The complexity of dynamical systems: a multi-disciplinary perspective
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| Format: | Book |
| Language: | English |
| Published: |
Weinheim, Bergstr
Wiley-VCH
2011
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XII, 246 S. Ill., graph. Darst. |
| ISBN: | 9783527409310 |
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IMAGE 1
CONTENTS
ACKNOWLEDGEMENTS X LIST OF CONTRIBUTORS XI
INTRODUCTION 1
PART ONE APPLICATIONS 5
1 COASTAL MORPHODYNAMICS 7
NICHOLAS DODD
1.1 ID THEORETICAL FRAMEWORK 10 1.2 SEDIMENT TRANSPORT, EROSION, AND
DEPOSITION 11 1.3 WAVE SPEEDS, FREE AND FORCED MODES, AND TIMESCALES 13
1.4 PHASE-AVERAGED MORPHODYNAMICS: CRESCENTIC BARS 17 1.5 PHYSICAL
MECHANISMS 21
1.6 CONCLUDING REMARKS 24
REFERENCES 25
2 LONG-LIVED TRANSIENTS IN TRANSITIONAL PIPE FLOW 27 JERRY WESTEIWEEL
AND DIRK JAN KUIK REFERENCES 36
3 DYNAMICS OF PATTERNS IN LASERS WITH DELAYED FEEDBACK 37 KIRK CREEN AND
BERND KRAUSKOPF 3.1 INTRODUCTION 37
3.2 SINGLE-MODE LASER WITH COF 40 3.3 VCSEL WITH OPTICAL FEEDBACK 42
3.3.1 EEM-REDUCED MODEL OF A TWO-MODE VCSEL WITH OPTICAL FEEDBACK 44
3.3.2 ANALYTICAL RESULTS FOR THE TWO-MODE ECM STRUCTURE 45 3.4 NUMERICAL
BIFURCATION ANALYSIS OF THE TWO-MODE ECM STRUCTURE 47
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1005391327
DIGITALISIERT DURCH
IMAGE 2
VI CONTENTS
3.4.1 DEPENDENCE OF THE BIFURCATION DIAGRAM ON RI 48
3.4.2 TRANSITIONS INVOLVING CODIMENSION-TWO POINTS NEAR R| = 0.0 51
3.4.3 DETAILS OF THE TRANSITION TO R] = 1.0 53 3.5 STABILITY AND
BIFURCATIONS OF PERIODIC SOLUTIONS 56 3.6 DISCUSSION 59
REFERENCES 60
4 OPTICAL DELAY DYNAMICS AND ITS APPLICATIONS 63 LAURENT LARGER AND INGO
FISCHER 4.1 INTRODUCTION 63
4.2 EXPERIMENTAL SETUPS 65
4.2.1 DELAYED FEEDBACK AND DELAY-COUPLED SEMICONDUCTOR LASERS 65 4.2.2
NONLINEAR DELAYED ELECTRO-OPTIC FEEDBACK 66 4.3 DYNAMICS: MODELING,
NUMERICS, AND EXPERIMENTS 68 4.3.1 THE ALL-OPTICAL FEEDBACK SYSTEM AND
THE LANG-KOBAYASHI
RATE EQUATIONS 68
4.3.2 THE AIL-OPTICALLY DELAY-COUPLED LASERS 69 4.3.2.1 TWO MUTUALLY
DELAY-COUPLED LASERS: GENERALIZED SYNCHRONIZATION AND SYMMETRY BREAKING
69 4.3.2.2 DELAY-COUPLED LASERS WITH A RELAY: ZERO-LAG SYNCHRONIZATION
73
4.3.2.3 RINGS OF UNIDIRECTIONALLY COUPLED LASERS WITH DELAY 78 4.3.3
LINEAR FILTERING OF A NONLINEAR DELAYED FEEDBACK 81 4.3.3.1 MODELING 81
4.3.3.2 DELAY DIFFERENTIAL DYNAMICS 82 4.3.3.3 INTEGRO-DIFFERENTIAL
DELAY DYNAMICS 83 4.4 APPLICATIONS 89
4.4.1 CHAOS COMMUNICATIONS 90 4.4.2 SPATIAL OR SPECTRAL STABILIZATION IN
SEMICONDUCTOR LASERS 92 4.4.2.1 HIGH SPECTRAL PURITY MICROWAVE
OSCILLATION 92 4.4.3 FURTHER APPLICATIONS OF ALL-OPTICAL DELAY SYSTEMS
95 4.5 CONCLUSION AND OUTLOOK 95
REFERENCES 96
5 SYMBOLIC DYNAMICS IN GENETIC OSCILLATION PATTERNS 99 SIMONE PIGOLOTTI,
SANDEEP KRISHNA, AND MOGENS H. JENSEN 5.1 INTRODUCTION 99
5.2 THE METHOD 100
5.2.1 MONOTONICITY AND NULLCLINES 100 5.3 THE NEGATIVE FEEDBACK LOOP 101
5.3.1 NFL AND REVERSE ENGINEERING 105 5.4 MULTIPLE LOOPS 109
5.4.1 MULTIPLE LOOPS AND REVERSE ENGINEERING 113 5.5 NEGATIVE FEEDBACK
LOOPS ON A LATTICE 114 5.6 CONCLUSIONS 116
REFERENCES 116
IMAGE 3
CONTENTS VII
6 TRANSLOCATION DYNAMICS AND RANDOMNESS 119
JOHAN DUBBELDAM, VAKHTANG ROSTIASHVILI, ANDREY MILCHEV, AND THOMAS
VILGIS 6.1 INTRODUCTION 119
6.2 ANOMALOUS DIFFUSION MODEL 121 6.2.1 UNBIASED TRANSLOCATION 122
6.2.1.1 CONTINUOUS TIME RANDOM WALKS AND FRACTIONAL DERIVATIVES 124
6.2.2 MONTE CARLO SIMULATIONS 127
6.2.3 DRIVEN TRANSLOCATION 130 6.3 STATISTICAL MOMENTS (S) AND (S 2 )
VERSUS TIME 132 6.3.1 TRANSLOCATION: A QUASI-EQUILIBRIUM PROCESS? 135
6.4 DISCUSSION 137
REFERENCES 137
PART TWO FUNDAMENTAL ASPECTS 139
7 ENTROPY PRODUCTION, THE BREAKING OF DETAILED BALANCE, AND THE ARROW OF
TIME 141 CHRISTIAN VAN DEN BROECK
7.1 INTRODUCTION 141
7.2 DETAILED BALANCE 142
7.3 STOCHASTIC THERMODYNAMICS 144 7.4 MICROSCOPIC EXPRESSION OF ENTROPY
PRODUCTION 150 7.5 DISCUSSION 154
REFERENCES 356
8 MONODROMY AND COMPLEXITY OF QUANTUM SYSTEMS 359 SON'S ZHILINSKII 8.1
INTRODUCTION 159
8.2 HAMILTONIAN MONODROMY 363 8.3 CLASSICAL-QUANTUM CORRESPONDENCE 164
8.4 LATTICES AND DEFECTS 166
8.4.1 ELEMENTARY MONODROMY DEFECTS 166 8.4.2 FRACTIONAL MONODROMY
DEFECTS 168 8.4.3 MONODROMY-DEFECT CORRESPONDENCE 170 8.5 MULTICOMPONENT
ENERGY-MOMENTUM MAP, BIDROMY,
AND OTHERS 173
8.6 TIME EVOLUTION AND MONODROMY 374 8.7 PERSPECTIVES 375
REFERENCES 179
9 DYNAMICS IN MATERIALS SCIENCE 183 GERARD A. MAUGIN AND MARTINE
ROUSSEAU 9.1 INTRODUCTION 183
9.2 ESSENTIALS OF ELASTICITY 185 9.2.1 FINITE STRAIN ELASTICITY 385
IMAGE 4
VIII CONTENTS
9.2.2 SMALL STRAIN ELASTICITY 187
9.2.3 ONE-DIMENSIONAL MOTION 188 9.2.4 PHYSICAL NONLINEARITY 189 9.3 THE
BOUSSINESQ PARADIGM AND AKIN NONLINEAR DISPERSIVE SYSTEMS 190 9.3.1 THE
STANDARD BOUSSINESQ (BO) EQUATION IN ELASTIC CRYSTALS 390
9.3.2 THE "GOOD" BOUSSINESQ EQUATION 194 9.3.3 GENERALIZED BOUSSINESQ
EQUATION 195 9.3.4 MECHANICAL SYSTEM WITH TWO DEGREES OF FREEDOM 196
9.3.5 SINE-GORDON EQUATIONS AND ASSOCIATED SYSTEMS
OF EQUATIONS 197
9.3.5.1 PURE SINE-GORDON SYSTEM 197 9.3.5.2 SINE-GORDON-D'ALEMBERT
SYSTEMS 199 9.4 A BASIC PROBLEM OF MATERIALS SCIENCE: PHASE TRANSITION
FRONT PROPAGATION 200
9A.I SOME GENERAL WORDS 200 9.4.2 MICROSCOPIC CONDENSED MATTER PHYSICS
APPROACH: SOLITONICS 201 9.4.3 MACROSCOPIC ENGINEERING THERMODYNAMIC
APPROACH 202
9.4.4 MESOSCOPIC APPLIED MATHEMATICS APPROACH: STRUCTURED FRONT 204
9.4.5 THEORETICAL PHYSICS APPROACH: QUASI-PARTICLE AND TRANSIENT MOTION
205 9.4.6 REMARK ON A MECHANOBIOLOGICAL PROBLEM 206 9.5 DYNAMIC
MATERIALS 207
9.6 FURTHER EXTENSIONS: PROPAGATION IN METAMATERIALS AND OTHERS 209
REFERENCES 210
10 SYNCHRONIZATION ON THE CIRCLE 213 ALAIN SARLETTE AND RODOLPHE
SEPULCHRE 10.1 INTRODUCTION 233
10.2 CONSENSUS ALGORITHMS ON VECTOR SPACES 235 10.3 CONSENSUS ALGORITHMS
ON THE CIRCLE 217 10.3.1 DISCRETE TIME 218 10.3.1.1 VICSEK MODEL 219
10.3.2 CONTINUOUS TIME 219 10.3.2.1 KURAMOTO MODEL 220 10.4 CONVERGENCE
PROPERTIES 220 10.4.1 LOCAL SYNCHRONIZATION LIKE FOR VECTOR SPACES 220
10.4.2 SOME GRAPHS ENSURE (ALMOST) GLOBAL SYNCHRONIZATION 223 10.5
OBSTACLES TO GLOBAL SYNCHRONIZATION 222 10.5.1 CONVERGENCE TO LOCAL
EQUILIBRIA FOR FIXED UNDIRECTED G 222
10.5.1.1 HOPFIELD NETWORK 224 10.5.1.2 LOCAL EQUILIBRIA FOR THE
UNDIRECTED RING 224
IMAGE 5
CONTENTS IX
10.5.1.3 STABLE CONFIGURATIONS ARE GRAPH DEPENDENT 225
10.5.1.4 STRUCTURALLY STABLE DIVERGENT BEHAVIOR IN VICSEK MODEL 226
10.5.2 LIMIT SETS DIFFERENT FROM EQUILIBRIUM 226 10.6 ALGORITHMS FOR
GLOBAL SYNCHRONIZATION 229 10.6.1 MODIFIED COUPLING FOR FIXED UNDIRECTED
GRAPHS 229
10.6.2 INTRODUCING RANDOMNESS IN LINK SELECTION 231 10.6.2.1 GOSSIP
ALGORITHM (DIRECTED) 232 10.6.3 ALGORITHMS USING AUXILIARY VARIABLES 233
10.7 GENERALIZATIONS ON COMPACT HOMOGENEOUS MANIFOLDS 234 10.8
CONCLUSIONS 235
REFERENCES 238
CONCLUSION AND OUTLOOK 243
INDEX 243 |
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| spelling | The complexity of dynamical systems a multi-disciplinary perspective ed. by Johan Dubbeldam ... Weinheim, Bergstr Wiley-VCH 2011 XII, 246 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Komplexes System (DE-588)4114261-5 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Dynamisches System (DE-588)4013396-5 s Komplexes System (DE-588)4114261-5 s DE-604 Dubbeldam, Johan (DE-588)143392271 edt X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3520442&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021165561&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | The complexity of dynamical systems a multi-disciplinary perspective Komplexes System (DE-588)4114261-5 gnd Dynamisches System (DE-588)4013396-5 gnd |
| subject_GND | (DE-588)4114261-5 (DE-588)4013396-5 (DE-588)4143413-4 |
| title | The complexity of dynamical systems a multi-disciplinary perspective |
| title_auth | The complexity of dynamical systems a multi-disciplinary perspective |
| title_exact_search | The complexity of dynamical systems a multi-disciplinary perspective |
| title_full | The complexity of dynamical systems a multi-disciplinary perspective ed. by Johan Dubbeldam ... |
| title_fullStr | The complexity of dynamical systems a multi-disciplinary perspective ed. by Johan Dubbeldam ... |
| title_full_unstemmed | The complexity of dynamical systems a multi-disciplinary perspective ed. by Johan Dubbeldam ... |
| title_short | The complexity of dynamical systems |
| title_sort | the complexity of dynamical systems a multi disciplinary perspective |
| title_sub | a multi-disciplinary perspective |
| topic | Komplexes System (DE-588)4114261-5 gnd Dynamisches System (DE-588)4013396-5 gnd |
| topic_facet | Komplexes System Dynamisches System Aufsatzsammlung |
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