155 5 QUALITATIVE THEORY * 157 5.1 LINEARISATION AND INVARIANT MANIFOLDS
159 5.2 PERIODIC ORBITS AND POINCARE MAPS 166 5.3 STRUCTURAL STABILITY
AND GENERICITY 169 5.4 BIFURCATIONS LOCAL AND GLOBAL 174 5.5 ATTRACTORS
SIMPLE AND STRANGE 187 6 SYMMETRY 201 6.1 EQUIVARIANT VECTOR FIELDS 202
6.2 LOCAL BIFURCATION WITH SYMMETRY 206 6.3 GLOBAL BEHAVIOR WITH
SYMMETRY 207 6.4 AN O(2)-EQUIVARIANT ODE 215 7 ONE-DIMENSIONAL
TURBULENCE 227 7.1 PROJECTION ONTO FOURIER MODES 229 7.2 LOCAL
BIFURCATIONS FROM U = 0 231 7.3 THE SECOND BIFURCATION POINT 234 7.4
SPATIO-TEMPORAL CHAOS 240 8 RANDOMLY PERTURBED SYSTEMS 253 8.1 AN
ORNSTEIN-UHLENBECK PROCESS 254 8.2 NOISY HETEROCLINIC CYCLES 258 8.3
POWER SPECTRA OF HOMOCLINIC ATTRACTORS 267 8.4 SYMMETRY BREAKING 269
CONTENTS XI PART THREE: THE BOUNDARY LAYER 273 9 LOW-DIMENSIONAL MODELS
275 9.1 EQUATIONS FOR COHERENT STRUCTURES 276 9.2 THE EIGENFUNCTION
EXPANSION 281 9.3 SYMMETRIES 282 9.4 GALERKIN PROJECTION 284 9.5
GEOMETRICAL STRUCTURE OF THE MODEL 292 9.6 CHOOSING SUBSPACES AND
DOMAINS 294 9.7 THE ENERGY BUDGET 299 9.7.1 THE RATIO (UIU 2 )/(UW,)
300 9.7.2 THE MEAN VELOCITY PROFILE 303 9.8 NON-LINEAR FEEDBACK 305 9.9
INTERACTION WITH UNRESOLVED MODES 311 10 BEHAVIOR OF THE MODELS 315 10.1
BACKBONES FOR THE MODELS 316 10.2 HETEROCLINIC CYCLES 321 10.3 BURSTS
AND SWEEPS 326 O 10.4 THE PRESSURE TERM 328 10.5 MORE MODES AND
INSTABILITIES 333 10.6 A TENTATIVE SUMMARY 338 10.7 APPENDIX:
COEFFICIENTS 344 PART FOUR: OTHER APPLICATIONS AND RELATED WORK 347 11
SOME OTHER FLUID PROBLEMS 349 11.1 THE CIRCULAR JET 350 355 360 364 368
373 376 377 381 385 390 395 401 417 11.2 11.3 11.4 11.5 11.6 12 REVIEW
12.1 12.2 12.3 12.4 12.5 BIBLIOGRAPHY INDEX THE TRANSITIONAL BOUNDARY
LAYER A FORCED TRANSITIONAL MIXING LAYER FLOWS IN COMPLEX GEOMETRIES
FULL CHANNEL WALL LAYER MODELS DISCUSSION : PROSPECTS FOR RIGOR THE
QUALITY OF MODELS A SHORT-TIME TRACKING ESTIMATE STABILITY, SIMULATIONS,
AND STATISTICS SPATIAL LOCALISATION THE UTILITY OF MODELS
|
| any_adam_object | 1 |
| author | Holmes, Philip Lumley, John L. 1930-2015 Berkooz, Gal |
| author_GND | (DE-588)12273985X |
| author_facet | Holmes, Philip Lumley, John L. 1930-2015 Berkooz, Gal |
| author_role | aut aut aut |
| author_sort | Holmes, Philip |
| author_variant | p h ph j l l jl jll g b gb |
| building | Verbundindex |
| bvnumber | BV011043697 |
| callnumber-first | Q - Science |
| callnumber-label | QA913 |
| callnumber-raw | QA913 |
| callnumber-search | QA913 |
| callnumber-sort | QA 3913 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | UF 4300 |
| ctrlnum | (OCoLC)34472476 (DE-599)BVBBV011043697 |
| dewey-full | 532/.0527/0151535 532.05270151535 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532/.0527/0151535 532.05270151535 |
| dewey-search | 532/.0527/0151535 532.05270151535 |
| dewey-sort | 3532 3527 6151535 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 1. publ. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02542nam a2200613 c 4500</leader><controlfield tag="001">BV011043697</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230619 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">961107s1996 xx ad|| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0521551420</subfield><subfield code="9">0-521-55142-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)34472476</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV011043697</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA913</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">532/.0527/0151535</subfield><subfield code="2">20</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">532.05270151535</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UF 4300</subfield><subfield code="0">(DE-625)145584:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Holmes, Philip</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Turbulence, coherent structures, dynamical systems and symmetry</subfield><subfield code="c">Philip Holmes, John L. Lumley and Gal Berkooz</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. publ.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge Univ. Press</subfield><subfield code="c">1996</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVIII, 420 S.</subfield><subfield code="b">Ill., graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Cambridge monographs on mechanics</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverzeichnis Seite 401 - 416</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Differentieerbaarheid</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Dynamische systemen</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Turbulentie</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differentiable dynamical systems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Turbulence</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kohärenz</subfield><subfield code="0">(DE-588)4139923-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Turbulente Strömung</subfield><subfield code="0">(DE-588)4117265-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Symmetrie</subfield><subfield code="0">(DE-588)4058724-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Dynamisches System</subfield><subfield code="0">(DE-588)4013396-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differenzierbares dynamisches System</subfield><subfield code="0">(DE-588)4137931-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematische Methode</subfield><subfield code="0">(DE-588)4155620-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Turbulente Strömung</subfield><subfield code="0">(DE-588)4117265-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Differenzierbares dynamisches System</subfield><subfield code="0">(DE-588)4137931-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Turbulente Strömung</subfield><subfield code="0">(DE-588)4117265-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Kohärenz</subfield><subfield code="0">(DE-588)4139923-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Dynamisches System</subfield><subfield code="0">(DE-588)4013396-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="3"><subfield code="a">Symmetrie</subfield><subfield code="0">(DE-588)4058724-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="4"><subfield code="a">Mathematische Methode</subfield><subfield code="0">(DE-588)4155620-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lumley, John L.</subfield><subfield code="d">1930-2015</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)12273985X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Berkooz, Gal</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007394985&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-007394985</subfield></datafield></record></collection> |
| id | DE-604.BV011043697 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T10:05:20Z |
| institution | BVB |
| isbn | 0521551420 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007394985 |
| oclc_num | 34472476 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-12 DE-384 DE-703 DE-29T DE-706 DE-634 DE-83 DE-188 |
| owner_facet | DE-355 DE-BY-UBR DE-12 DE-384 DE-703 DE-29T DE-706 DE-634 DE-83 DE-188 |
| physical | XVIII, 420 S. Ill., graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series2 | Cambridge monographs on mechanics |
| spellingShingle | Holmes, Philip Lumley, John L. 1930-2015 Berkooz, Gal Turbulence, coherent structures, dynamical systems and symmetry Differentieerbaarheid gtt Dynamische systemen gtt Turbulentie gtt Differentiable dynamical systems Turbulence Kohärenz (DE-588)4139923-7 gnd Turbulente Strömung (DE-588)4117265-6 gnd Symmetrie (DE-588)4058724-1 gnd Dynamisches System (DE-588)4013396-5 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd Mathematische Methode (DE-588)4155620-3 gnd |
| subject_GND | (DE-588)4139923-7 (DE-588)4117265-6 (DE-588)4058724-1 (DE-588)4013396-5 (DE-588)4137931-7 (DE-588)4155620-3 |
| title | Turbulence, coherent structures, dynamical systems and symmetry |
| title_auth | Turbulence, coherent structures, dynamical systems and symmetry |
| title_exact_search | Turbulence, coherent structures, dynamical systems and symmetry |
| title_full | Turbulence, coherent structures, dynamical systems and symmetry Philip Holmes, John L. Lumley and Gal Berkooz |
| title_fullStr | Turbulence, coherent structures, dynamical systems and symmetry Philip Holmes, John L. Lumley and Gal Berkooz |
| title_full_unstemmed | Turbulence, coherent structures, dynamical systems and symmetry Philip Holmes, John L. Lumley and Gal Berkooz |
| title_short | Turbulence, coherent structures, dynamical systems and symmetry |
| title_sort | turbulence coherent structures dynamical systems and symmetry |
| topic | Differentieerbaarheid gtt Dynamische systemen gtt Turbulentie gtt Differentiable dynamical systems Turbulence Kohärenz (DE-588)4139923-7 gnd Turbulente Strömung (DE-588)4117265-6 gnd Symmetrie (DE-588)4058724-1 gnd Dynamisches System (DE-588)4013396-5 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd Mathematische Methode (DE-588)4155620-3 gnd |
| topic_facet | Differentieerbaarheid Dynamische systemen Turbulentie Differentiable dynamical systems Turbulence Kohärenz Turbulente Strömung Symmetrie Dynamisches System Differenzierbares dynamisches System Mathematische Methode |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007394985&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT holmesphilip turbulencecoherentstructuresdynamicalsystemsandsymmetry AT lumleyjohnl turbulencecoherentstructuresdynamicalsystemsandsymmetry AT berkoozgal turbulencecoherentstructuresdynamicalsystemsandsymmetry |