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1 The Dynamical Systems Theory Approach to Transport and Mixing in Fluids |
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1 | (18) |
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1 | (6) |
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1.2 Chaotic Scattering of Fluid Particles at a Point Vortex Embedded in a Time-Periodic Background Flow |
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7 | (12) |
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1.2.1 Invariant Sets of the Flow |
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7 | (4) |
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1.2.2 Geometry of Chaotic Scattering and Its Fractal Properties |
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11 | (5) |
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16 | (3) |
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2 Chaotic Transport and Mixing in Idealized Models of Oceanic Currents |
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19 | (64) |
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2.1 Chaotic Advection with Analytic Geophysical Models: Introductory Remarks |
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19 | (1) |
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2.2 Chaotic Transport and Mixing in a Kinematic Model of a Meandering Jet Current |
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20 | (45) |
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2.2.1 The Model Flow and Unstable Periodic Trajectories |
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20 | (3) |
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2.2.2 Origin and Bifurcations of Period-4 Unstable Orbits |
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23 | (7) |
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2.2.3 Chaotic Zonal Transport and Dynamical Traps |
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30 | (17) |
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2.2.4 Chaotic Cross-Jet Transport and Detection of Transport Barriers |
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47 | (2) |
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2.2.5 Detecting the Central Invariant Curve |
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49 | (16) |
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2.3 Chaotic Cross-Jet Transport in a Dynamical Model of a Meandering Jet Current with Propagating Rossby Waves |
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65 | (18) |
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2.3.1 The Dynamical Model with Rossby Waves |
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65 | (3) |
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2.3.2 Mechanisms of Chaotic Cross-Jet Transport for Odd Wavenumbers and Detection of Transport Barriers |
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68 | (6) |
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2.3.3 Chaotic Cross-Jet Transport for Even-Odd Wavenumbers |
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74 | (5) |
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79 | (4) |
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3 Oceans from the Space and Operational Oceanography |
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83 | (12) |
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3.1 Monitoring Oceans with Satellite Sensors |
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83 | (4) |
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3.2 Satellite Altimetry and AVISO Velocity Field |
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87 | (4) |
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3.3 Satellite-Tracked Buoys in the Ocean |
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91 | (4) |
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93 | (2) |
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4 Lagrangian Tools to Study Transport and Mixing in the Ocean |
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95 | (22) |
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4.1 Lagrangian Indicators and Lagrangian Maps |
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95 | (4) |
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4.2 Hyperbolicity in the Ocean |
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99 | (4) |
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4.3 Finite-Time Lyapunov Exponents |
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103 | (5) |
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4.3.1 Finite-Time Lyapunov Exponents for an n-Dimensional Vector Field |
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103 | (2) |
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4.3.2 Singular-Value Decomposition and Evolution Matrix for Two-Dimensional Case |
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105 | (3) |
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4.4 Lagrangian Coherent Structures |
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108 | (9) |
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110 | (7) |
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5 Transport of Subtropical Waters in the Japan Sea |
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117 | (24) |
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5.1 General Pattern of Circulation in the Japan Sea and Formulation of the Problem |
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117 | (4) |
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5.2 Statistical Analysis of Lagrangian Transport of Subtropical Water |
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121 | (20) |
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5.2.1 Northward Transport of Subtropical Water and Advection Velocity Field |
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121 | (3) |
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5.2.2 Gates and Barriers to the Northward Transport of Subtropical Water |
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124 | (3) |
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5.2.3 Transport Pathways of Subtropical Water in the Central Japan Sea |
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127 | (1) |
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5.2.4 Lagrangian Intrusions of Subtropical Water Across the Subpolar Front |
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128 | (7) |
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5.2.5 Effect of Velocity-Field Errors on Statistical Properties of Lagrangian Transport |
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135 | (2) |
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137 | (4) |
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6 Dynamics of Eddies in the Ocean |
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141 | (44) |
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141 | (2) |
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6.2 Altimetry-Based Lagrangian Analysis of Formation, Structure, Evolution, and Splitting of Mesoscale Kuril Eddies |
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143 | (21) |
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6.2.1 Mesoscale Kuril Eddies |
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143 | (3) |
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6.2.2 CTD Sampling of the Bussol' Eddy A |
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146 | (3) |
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6.2.3 Lagrangian Analysis of the Sampled Bussol' Eddy A |
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149 | (9) |
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6.2.4 Vertical Profiles of Temperature and Salinity by the Argo Floats |
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158 | (6) |
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6.3 Lagrangian Analysis of the Vertical Structure of Numerically Simulated Eddies in the Japan Sea |
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164 | (21) |
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6.3.1 Topographically Constrained Frontal Eddies in the Japan Basin |
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164 | (1) |
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6.3.2 Regional Circulation Marine Hydrophysical Institute Model |
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165 | (4) |
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6.3.3 Three-Dimensional Structure and Evolution of Eddies in the Japan Basin |
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169 | (12) |
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181 | (4) |
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7 Fukushima-Derived Cesium Isotopes in the Northwestern Pacific: Direct Observation and Altimetry-Based Simulation of Propagation |
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185 | (38) |
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7.1 Transport of Cesium Isotopes in the Kuroshio Extension Area Just After the Accident |
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185 | (12) |
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7.1.1 The Kuroshio Rings and Near-Surface Cross-Jet Transport |
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187 | (7) |
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7.1.2 Comparison of Simulation with Observation of Cesium Isotopes During the Cruises in June and July 2011 |
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194 | (3) |
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7.2 Role of Mesoscale Eddies in Transport of Cesium Isotopes |
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197 | (26) |
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7.2.1 R/V Professor Gagarinskiy Cruise in June-July 2012 |
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198 | (1) |
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7.2.2 Observed and Simulated Horizontal Distribution of Cesium Isotopes and Identification of Mesoscale Eddies in the Area |
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199 | (9) |
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7.2.3 Vertical Structure of Eddies and Vertical Distribution of 134Cs and 137Cs |
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208 | (5) |
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7.2.4 Tracking Maps for Samples Collected in Centers of the Eddies of the Subarctic Front |
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213 | (4) |
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217 | (1) |
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218 | (5) |
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8 Lagrangian Fronts and Coherent Structures Favorable for Fishery and Foraging Strategy of Top Marine Predators |
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223 | (1) |
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8.1 Hydrological and Lagrangian Fronts |
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223 | (1) |
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8.2 Lagrangian Fronts Favorable for Saury Fishing |
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224 | (13) |
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8.2.1 Identifying Lagrangian Fronts |
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224 | (8) |
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8.2.2 Accumulation of Saury Catches at Strong Lagrangian Fronts |
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232 | (5) |
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8.3 Lagrangian Fronts Favorable for Fishery of Neon Flying Squid |
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237 | (8) |
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8.3.1 Fishery at Lagrangian Intrusions of the Subarctic Front |
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240 | (2) |
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8.3.2 Fishery Inside and Around Hokkaido Mesoscale Eddies |
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242 | (1) |
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8.3.3 Fishery at Lagrangian Intrusions in the Central Part of the Studied Area |
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243 | (2) |
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8.4 Foraging Strategy of Top Marine Predators and Lagrangian (Sub)Mesoscale Features |
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245 | (1) |
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8.4.1 Foraging Strategy of Great Frigatebirds and Lagrangian Coherent Structures |
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245 | (5) |
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8.4.2 Preference of Southern Elephant Seals and Mediterranean Whales for Distinct Mesoscale Features |
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250 | (4) |
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254 | |
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1 | |
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Glossary of Some Terms in Dynamical Systems Theory |
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257 | |
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257 | (1) |
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257 | (1) |
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258 | (1) |
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258 | (1) |
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259 | (1) |
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260 | (1) |
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Heteroclinic and homoclinic structures |
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261 | (1) |
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262 | (1) |
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263 | (1) |
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Kolmogorov--Arnold--Moser theorem and KAM tori |
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263 | (1) |
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263 | (1) |
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264 | (2) |
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266 | (1) |
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267 | (1) |
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267 | (2) |
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269 | (1) |
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Stable and unstable motion |
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269 | (1) |
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270 | (1) |
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271 | (2) |
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273 | |