ALBERT

Note: Contents Preface Acknowledgements Crustal development: the craton Uplift history of the East Antarctic shield: constraints imposed by high-pressure experimental studies of Proterozoic mafic dykes / S.M. KUEHNER & D.H. GREEN The crustal evolution of some East Antarctic granulites / S.L. HARLEY Structural evolution of the Bunger Hills area of East Antarctica / P. DING & P.R. JAMES Structural geology of the early Precambrian gneisses of northern Fold Island, Mawson Coast, East Antarctica / P.R. JAMES, P. DING & L. RANKIN The intrusive Mawson charnockites: evidence for a compressional plate margin selling of the Proterozoic mobile belt of East Antarctica / D.N. YOUNG & D.J. ELLIS A review of the field relations, petrology and geochemistry of the Borgmassivet intrusions in the Grunehogna province, western Dronning Maud Land, Antarctica / J.R. KRYNAUW, B.R. WATTERS, D.R. HUNTER & A.H. WILSON Volcanic rocks of the Proterozoic Jutulstraumen Group in western Dronning Maud Land, Antarctica / B.R. WATTERS, J.R. KRYNAUW & D.R. HUNTER The timing and nature of faulting and jointing adjacent to the Pencksokket, western Dronning Maud Land, Antarctica / G.H. GRANTHAM & D.R. HUNTER The tectonic and metamorphic evolution of H.U. Sverdrupfjella, western Dronning Maud Land, Antarctica / A.R. ALLEN Granulites of northern H.U. Sverdrupfjella, western Dronning Maud Land: metamorphic history from garnet-pyroxene assemblages, coronas and hydration reactions / P.B. GROENEWALD & D.R. HUNTER A structural survey of Precambrian rocks, Heimefrontfjella, western Neuschwabenland, with special reference to the basic dykes / W. FIELITZ & G. SPAETH Reflection seismic measurements in western Neuschwabenland / A. HUNGELJNG & F. THYSSEN Geology and metamorphism of the Sør Rondane Mountains, East Antarctica / K. SHIRAISHI, M. ASAMI, H. ISHIZUKA, H. KOJIMA. S. KOJIMA, Y. OSANAI, T. SAKIYAMA, Y. TAKAHASHI, M. YAMAZAKI & S. YOSHIKURA Late Proterozoic paired metamorphic complexes in East Antarctica, with special reference to the tectonic significance of ultramafic rocks / Y. HIROI, K. SHIRAISHI & Y. MOTOYOSHI Petrographic and structural characteristics of a part of the East Antarctic craton, Queen Maud Land, Antarctica / M.K. KAUL, R.K. SINGH, D. SRIVASTAVA, S. JAYARAM & S. MUKERJI Structural and petrological evolution of basement rocks in the Schirmacher Hills, Queen Maud Land, East Antarctica (Extended abstract) / S. SENGUPTA Metamorphic evolution of granulites from the Rauer Group, East Antarctica: evidence for decompression following Proterozoic collision / S.L. HARLEY Fault tectonics and magmatic ages in the Jelly Oasis area, Mac. Robertson Land: a contribution to the Lambert Rift development / J. HOFMANN Major fracture trends near the western margin of East Antarctica / P.D. MARSH Mesozoic magmatism in Greater Antarctica: implications for Precambrian plate tectonics / T.S. BREWER & P.D. CLARKSON Crustal development: the Transantarctic Mountains Sedimentary palaeoenvironments of_the Riphaean Turnpike Bluff Group, Shackleton Range / H.-J. PAECH, K. HAHNE & P. VOGLER Precambrian ancestry of the Asgard Formation (Skelton Group): Rb-Sr age of basement metamorphic rocks in the Dry Valley region, Antarctica / C.J. ADAMS & P.F. WHITLA The Priestley Formation, Terra Nova Bay, and its regional significance / D.N.B. SKINNER The myth of the Nimrod and Beardmore orogenies / E. STUMP, R.J. KORSCH & D.G. EDGERTON Age of the metamorphic basement of the Salamander and Lanterman ranges, northern Victoria Land, Antarctica / C.J. ADAMS & A. HOHNDORF Recovery and recrystallization of quartz and 'crystallinity' of illite in the Bowers and Robertson Bay terranes, northern Victoria Land, Antarctica / W. BUGGISCH & G. KLEINSCHMIDT The boundary of the East Antarctic craton on the Pacific margin / N.W. ROLAND Northern Victoria Land, Antarctica: hybrid geological, aeromagnetic and Landsat-physiographic maps / B.K. LUCCHITTA, J.A. BOWELL, F. TESSENSOHN & J.C. BEHRENDT Setting and significance of the Shackleton Limestone, central Transantarctic Mountains / A.J. ROWELL & M.N. REES Lower-mid-Palaeozoic sedimentation and tectonic patterns on the palaeo-Pacific margin of Antarctica / M.G. LAIRD The pre-Devonian Palaeozoic elastics of the central Transantarctic Mountains: stratigraphy and depositional settings / M.N. REES & A.J. ROWELL The Devonian Pacific margin of Antarctica / M.A. BRADSHAW The palaeo-Pacific margin as seen from East Antarctica / J.W. COLLINSON Permo-Carboniferous glacial sedimentation in the central Transantarctic Mountains and its palaeotectonic implications (Extended abstract) / J.M.G. MILLER & B.J. WAUGH Clay mineralogy and provenance of fine-grained Permian elastics, central Transantarctic Mountains / L.A. KRISSEK & T.C. HORNER Evidence for a low-gradient alluvial fan from the palaeo-Pacific margin in the Upper Permian Buckley Formation, Beardmore Glacier area, Antarctica / J.L. ISBELL Provenance and tectonic implications of sandstones within the Permian Mackellar Formation, Beacon Supergroup of East Antarctica / R.S. FRISCH & M.F. MILLER Crustal development: Weddell Sea-Ross Sea region Evolution of the Gondwana plate boundary in the Weddell Sea area / Y. KRISTOFFERSEN & K. HINZ Petrology and palynology of Weddell Sea glacial sediments: implications for subglacial geology / J.B. ANDERSON, B.A. ANDREWS, L.R. BARTEK & E.M. TRUSWELL A multichannel seismic profile across the Weddell Sea margin of the Antarctic Peninsula: regional tectonic implications / P.F. BARKER & M.J. LONSDALE Verification of crustal sources for satellite elevation magnetic anomalies in West Antarctica and the Weddell Sea and their regional tectonic implications / M.E. GHIDELLA, C.A. RAYMOND & J.L. LABRECQUE Aeromagnetic studies of crustal blocks and basins in West Antarctica: a review / S.W. GARRETT Palaeomagnetic studies of Palaeozoic rocks from the Ellsworth Mountains, West Antarctica / M. FUNAKI. M. YOSHIDA & H. MATSUEDA Seismic reflection profiling of a sediment-filled graben beneath ice stream B, West Antarctica / S.T. ROONEY. D.D. BLANKENSHIP, R.B. ALLEY & C.R. BENTLEY The aeromagnetic survey of northern Victoria Land and the western Ross Sea during GANOVEX IV and a geophysical-geological interpretation / W. BOSUM, D. DAMASKE, J.C. BEHRENDT & R. SALTUS The Ross Sea rift system, Antarctica: structure, evolution and analogues / F. TESSENSOHN & G. WORNER Structural and depositional controls on Cenozoic and (?)Mesozoic strata beneath the western Ross Sea / A.K. COOPER, F.J. DAVEY & J.C. BEHRENDT Crustal extension and origin of sedimentary basins beneath the Ross Sea and Ross Ice Shelf, Antarctica / A.K. COOPER, F.J. DAVEY & K. HINZ Chemical characteristics of greywacke and palaeosol of early Oligocene or older sedimentary breccia, Ross Sea DSDP Site 270 / A.B. FORD Extensive volcanism and related tectonism beneath the western Ross Sea continental shelf, Antarctica: interpretation of an aeromagnetic survey / J.C. BEHRENDT, H.J. DUERBAUM, D. DAMASKE, R. SALTUS, W. BOSUM & A.K. COOPER Geochemistry and tectonic implications of lower-crustal granulites included in Cenozoic volcanic rocks of southern Victoria Land / R.l. KALAMARIDES & J.H. BERG Geology, petrology and tectonic implications of crustal xenoliths in Cenozoic volcanic rocks of southern Victoria Land / J.H. BERG Geochemistry and petrology of ultramafic xenoliths of the Erebus volcanic province / F.M. MCGIBBON Lithospheric flexure induced by the load of Ross Archipelago, southern Victoria Land, Antarctica / T.A. STERN, F.J. DAVEY & G. DELISLE The structure and seismic activity of Mount Erebus, Ross Island / K. KAMINUMA & K. SHIBUYA Crustal development: the Pacific margin Mid-Palaeozoic basement in eastern Graham Land and its relation to the Pacific margin of Gondwana / A.J. MILNE & l.L. MILLAR Basement gneisses in north-western Palmer Land: further evidence for pre-Mesozoic rocks in Lesser Antarctica / S.M. HARRISON & B.A. PIERCY Granitoids of the Ford Ranges, Marie Byrd Lan

Note: Contents Foreword Preface Summary for Policymakers Synthesis Report Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Question 9 Working Group Summaries Working Group I: The Scientific Basis Working Group II: Impacts, Adaptation, and Vulnerability Working Group III: Mitigation Annexes A. Authors and Expert Reviewers B. Glossary of Terms C. Acronyms, Abbreviations, and Units D. Scientific, Technical, and Socio-Economic Questions Selected by the Panel E. List of Major IPCC Reports

Note: Contents: Symbols. - Preface. - Acknowledgements. - 1 PERIGLACIAL CONDITIONS. - 1.1 The significance of freezing in soils and rocks. - 1.2 Freezing and thawing in porous materials. - 1.3 Climate and ground freezing. - 1.3.1 Permafrost. - 1.3.2 Ephemeral freezing. - 1.4 Characteristics of permafrost. - 1.5 Manifestations of freezing and thawing of the ground. - 2 MORPHOLOGY OF PERMAFROST AND SEASONALLY FROZEN GROUND. - 2.1 Frozen ground as a geological material. - 2.2 Ice in the ground. - 2.2.1 Excess ice. - 2.2.2 Frost-heave ice: segregation ice. - 2.2.3 Intrusive ice; ice wedge ice, and other forms. - 2.2.4 Ice of external origin: buried glacier, snow, lake and river ice; icings. - 2.2.5 Age of ice in permafrost. - 2.2.6 Distribution of ground ice. - 2.2.7 Submarine frozen ground. - 2.2.8 Micromorphology of freezing soils. - 2.2.9 Pedology and soil freezing. - 2.3 Gas hydrates (clathrates). - 2.4 World distribution of permafrost. - 2.4.1 Land permafrost. - 2.4.2 Submarine distribution. - 2.5 Seasonal freezing. - 3 CLIMATE AND FROZEN GROUND. - 3.1 Introduction. - 3.2 Seasonal frost and permafrost. - 3.3 Climate and permafrost distribution. - 3.4 The importance of microclimates. - 3.5 The surface energy balance. - 3.5.1 The nature of surface interactions. - 3.5.2 A buffer layer model. - 3.5.3 Effects of surface changes. - 3.6 Possible effects of climatic change. - 3.7 Summary. - 4 THE GROUND THERMAL REGIME. - 4.1 Introduction. - 4.2 Heat flow in the ground. - 4.2.1 The heat conduction equation. - 4.3 Thermal properties. - 4.3.1 Thermal conductivity. - 4.3.2 Heat capacity. - 4.3.3 Thermal diffusivity. - 4.4 Ground thermal conditions. - 4.4.1 Geothermal heat flow and permafrost thickness. - 4.4.2 Effects of climatic change. - 4.4.3 Seasonal temperature variations. - 4.5 Lateral variations in ground temperatures. - 4.5.1 Influence of water bodies. - 4.6 Summary. - 5 THE FORMS OF THE GROUND SURFACE 1: SLOPES AND SUBSIDENCES. - 5.1 Freezing and thawing and displacements of the ground. - 5.2 Instability of soil on slopes: overview. - 5.3 The mystery of solifluction. - 5.3.1 Origin of small movements. - 5.3.2 Creep in the frozen state. - 5.4 Rock glaciers. - 5.5 Effects of thawing: landslides and slumps. - 5.5.1 Loss of cohesive strength. - 5.5.2 Soil consolation and strength during thaw. - 5.5.3 Thermokarst. - 5.6 The extent and variety of movements on slopes. - 6 THE FORMS OF THE GROUND SURFACE 2: STRUCTURES AND MICROTOPOGRAPHY OF LEVEL GROUND. - 6.1 Surface characteristics. - 6.2 Features characterised by accumulation of ice. - 6.2.1 Pingos. - 6.2.2 Palsa. - 6.2.3 Hydrolaccoliths. - 6.3 Differential freeze-thaw effects. - 6.3.1 Uplift of stones. - 6.3.2 Soil hummocks. - 6.3.3 Earth circles. - 6.3.4 Stone polygons and rings. - 6.4 Thermal contraction and cracking. - 6.4.1 Soil and ice wedges. - 7 THERMODYNAMIC BEHAVIOUR OF FROZEN SOILS. - 7.1 Soil: A porous system. - 7.1.1 'Freezing points' and latent heat. - 7.1.2 Proportions of ice and water. - 7.1.3 Water contents and thermal properties. - 7.2 Energy status, or potential, of soil water. - 7.2.1 Freezing point depression, potential, and free energy. - 7.2.2 Potential of water in freezing soils. - 7.3 Pressure and temperature relations. - 7.4 Origin of frost heave and frost heave pressures. - 7.5 Permeability of frozen soils. - 7.6 Frost heave as a thermodynamic-rheologic process. - 8 HYDROLOGY OF FROZEN GROUND. - 8.1 Introduction. - 8.2 Surface hydrology. - 8.2.1 Bank stability in permafrost regions. - 8.3 Groundwater. - 8.3.1 Icings and frost blisters. - 8.3.2 Water supply. - 8.4 Hydrodynamics of frozen ground. - 8.4.1 Unfrozen water content. - 8.4.2 Gradients of water potential due to freezing temperatures. - 8.4.3 Moisture transfer mechanisms. - 8.4.4 Moisture transport in saturated soils. - 8.4.5 Moisture transport in unsaturated soils. - 8.5 Ice segregation and frost heaving. - 8.5.1 Coupled heat and moisture flow at freezing temperatures. - 8.5.2 The hydrodynamic model. - 8.5.3 The rigid ice model. - 8.5.4 Extreme forms of ice segregation. - 8.6 Seasonal hydrodynamics in permafrost. - 8.6.1 Water migration beyond the fringe. - 8.6.2 Development of aggradational ice. - 9 THE MECHANICS OF FROZEN GROUND. - 9.1 Introduction. - 9.2 The frozen soil system. - 9.2.1 Properties of the ice. - 9.2.2 The strength of soils. - 9.3 Deformation of frozen ground. - 9.3.1 Characteristics of creep. - 9.3.2 The origins of creep. - 9.4 Strength characteristics of frozen soils. - 9.4.1 Rates of strain and processes of deformation. - 9.5 Temperature dependence of creep rate and strength. - 9.6 Effect of soil composition. - 9.6.1 Size of soil particles. - 9.6.2 Ice content. - 9.6.3 Pore water salinity. - 9.7 Effect of normal and confining stresses on strength and deformation. - 9.7.1 Internal, thermodynamically controlled stresses. - 9.8 Field situations. - 9.8.1 Role of temperature and pressure variations. - 10 GEOCRYOLOGY PAST AND FUTURE. - 10.1 Geocryology and geotechnique. - 10.2 Energy exchange and climate instability. - 10.3 Thermodynamic and mechanical properties of frozen ground. - 10.4 Submarine and other extreme conditions for permafrost. - References. - Index.

Note: Contents Preface Acknowledgements 1 Introduction 1.1 Glacier forelands and simplicity 1.2 Ecology and primary succession 1.3 Space-for-time substitution (chronosequences) 1.4 Geoecology (landscape ecology) 2 The nature of the timescale 2.1 Glacier variations 2.2 Dating techniques 2.2.1 Historical sources 2.2.2 Biological dating 2.2.3 Physico-chemical dating 2.3 Terrain age sequences and areal chronologies 3 The physical landscape 3.1 The legacy of glaciation 3.1.1 Glacial erosion 3.1.2 Glacial sediments 3.1.3 Depositional landforms and landsystems 3.2 Proglacial landscape modification 3.2.1 Glacio-fluvial activity 3.2.2 Consolidation and slope stabilization 3.2.3 Pervection 3.2.4 Cryogenic processes: frost weathering 3.2.5 Frost-heave and frost-sorting 3.2.6 Solifluction and other periglacial slope processes 3.2.7 Nivation 3.2.8 Aeolian processes 3.3 The climatic environment 3.3.1 Regional climate 3.3.2 Meso-scale climatic gradients 3.3.3 Microclimate 3.3.4 Climatic change 3.4 Spatial variation and change in the physical landscape 3.4.1 Spatial patterns at various scales 3.4.2 Physical processes and landscape change 4 Soil development 4.1 Soil chronosequences and chronofunctions 4.1.1 Conceptual framework 4.1.2 An example: Glacier Bay, Alaska 4.2 Soil properties and pedogenic processes 4.2.1 Texture 4.2.2 Micromorphology 4.2.3 Organic content 4.2.4 pH and base status 4.2.5 Iron and aluminium 4.2.6 Chemical weathering processes 4.2.7 Nitrogen 4.2.8 Phosphorus 4.3 Environmental controls on pedogenesis 4.3.1 Parent material 4.3.2 Topography 4.3.3 Biota 4.3.4 Climatic controls 4.4 Soil formation in time and space 4.4.1 Soil development and equilibrium concepts 4.4.2 Spatial variation and soil chronosequences 5 Plant succession: patterns and environmental factors 5.1 Vegetational chronosequences: methodological considerations 5.1.1 Concept and limitations 5.1.2 Tests of chronoseauences: observed successions 5.1.3 Tests of chronosequences: retrospective analysis 5.2 Inferred successional trends 5.2.1 Cover 5.2.2 Spatial organization 5.2.3 Stratification and physiognomy 5.2.4 Biomass 5.2.5 Species diversity 5.2.6 Species composition and successional stages 5.2.7 Population attributes and physiological traits 5.3 Spatial variation and successional pathways 5.3.1 Within-foreland patterns: mapping 5.3.2 Quantitative community analysis at Storbreen, Jotunheimen 5.3.3 Inferred successional pathways elsewhere 5.3.4 Between-foreland patterns: a comparative approach 5.4 Environmental controls on successional sequences 5.4.1 Initial site conditions 5.4.2 Environmental factors as influx variables 5.4.3 Environmental factor complexes 6 Plant succession: processes and models 6.1 Biological processes of colonization and succession 6.1 Migration 6.2 Ecesis 6.3 Reaction 6.4 Facilitation 6.5 Competition 6.6 Allelopathy, herbivory and pathogens 6.7 Stabilization 6.2 Models 6.2.1 Monoclimax and polyclimax 6.2.2 Climax pattern and site climax 6.2.3 Relay floristics and IFC 6.2.4 Non-selective and selective autosuccession 6.2.5 Facilitation, tolerance and inhibition 6.2.6 Chronic disturbance, competitive hierarchy and resource ratio 6.2.7 Evolutionary strategies 6.2.8 Vital attributes, process interactions and a causal hierarchy 6.3 A geoecological model 6.3.1 Coupling of physical and biological processes 6.3.2 Spatio-temporal dynamics 7 The ecological significance of recently-deglaciated terrain 7.1 Chronosequences 7.2 The geoecological approach 7.3 Some broader implications References Index

Note: Contents Contributors page Preface Plates Part One: Fundamentals of Large Eddy Simulation 1 Some Historical Remarks on the Use of Nonlinear Viscosities / Joseph Smagorinsky 2 Subgrid-Scale Modeling / Joel H. Ferziger 3 Some Basic Challenges for Large Eddy Simulation Research / Steven A. Orszag, Ilya Staroselsky, and Victor Yakhot 4 Some Contributions of Two-Point Closure to Large Eddy Simulations / Jackson R. Herring and Robert M. Kerr 5 Stochastic Backscatter Formulation for three-Dimensional Compressible Flows / Cecil E. Leith Part Two: Large Eddy Simulation in Engineering 6 Applications of Large Eddy Simulations in Engineering: An Overview / Ugo Piomelli Incompressible Flows 7 Large Eddy Simulation of Scalar Transport with the Dynamic Subgrid-Scale Model / William Cabot and Parviz Moin 8 Renormalization Group Theory Simulation of Transitional and Turbulent Flow over a Backward-Facing Step / George E. Karniadakis, Steven A. Orszag, and Victor Yakhot 9 Spectral Large Eddy Simulation of Turbulent Shear Flows / Marcel Lesieur, Olivier Métais , Xavier Normand, and Aristeu Silveira-Neto 10 Anisotropic Representation of Subgrid-Scale Reynolds Stress in Large Eddy Simulation / Kiyosi Horiuti 11 Large Eddy Simulation of Transitional Flow / Thomas A. Zang and Ugo Piomelli Compressible and Reacting Flows 12 Direct Numerical Simulation and Large Eddy Simulation of Compressible Turbulence / Gordon Erlebacher and Mohammed Y. Hussaini 13 Large Eddy Simulation of Mixing Layers / Saad A. Ragab and Shaw-Ching Sheen 14 A Linear-Eddy Mixing Model for Large Eddy Simulation of Turbulent Combustion / Suresh Menon, Patrick A. McMurtry, and Alan R. Kerstein 15 Direct Numerical Simulation and Large Eddy Simulation of Reacting Homogeneous Turbulence / Cyrus K. Madnia and Peyman Givi Part Three: Large Eddy Simulation in Geophysics 16 Large Eddy Simulation in Geophysical Turbulence Parameterization: An Overview / John C. Wyngaard and Chin-Hoh Moeng Atmospheric Sciences 17 Using the Regional Atmospheric Modeling System in the Large Eddy Simulation Mode: From inhomogeneous Surfaces to Cirrus Clouds / William R. Cotton, Robert L. Walko, Keeley R. Costigan, Piotr J. Flatau, and Roger A. Pielke 18 Large Eddy Simulation of Turbulent Convection over Flat and Wavy Surfaces / Ulrich Schumann Physical Oceanography 19 The Role of Oceans in Climate Change: A Challenge to Large Eddy Simulation / Greg Holloway 20 Modeling the Oceanic Planetary Boundary Layer / James C. McWilliams, Patrick C. Gallacher, Chin-Hoh Moeng, and John C. Wyngaard 21 Diapycnal Mixing in the Ocean: A Review / Peter Müller 22 Near-Surface Mixing and the Ocean's Role in Climate / Mark A. Cane Environmental Flows 23 Conjunctive Filtering Procedures in Surface Water Flow and Transport / Keith W. Bedford and Woon K. Yeo 24 Leonard and Cross-Term Approximations in the Anisotropically Filtered Equations of Motion / Alvaro A. Aldama 25 Large Eddy Simulation as a Tool in Engineering and Geophysics: Panel Discussion / Thomas A. Zang Part Four: Large Eddy Simulation and Massively Parallel Computing 26 Parallel Computing for Large Eddy Simulation / Cecil E. Leith 27 Geophysical Fluid Dynamics, Large Eddy Simulation, and Massively Parallel Computing / William P. Dannevik Index

Note: Preface Acknowledgements Part S Basic topics Chapter I Introduction: Why nonlinear methods? Chapter 2 Linear tools and general considerations 2.1 Stationarity and sampling 2.2 Testing for stationarity 2.3 Linear correlations and the power spectrum 2.3.1 Stationarity and the low-frequency component in the power spectrum 2.4 Linear filters 2.5 Linear predictions Chapter 3 Phase space methods 3.1 Determinism: Uniqueness in phase space 3.2 Delay reconstruction 3.3 Finding a good embedding 3.4 Visual inspection of data 3.5 Poincare surface of section Chapter 4 Determinism and predictability 4.1 Sources of predictability 4.2 Simple nonlinear prediction algorithm 4.3 Verification of successful prediction 4.4 Probing stationarity with nonlinear predictions 4.5 Simple nonlinear noise reduction Chapter 5 Instability: Lyapunov exponents 5.1 Sensitive dependence on initial conditions 5.2 Exponential divergence 5.3 Measuring the maximal exponent from data Chapter 6 Self-similarity: Dimensions 6.1 Attractor geometry and fractals 6.2 Correlation dimension 6.3 Correlation sum from a time series 6.4 Interpretation and pitfalls 6.5 Temporal correlations, nonstationarity, and space time separation plots 6.6 Practical considerations 6.7 A useful application: Determination of the noise level Chapter 7 Using nonlinear methods when determinism is weak 7.1 Testing for nonlinearity with surrogate data 7.1.1 The null hypothesis 7.1.2 How to make surrogate data sets 7.1.3 Which statistics to use 7.1.4 What can go wrong 7.1.5 What we have learned 7.2 Nonlinear statistics for system discrimination 7.3 Extracting qualitative information from a time series Chapters Selected nonlinear phenomena 8.1 Coexistence of attractors 8.2 Transients 8.3 Intermittency 8.4 Structural stability 8.5 Bifurcations 8.6 Quasi-periodicity Part 2 Advanced topics Chapter 9 Advanced embedding methods 9.1 Embedding theorems 9.1.1 Whitney's embedding theorem 9.1.2 Takens's delay embedding theorem 9.2 The time lag 9.3 Filtered delay embeddings 9.3.1 Derivative coordinates 9.3.2 Principal component analysis 9.4 Fluctuating time intervals 9.5 Multichannel measurements 9.5.1 Equivalent variables at different positions 9.5.2 Variables with different physical meanings 9.5.3 Distributed systems 9.6 Embedding of interspike intervals Chapter 10 Chaotic data and noise 10.1 Measurement noise and dynamical noise 10.2 Effects of noise 10.3 Nonlinear noise reduction 10.3.1 Noise reduction by gradient descent 10.3.2 Local projective noise reduction 10.3.3 Implementation of locally projective noise reduction 10.3.4 How much noise is taken out? 10.3.5 Consistency tests 10.4 An application: Foetal ECG extraction Chapter ! 1 More about invariant quantities 11.1 Ergodicity and strange attractors 11.2 Lyapunov exponents II 11.2.1 The spectrum of Lyapunov exponents and invariant manifolds 11.2.2 Flows versus maps 11.2.3 Tangent space method 11.2.4 Spurious exponents 11.2.5 Almost two-dimensional flows 11.3 Dimensions II 11.3.1 Generalised dimensions, multifractals 11.3.2 Information dimension from a time series 11.4 Entropies 11.4.1 Chaos and the flow of information 11.4.2 Entropies of a static distribution 11.4.3 The Kolmogorov-Sinai entropy 11.4.4 Entropies from time series data 11.5 How things are related 11.5.1 Pesin's identity 11.5.2 Kaplan-Yorke conjecture Chapter 12 Modelling and forecasting 12.1 Stochastic models 12.1.1 Linear filter 12.1.2 Nonlinear filters 12.1.3 Markov models 12.2 Deterministic dynamics 12.3 Local methods in phase space 12.3.1 Almost model free methods 12.3.2 Local linear fits 12.4 Global nonlinear models 12.4.1 Polynomials 12.4.2 Radial basis functions 12.4.3 Afeura/ networks 12.4.4 Wfcat to do in practice 12.5 Improved cost functions 12.5.1 Overfitting and model costs 12.5.2 The errors-in-variables problem 12.6 Model verification Chapter 13 Chaos control 13.1 Unstable periodic orbits and their invariant manifolds 13.1.1 Locating periodic orbits 13.1.2 Stable/unstable manifolds from data 13.2 OGY-control and derivates 13.3 Variants of OGY-control 13.4 Delayed feedback 13.5 Chaos suppression without feedback 13.6 Tracking 13.7 Related aspects Chapter 14 Other selected topics 14.1 High dimensional chaos 14.1.1 Analysis of higher dimensional signals 14.1.2 Spatially extended systems 14.2 Analysis of spatiotemporal patterns 14.3 Multiscale or self-similar signals, wavelets 14.3.1 Dynamical origin of multiscale signals 14.3.2 Scaling laws 14.3.3 Wavelet analysis Appendix A Efficient neighbour searching Appendix B Program listings Appendix C Description of the experimental data sets References Index