Chaos in electronics:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Kluwer
1997
|
| Series: | Mathematical modelling
2 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 481 S. graph. Darst. |
| ISBN: | 0792345762 |
Staff View
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Record in the Search Index
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| adam_text | CHAOS IN ELECTRONICS BY M. A. VAN WYK TECHNIKON SOUTHERN AFRICA, AND
RAND AFRIKAANS UNIVERSITY, JOHANNESBURG, SOUTH AFRICA AND W.-H. STEEB
RAND AFRIKAANS UNIVERSITY, JOHANNESBURG, SOUTH AFRICA KLUWER ACADEMIC
PUBLISHERS DORDRECHT / BOSTON / LONDON CONTENTS LIST OF SYMBOLS IX
PREFACE XI 1 INTRODUCTION 1 1.1 WHAT IS CHAOS? 1 1.2 HISTORICAL ACCOUNT
2 1.3 EXAMPLES OF CHAOTIC SYSTEMS 4 1.4 ORGANIZATION OF THE BOOK 5 2
ANALYSIS OF CHAOTIC SYSTEMS 7 2.1 INTRODUCTION 7 2.2 ATTRACTORS AND
THEIR DIMENSIONS 8 2.2.1 DEFINITIONS OF DIMENSION 11 2.3 HARMONIC
BALANCE METHOD 20 2.3.1 NONLINEAR STATE EQUATIONS : 20 2.3.2 THE
HARMONIC BALANCE METHOD 24 2.3.3 GENESIO-TESI PROCEDURE 25 2.4 SNAP-BACK
REPELLERS .- 28 2.4.1 MAROTTO S THEOREM 28 2.4.2 SHIRAIWA AND KURATA S
THEOREM 30 2.5 MELNIKOV S METHOD 31 2.6 HOPF BIFURCATION 43 2.6.1 HOPF
BIFURCATION OF MAPS 43 2.6.2 HOPF BIFURCATION OF FLOWS 45 2.7 LYAPUNOV
EXPONENTS 52 2.7.1 LYAPUNOV EXPONENTS FROM DYNAMICAL EQUATIONS 52 2.7.2
LYAPUNOV EXPONENTS FROM TIME SERIES 56 2.8 SHIL NIKOV S METHOD 60 2.9
SYMBOLIC DYNAMICS 63 2.10 POWER SPECTRAL DENSITY 70 3 ONE-DIMENSIONAL
MAPS IN ELECTRONICS 75 3.1 INTRODUCTION 75 3.2 SWITCHED CAPACITOR
CIRCUIT: LOGISTIC MAP 76 3.2.1 CIRCUIT DESCRIPTION 76 3.2.2 ANALYSIS 77
3.3 CONTROLLED SWITCHED-MODE CONVERTER: ZIGZAG MAP 79 3.3.1 FUNCTIONAL
DESCRIPTION 79 3.3.2 ANALYSIS 81 3.3.3 STABILITY ANALYSIS 83 3.3.4
INVARIANT DENSITY AND LYAPUNOV EXPONENT 87 3.3.5 SIMULATION RESULTS 90
3.4 CHAOTIC NOISE GENERATORS 92 3.4.1 TRANSFORMATION OF RANDOM VARIABLES
92 3.4.2 GENERATING CHAOS WITH PRESCRIBED DISTRIBUTION 94 3.4.3 SURVEY
ON LITERATURE 100 3.5 SIGMA-DELTA MODULATORS 106 3.5.1 ANALYSIS 107
HIGHER DIMENSIONAL MAPS IN ELECTRONICS 119 4.1 INTRODUCTION 119 4.2
COUPLED LOGISTIC MAP 120 4.2.1 CIRCUIT DESCRIPTION 122 4.2.2 SIMULATION
RESULTS 124 4.3 CHAOS IN DIGITAL FILTERS 128 4.4 CHAOTIC BEHAVIOUR IN AN
ADAPTIVE IIR FILTER 135 4.5 CHAOTIC ROUNDING ERROR IN DIGITAL CONTROL
SYSTEMS 144 4.5.1 MIXED MAPPING MODEL OF A DIGITAL CONTROL SYSTEM 144
4.5.2 CONDITIONS FOR THE EXISTENCE OF CHAOS 149 4.6 CHAOS IN NONLINEAR
SAMPLED-DATA CONTROL SYSTEMS 158 4.6.1 CHAOS IN STATE-FEEDBACK
SAMPLED-DATA CONTROL SYSTEMS 158 AUTONOMOUS SYSTEMS IN ELECTRONICS 171
5.1 INTRODUCTION 171 5.2 SHINRIKI S CIRCUIT 172 5.2.1 CIRCUIT AND MODEL
DESCRIPTION 172 5.2.2 FIXED POINT STABILITY AND BIFURCATION ANALYSIS 174
5.2.3 NUMERICAL SIMULATION RESULTS 180 5.3 QUASI-HARMONIC OSCILLATOR 185
5.3.1 THE CONTINUOUS CHAOS GENERATOR 185 5.3.2 ANALYSIS OF THE POINCARE
MAP 188 5.3.3 NUMERICAL RESULTS 190 5.4 CHAOTIC RING SELF-EXCITED
OSCILLATORY SYSTEMS 194 5.4.1 MODEL OF A RING SELF-EXCITED OSCILLATORY
SYSTEM 194 5.5 CHUA S CIRCUIT FAMILY 199 5.5.1 INTRODUCTION 199 5.5.2
BRIEF HISTORICAL REVIEW 200 5.5.3 NUMERICAL STUDY 205 VI 5.6
HYPERCHAOTIC CIRCUIT 213 6 DRIVEN SYSTEMS 221 6.1 INTRODUCTION 221 6.2
DRIVEN RLC CIRCUIT 223 6.2.1 FERRORESONANT CIRCUIT 223 6.2.2 DRIVEN
EL-VARACTOR DIODE CIRCUITS 231 6.2.3 COUPLED #L-DIODE CIRCUITS 239 6.3
TRIGGERED ASTABLE MULTIVIBRATOR 241 6.3.1 ANALYSIS OF THE MODEL 242
6.3.2 NUMERICAL RESULTS AND EXPERIMENTAL CIRCUIT 245 6.4 PHASE-LOCKED
LOOPS 248 6.4.1 INTRODUCTION 248 6.4.2 SECOND-ORDER PHASE-LOCKED LOOP -
249 6.4.3 COUPLED PHASE-LOCKED LOOPS 260 6.5 AUTOMATIC GAIN CONTROL
LOOPS 266 6.6 RF JOSEPHSON JUNCTION 270 6.7 CELLULAR NEURAL NETWORKS 274
6.7.1 THEORETICAL AND NUMERICAL RESULTS 275 6.7.2 EXPERIMENTAL CELLULAR
NEURAL NETWORK CIRCUIT 282 6.8 PHASE COUPLED SYSTEMS 284 7 CONTROLLING
CHAOS 291 7.1 INTRODUCTION 291 7.2 OTT-GREBOGI-YORKE METHOD 292 7.2.1
THEORY 293 7.2.2 UNAVAILABILITY OF AN ANALYTIC MODEL 300 7.2.3 CONTROL
OF PERIOD-M ORBITS 300 7.2.4, EXPERIMENTAL EMBEDDING 301 7.2.5 SURVEY ON
APPLICATIONS OF THE OGY METHOD 306 7.2.6 FURTHER ASPECTS 310 7.3 DIRECT
CONTROL FROM SCALAR TIME SERIES 312 7.4 TARGETING 316 7.5
SELF-CONTROLLING FEEDBACK 323 7.6 OTHER METHODS FOR CONTROLLING CHAOS
336 8 CHAOS IN ELECTRONICS: THE FUTURE 341 8.1 PHASES OF CHAOS RESEARCH:
PAST AND PRESENT 341 8.2 CHAOS RESEARCH: THE FUTURE 342 A
ONE-DIMENSIONAL MAPS 343 A.I INTRODUCTION 343 A.2 ORBITS AND THEIR
PROPERTIES 344 A.3 HYPERBOLICITY 356 A.4 STABILITY 358 VII A.5
TOPOLOGICAL CONJUGACY 364 A.6 CHAOS 368 A.7 INVARIANT DENSITY 371 A.8
VARIATIONAL EQUATION AND LYAPUNOV EXPONENT 378 A.9 ERGODIC THEOREM 381
A.10 INFORMATION EXCHANGE 387 A.LL CONNECTION WITH HIGHER DIMENSIONAL
MAPS 390 B IMPORTANT DEFINITIONS AND THEOREMS 395 C MATHEMATICAL METHODS
401 C.I LEAST-SQUARES LINEARI2ED FLOW ESTIMATION 401 C.2 LINE
INTERSECTION ALGORITHM 403 D MATLAB PROGRAM LISTINGS 405 D.I LYAPUNOV
EXPONENTS FOR MAPS 405 D.2 LYAPUNOV EXPONENTS FOR FLOWS 407 D.3 LYAPUNOV
EXPONENTS FROM TIME SERIES 409 D.4 STANDARD GRAM-SCHMIDT PROCEDURE 412
D.5 MODIFIED GRAM-SCHMIDT PROCEDURE . . . . 1 413 BIBLIOGRAPHY 415 INDEX
475 -VIN
|
| any_adam_object | 1 |
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| dewey-full | 621.3815/33/011857 |
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| dewey-search | 621.3815/33/011857 |
| dewey-sort | 3621.3815 233 511857 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik Elektrotechnik Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Book |
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| indexdate | 2024-07-09T18:13:32Z |
| institution | BVB |
| isbn | 0792345762 |
| language | English |
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| physical | XI, 481 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Kluwer |
| record_format | marc |
| series | Mathematical modelling |
| series2 | Mathematical modelling |
| spelling | Wyk, M. A. van Verfasser aut Chaos in electronics by M. A. van Wyk and W.-H. Steeb Dordrecht [u.a.] Kluwer 1997 XI, 481 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematical modelling 2 Chaos (théorie des systèmes) ram Électronique ram Chaotic behavior in systems Electronic circuits Mathematical models. Electronic systems Elektronik (DE-588)4014346-6 gnd rswk-swf Chaostheorie (DE-588)4009754-7 gnd rswk-swf Chaostheorie (DE-588)4009754-7 s Elektronik (DE-588)4014346-6 s DE-604 Steeb, Willi-Hans 1945- Verfasser (DE-588)12155614X aut Mathematical modelling 2 (DE-604)BV011613239 2 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007858049&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wyk, M. A. van Steeb, Willi-Hans 1945- Chaos in electronics Mathematical modelling Chaos (théorie des systèmes) ram Électronique ram Chaotic behavior in systems Electronic circuits Mathematical models. Electronic systems Elektronik (DE-588)4014346-6 gnd Chaostheorie (DE-588)4009754-7 gnd |
| subject_GND | (DE-588)4014346-6 (DE-588)4009754-7 |
| title | Chaos in electronics |
| title_auth | Chaos in electronics |
| title_exact_search | Chaos in electronics |
| title_full | Chaos in electronics by M. A. van Wyk and W.-H. Steeb |
| title_fullStr | Chaos in electronics by M. A. van Wyk and W.-H. Steeb |
| title_full_unstemmed | Chaos in electronics by M. A. van Wyk and W.-H. Steeb |
| title_short | Chaos in electronics |
| title_sort | chaos in electronics |
| topic | Chaos (théorie des systèmes) ram Électronique ram Chaotic behavior in systems Electronic circuits Mathematical models. Electronic systems Elektronik (DE-588)4014346-6 gnd Chaostheorie (DE-588)4009754-7 gnd |
| topic_facet | Chaos (théorie des systèmes) Électronique Chaotic behavior in systems Electronic circuits Mathematical models. Electronic systems Elektronik Chaostheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007858049&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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