Encounter with chaos: self-organized hierarchical complexity in semiconductor experiments
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1992
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 289 S. Ill., graph. Darst. |
| ISBN: | 3540558454 0387558454 3540556478 0387556478 |
Internformat
MARC
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| 245 | 1 | 0 | |a Encounter with chaos |b self-organized hierarchical complexity in semiconductor experiments |c J. Peinke ... |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1992 | |
| 300 | |a IX, 289 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Chaos (théorie des systèmes) |2 ram | |
| 650 | 7 | |a Semiconducteurs |2 ram | |
| 650 | 7 | |a Théories non-linéaires |2 ram | |
| 650 | 4 | |a Nonlinear theories | |
| 650 | 4 | |a Semiconductors | |
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Datensatz im Suchindex
| _version_ | 1804119812502192128 |
|---|---|
| adam_text | CONTENTS 1 INTRODUCTORY REMARKS 1 PROBLEMS 8 2 SEMICONDUCTOR PHYSICS 9
2.1 FUNDAMENTALS OF NONLINEAR DYNAMICS 9 2.1.1 HISTORICAL REMARKS 9
2.1.2 PLASMA ANSATZ 10 2.1.3 NEGATIVE DIFFERENTIAL CONDUCTIVITY 11 2.1.4
TRANSPORT MECHANISMS 13 2.2 RECENT EXPERIMENTAL PROGRESS 15 2.3 MODEL
EXPERIMENTAL SYSTEM 18 2.3.1 MATERIAL CHARACTERIZATION 19 2.3.2
EXPERIMENTAL SET-UP 21 2.4 EXPERIMENTAL RESULTS 23 2.4.1 STATIC
CURRENT-VOLTAGE CHARACTERISTICS 23 2.4.2 TEMPORAL INSTABILITIES 28 2.4.3
SPATIAL STRUCTURES 35 2.4.4 SPATIO-TEMPORAL BEHAVIOR 38 PROBLEMS 41 3
NONLINEAR DYNAMICS 42 3.1 BASIC IDEAS AND DEFINITIONS 43 3.2 FIXED
POINTS 53 3.2.1 FUNDAMENTAL BIFURCATIONS 53 3.2.2 CATASTROPHE THEORY 56
3.2.3 EXPERIMENTS 60 3.3 PERIODIC OSCILLATIONS 63 3.3.1 THE PERIODIC
STATE 63 3.3.2 BIFURCATIONS TO PERIODIC STATES 66 3.3.3 EXPERIMENTS 72
3.4 QUASIPERIODIC OSCILLATIONS 82 3.4.1 THE QUASIPERIODIC STATE 83 3.4.2
BIFURCATIONS TO QUASIPERIODIC STATES 90 3.4.3 INFLUENCE OF
NONLINEARITIES 92 3.4.4 EXPERIMENTS 100 3.5 CHAOTIC OSCILLATIONS AND
HIERARCHY OF DYNAMICAL STATES 109 3.5.1 THE CHAOTIC STATE 110 3.5.2
CHARACTERIZATION METHODS 114 3.5.3 BIFURCATIONS TO CHAOTIC STATES 134
3.6 SPATIO-TEMPORAL DYNAMICS 154 PROBLEMS 168 4 MATHEMATICAL BACKGROUND
171 4.1 BASIC CONCEPTS IN THE THEORY OF DYNAMICAL SYSTEMS 174 4.1.1
DISSIPATIVE DYNAMICAL SYSTEMS AND ATTRACTORS 174 4.1.2 INVARIANT
PROBABILITY MEASURES 177 4.1.3 INVARIANT MANIFOLDS 180 4.1.4 CHAOS 184
4.2 SCALING BEHAVIOR OF ATTRACTORS OF DISSIPATIVE DYNAMICAL SYSTEMS 185
4.2.1 SCALE INVARIANCE *. . 185 4.2.2 SYMBOLIC DYNAMICS 188 4.2.3
ANALOGY WITH STATISTICAL MECHANICS 190 4.2.4 PARTITION FUNCTION FOR
CHAOTIC ATTRACTORS OF DISSIPATIVE DYNAMICAL SYSTEMS 193 4.2.5 DISCUSSION
OF THE PARTITION FUNCTION 195 4.3 GENERALIZED DIMENSIONS, LYAPUNOV
EXPONENTS, ENTROPIES 210 4.3.1 DEFINITION OF THE SCALING FUNCTIONS FOR
SAMPLING PROCESSES 210 4.3.2 RELATION BETWEEN THE SCALING FUNCTIONS AND
A THERMODYNAMICAL FORMALISM 218 4.3.3 RELATION BETWEEN THE SCALING OF
THE SUPPORT AND THE SCALING OF THE MEASURE (GENERIC CASE) 221 4.3.4
DISCUSSION OF NONANALYTICITIES 225 4.3.5 EVIDENCE OF
PHASE-TRANSITION-LIKE BEHAVIOR IN EXPERIMENTAL OBSERVATIONS 233 4.4
EVALUATION OF EXPERIMENTAL SYSTEMS 236 4.4.1 EMBEDDING OF A TIME SERIES
237 4.4.2 LYAPUNOV EXPONENTS FROM THE DYNAMICAL EQUATIONS AND FROM TIME
SERIES 239 4.4.3 RESULTS AND STABILITY OF RESULTS 244 4.4.4 COMPARISON
WITH OTHER METHODS 259 4.5 HIGH-DIMENSIONAL SYSTEMS 263 4.5.1
SINGULAR-VALUE DECOMPOSITION 263 4.5.2 THE MODIFIED APPROACH 264 4.5.3
RESULTS ON SIMULATED DATA 267 4.6 LYAPUNOV EXPONENTS, ROTATION NUMBERS
AND THE DEGREE OF MAPPINGS 271 4.6.1 CHARACTERIZATION OF SOLUTIONS OF
DYNAMICAL SYSTEMS VIA THE DEGREE OF MAPPING 271 4.6.2 RIEMANNIAN MOTIONS
ON MANIFOLDS OF CONSTANT NEGATIVE CURVATURE 273 4.7 CONCLUSIONS 273
PROBLEMS 275 REFERENCES 277 SUBJECT INDEX 287
|
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| dewey-full | 537.6/22 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 537 - Electricity and electronics |
| dewey-raw | 537.6/22 |
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| dewey-tens | 530 - Physics |
| discipline | Physik |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T16:32:08Z |
| institution | BVB |
| isbn | 3540558454 0387558454 3540556478 0387556478 |
| language | English |
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| physical | IX, 289 S. Ill., graph. Darst. |
| publishDate | 1992 |
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| publishDateSort | 1992 |
| publisher | Springer |
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| spelling | Encounter with chaos self-organized hierarchical complexity in semiconductor experiments J. Peinke ... Berlin [u.a.] Springer 1992 IX, 289 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Chaos (théorie des systèmes) ram Semiconducteurs ram Théories non-linéaires ram Nonlinear theories Semiconductors Nichtlineare Dynamik (DE-588)4126141-0 gnd rswk-swf Nichtlineares dynamisches System (DE-588)4126142-2 gnd rswk-swf Ausdruck (DE-588)4003698-4 gnd rswk-swf Halbleiterphysik (DE-588)4113829-6 gnd rswk-swf Halbleiter (DE-588)4022993-2 gnd rswk-swf Chaostheorie (DE-588)4009754-7 gnd rswk-swf Halbleiter (DE-588)4022993-2 s Nichtlineares dynamisches System (DE-588)4126142-2 s DE-604 Halbleiterphysik (DE-588)4113829-6 s Nichtlineare Dynamik (DE-588)4126141-0 s Chaostheorie (DE-588)4009754-7 s Ausdruck (DE-588)4003698-4 s Peinke, Joachim 1956- Sonstige (DE-588)112782817 oth OEBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003507192&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Encounter with chaos self-organized hierarchical complexity in semiconductor experiments Chaos (théorie des systèmes) ram Semiconducteurs ram Théories non-linéaires ram Nonlinear theories Semiconductors Nichtlineare Dynamik (DE-588)4126141-0 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd Ausdruck (DE-588)4003698-4 gnd Halbleiterphysik (DE-588)4113829-6 gnd Halbleiter (DE-588)4022993-2 gnd Chaostheorie (DE-588)4009754-7 gnd |
| subject_GND | (DE-588)4126141-0 (DE-588)4126142-2 (DE-588)4003698-4 (DE-588)4113829-6 (DE-588)4022993-2 (DE-588)4009754-7 |
| title | Encounter with chaos self-organized hierarchical complexity in semiconductor experiments |
| title_auth | Encounter with chaos self-organized hierarchical complexity in semiconductor experiments |
| title_exact_search | Encounter with chaos self-organized hierarchical complexity in semiconductor experiments |
| title_full | Encounter with chaos self-organized hierarchical complexity in semiconductor experiments J. Peinke ... |
| title_fullStr | Encounter with chaos self-organized hierarchical complexity in semiconductor experiments J. Peinke ... |
| title_full_unstemmed | Encounter with chaos self-organized hierarchical complexity in semiconductor experiments J. Peinke ... |
| title_short | Encounter with chaos |
| title_sort | encounter with chaos self organized hierarchical complexity in semiconductor experiments |
| title_sub | self-organized hierarchical complexity in semiconductor experiments |
| topic | Chaos (théorie des systèmes) ram Semiconducteurs ram Théories non-linéaires ram Nonlinear theories Semiconductors Nichtlineare Dynamik (DE-588)4126141-0 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd Ausdruck (DE-588)4003698-4 gnd Halbleiterphysik (DE-588)4113829-6 gnd Halbleiter (DE-588)4022993-2 gnd Chaostheorie (DE-588)4009754-7 gnd |
| topic_facet | Chaos (théorie des systèmes) Semiconducteurs Théories non-linéaires Nonlinear theories Semiconductors Nichtlineare Dynamik Nichtlineares dynamisches System Ausdruck Halbleiterphysik Halbleiter Chaostheorie |
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