Chaos for engineers: theory, applications, and control
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2000
|
| Ausgabe: | 2., rev. ed. |
| Schriftenreihe: | Physics and astronomy online library
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 135 - 140 |
| Beschreibung: | XII, 142 S. Ill., graph. Darst. |
| ISBN: | 3540665749 |
Internformat
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| 245 | 1 | 0 | |a Chaos for engineers |b theory, applications, and control |c Tomasz Kapitaniak |
| 250 | |a 2., rev. ed. | ||
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2000 | |
| 300 | |a XII, 142 S. |b Ill., graph. Darst. | ||
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| 500 | |a Literaturverz. S. 135 - 140 | ||
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| 650 | 4 | |a Control theory | |
| 650 | 4 | |a Nonlinear theories | |
| 650 | 4 | |a Systems engineering | |
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Datensatz im Suchindex
| _version_ | 1804127542913794048 |
|---|---|
| adam_text | CONTENTS 1. RESPONSE OF A NONLINEAR SYSTEM 1 PROBLEMS 4 2. CONTINUOUS
DYNAMICAL SYSTEMS 5 2.1 PHASE SPACE AND ATTRACTORS 5 2.2 FIXED POINTS
AND LINEARISATION 11 2.3 RELATION BETWEEN NONLINEAR AND LINEAR SYSTEMS
17 2.4 POINCARE MAP 20 2.5 LYAPUNOV EXPONENTS AND CHAOS 23 2.6 SPECTRAL
ANALYSIS 27 2.7 DESCRIPTION OF DIFFERENT ATTRACTORS 31 2.8
RECONSTRUCTION OF ATTRACTOR FROM TIME SERIES 31 PROBLEMS 35 3. DISCRETE
DYNAMICAL SYSTEMS 39 3.1 INTRODUCTORY EXAMPLE 39 3.2 ONE-DIMENSIONAL
MAPS 40 3.3 BIFURCATIONS OF ONE-DIMENSIONAL MAPS 48 3.4 ONE-DIMENSIONAL
MAPS AND HIGHER-DIMENSIONAL SYSTEMS 49 PROBLEMS 52 4. FRACTALS 53 4.1
THE CANTOR SET 53 4.2 FRACTAL DIMENSIONS 56 4.3 FRACTAL SETS 59 4.4
SMALE HORSESHOE 61 4.5 FRACTAL BASIN BOUNDARIES 64 PROBLEMS 67 5. ROUTES
TO CHAOS 69 5.1 PERIOD-DOUBLING 69 5.2 QUASIPERIODIC ROUTE 71 5.3
INTERMITTENCY 74 5.4 DUFFING S OSCILLATOR: DISCRETE DYNAMICS APPROACH 77
5.5 CONDITION FOR CHAOS BY PERIOD DOUBLING ROUTE 80 PROBLEMS 85 6.
APPLICATIONS 87 6.1 CHAOS IN SYSTEMS WITH DRY FRICTION 87 6.2 CHAOS IN
CHEMICAL REACTIONS 94 6.3 ELASTICA AND SPATIAL CHAOS 97 6.4 ELECTRONIC
CIRCUITS AND CHAOS 99 6.5 CHAOS IN MODEL OF EL NINO EVENTS 105 7.
CONTROLLING CHAOS ILL 7.1 CONTROLLING METHODS ILL 7.1.1 CONTROL THROUGH
FEEDBACK ILL 7.1.2 CONTROL BY SYSTEM DESIGN 115 7.1.3 SELECTION OF
CONTROLLING METHOD 119 7.2 SYNCHRONISATION OF CHAOS 120 7.2.1 PECORA AND
CARROLL S APPROACH 120 7.2.2 SYNCHRONISATION BY CONTINUOUS CONTROL 122
7.3 SECURE COMMUNICATION 127 7.4 ESTIMATION OF THE LARGEST LYAPUNOV
EXPONENT USING CHAOS SYNCHRONISATION 131 REFERENCES 137 INDEX 141
|
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| callnumber-first | T - Technology |
| callnumber-label | TA168 |
| callnumber-raw | TA168 |
| callnumber-search | TA168 |
| callnumber-sort | TA 3168 |
| callnumber-subject | TA - General and Civil Engineering |
| classification_rvk | SK 820 UG 3900 |
| classification_tum | MAT 587f |
| ctrlnum | (OCoLC)722731985 (DE-599)BVBBV012861456 |
| dewey-full | 620.001171 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.001171 |
| dewey-search | 620.001171 |
| dewey-sort | 3620.001171 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik Mathematik |
| edition | 2., rev. ed. |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:35:01Z |
| institution | BVB |
| isbn | 3540665749 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008752262 |
| oclc_num | 722731985 |
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| physical | XII, 142 S. Ill., graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Springer |
| record_format | marc |
| series2 | Physics and astronomy online library |
| spelling | Kapitaniak, Tomasz 1959- Verfasser (DE-588)115857982 aut Chaos for engineers theory, applications, and control Tomasz Kapitaniak 2., rev. ed. Berlin [u.a.] Springer 2000 XII, 142 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Physics and astronomy online library Literaturverz. S. 135 - 140 Chaotic behavior in systems Control theory Nonlinear theories Systems engineering Chaostheorie (DE-588)4009754-7 gnd rswk-swf Chaostheorie (DE-588)4009754-7 s DE-604 OEBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008752262&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kapitaniak, Tomasz 1959- Chaos for engineers theory, applications, and control Chaotic behavior in systems Control theory Nonlinear theories Systems engineering Chaostheorie (DE-588)4009754-7 gnd |
| subject_GND | (DE-588)4009754-7 |
| title | Chaos for engineers theory, applications, and control |
| title_auth | Chaos for engineers theory, applications, and control |
| title_exact_search | Chaos for engineers theory, applications, and control |
| title_full | Chaos for engineers theory, applications, and control Tomasz Kapitaniak |
| title_fullStr | Chaos for engineers theory, applications, and control Tomasz Kapitaniak |
| title_full_unstemmed | Chaos for engineers theory, applications, and control Tomasz Kapitaniak |
| title_short | Chaos for engineers |
| title_sort | chaos for engineers theory applications and control |
| title_sub | theory, applications, and control |
| topic | Chaotic behavior in systems Control theory Nonlinear theories Systems engineering Chaostheorie (DE-588)4009754-7 gnd |
| topic_facet | Chaotic behavior in systems Control theory Nonlinear theories Systems engineering Chaostheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008752262&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT kapitaniaktomasz chaosforengineerstheoryapplicationsandcontrol |