Chaos in dissipativen Systemen:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Berlin
Akad.-Verl.
1994
|
| Edition: | 2., überarb. und erw. Aufl. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 253 S. Ill., graph. Darst. |
| ISBN: | 3055016416 |
Staff View
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| 245 | 1 | 0 | |a Chaos in dissipativen Systemen |c Ronald W. Leven ; Bernd-Peter Koch ; Bernd Pompe |
| 250 | |a 2., überarb. und erw. Aufl. | ||
| 264 | 1 | |a Berlin |b Akad.-Verl. |c 1994 | |
| 300 | |a 253 S. |b Ill., graph. Darst. | ||
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| 650 | 4 | |a Chaotic behavior in systems | |
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| 650 | 0 | 7 | |a Chaotisches System |0 (DE-588)4316104-2 |2 gnd |9 rswk-swf |
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Record in the Search Index
| _version_ | 1804123952139730944 |
|---|---|
| adam_text | RONAL
D W. LEVE
N
BERND-PETE
R KOC
H
BERN
D POMP
E
CHAOS
IN DISSIPATIVEN SYSTEMEN
2., UEBERARBEITETE UND ERWEITERTE AUFLAGE
I
AKADEMI
E VERLAG
INHALTSVERZEICHNI
S
1 EINFUEHRUN
G 1
1
1.1 DIE LOGISTISCHE ABBILDUN
G 15
1.2 DA
S PARAMETRISC
H ERREGT
E PENDEL 23
1.3 DAS RAYLEIGH-BENARD-EXPERIMEN
T 28
2 GRUNDBEGRIFF
E 3
3
2.1 DYNAMISCHE
S SYSTEM
, PHASENRAUM
, PHASENFLUSS . . 33
2.2 DARSTELLUN
G VON TRAJEKTORIE
N 35
2.3 DISSIPATIO
N UN
D ATTRAKTORE
N 47
2.4 MASSE AUF ATTRAKTORE
N 55
3 QUANTITATIV
E CHARAKTERISIERUN
G CHAOTISCHE
R
BEWEGUNGE
N 6
3
3.1 LJAPUNOV-EXPONENTE
N 64
3.1.1 LJAPUNOV-EXPONEN
T EINDIMENSIONALE
R
ZEITDISKRETE
R SYSTEM
E 65
3.1.2 SPEKTRU
M DER LJAPUNOV-EXPONENTE
N ...
. 70
3.1.3 PROBLEM
E BEI DER EXPERIMENTELLE
N
BESTIMMUN
G VON LJAPUNOV-EXPONENTE
N . . 75
3.1.4 BESTIMMUN
G DER LJAPUNOV-EXPONENTE
N IM
COMPUTEREXPERIMEN
T 77
3.1.5 LJAPUNOV-EXPONENTE
N AU
S EXPERIMENTELLE
N
ZEITREIHEN 83
3.2 FRAKTAL
E DIMENSIONEN 89
3.2.1 KAPAZITAE
T UN
D HAUSDORFF-DIMENSION ...
. 91
3.2.2 DIMENSIONEN DES NATUERLICHE
N MASSES ...
. 96
3.2.3 RENYI-DIMENSIONE
N 98
3.2.4 EXPERIMENTELL
E BESTIMMUN
G DER
RENYI-DIMENSIONE
N 102
8 INHALTSVERZEICHNIS
3.2.5 LJAPUNOV-DIMENSIO
N 108
3.3 ENTROPIE
N 112
3.3.1 TRANSINFORMATIO
N 115
3.3.2 KOLMOGOROV-SINAJ-ENTROPI
E 120
3.3.3 BEZIEHUNGEN ZWISCHEN ENTROPIE
, LJAPUNOV
-
EXPONENTE
N UN
D INFORMATIONSDIMENSIONE
N . 128
3.3.4 EXPERIMENTELL
E BESTIMMUN
G DER ENTROPIE
N 131
4 UNIVERSALITAE
T AU
F DE
M WEG
E ZU
M CHAO
S 13
9
4.1 UEBER PERIODENVERDOPPLUNGE
N ZUM CHAO
S 141
4.1.1 EINIGE NUMERISCHE RESULTAT
E 143
4.1.2 SELBSTAEHNLICHKEI
T UN
D RENORMIERUN
G ...
. 145
4.1.3 BESTIMMUN
G DER FEIGENBAUM-KONSTANTE
N . 146
4.1.4 PERIODENVERDOPPLUN
G UN
D UNIVERSALITAE
T IN
HOEHERDIMENSIONALE
N SYSTEMEN 149
4.2 UEBERGAN
G VON QUASIPERIODIZITAE
T ZU
M CHAO
S ...
. 151
4.2.1 PERIODISCH ANGESTOSSENER ROTATO
R UN
D
STANDARDABBILDUN
G 151
4.2.2 DIE KREISABBILDUN
G 153
4.2.3 PERIODISCHE UN
D QUASIPERIODISCHE LOESUNGEN 155
4.2.4 IRRATIONAL
E WINDUNGSZAHLE
N 158
4.2.5 DER UEBERGAN
G VON QUASIPERIODIZITAE
T ZU
M
CHAO
S AU
S EXPERIMENTELLER SICHT 164
5 UEBERGANGSPHAENOMEN
E I
M CHAOTISCHE
N REGIM
E 16
7
5.1 DIE LOGISTISCHE ABBILDUN
G FUER R R^ 167
5.1.1 VERSCHMELZEN CHAOTISCHER BAENDE
R 167
5.1.2 PERIODISCHE FENSTER 168
5.2 INTERMITTEN
Z 171
5.2.1 LAENGE DER LAMINARE
N ABSCHNITT
E 173
5.2.2 SELBSTAEHNLICHKEITSBEZIEHUNGEN 175
5.3 KRISEN 176
5.3.1 KRISEN BEI DER LOGISTISCHEN ABBILDUN
G . . . 176
5.3.2 ATTRAKTORENTWICKLUN
G BEI DER
STANDARDABBILDUN
G 178
5.3.3 TRANSIENTE
S CHAO
S 183
5.3.4 KRISENINDUZIERT
E INTERMITTEN
Z 185
5.4 FRAKTAL
E EINZUGSGEBIETSGRENZEN 188
|
| any_adam_object | 1 |
| author | Leven, Ronald W. Koch, Bernd-Peter Pompe, Bernd 1956- |
| author_GND | (DE-588)1243732369 (DE-588)118039563 |
| author_facet | Leven, Ronald W. Koch, Bernd-Peter Pompe, Bernd 1956- |
| author_role | aut aut aut |
| author_sort | Leven, Ronald W. |
| author_variant | r w l rw rwl b p k bpk b p bp |
| building | Verbundindex |
| bvnumber | BV009610663 |
| callnumber-first | Q - Science |
| callnumber-label | Q172 |
| callnumber-raw | Q172.5.C45 |
| callnumber-search | Q172.5.C45 |
| callnumber-sort | Q 3172.5 C45 |
| callnumber-subject | Q - General Science |
| classification_rvk | UG 3900 |
| classification_tum | PHY 066f |
| ctrlnum | (OCoLC)36163745 (DE-599)BVBBV009610663 |
| discipline | Physik |
| edition | 2., überarb. und erw. Aufl. |
| format | Book |
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| id | DE-604.BV009610663 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:37:56Z |
| institution | BVB |
| isbn | 3055016416 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006352986 |
| oclc_num | 36163745 |
| open_access_boolean | |
| owner | DE-384 DE-92 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-20 DE-703 DE-1046 DE-1047 DE-858 DE-634 DE-83 DE-188 DE-B768 DE-11 |
| owner_facet | DE-384 DE-92 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-20 DE-703 DE-1046 DE-1047 DE-858 DE-634 DE-83 DE-188 DE-B768 DE-11 |
| physical | 253 S. Ill., graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Akad.-Verl. |
| record_format | marc |
| spelling | Leven, Ronald W. Verfasser (DE-588)1243732369 aut Chaos in dissipativen Systemen Ronald W. Leven ; Bernd-Peter Koch ; Bernd Pompe 2., überarb. und erw. Aufl. Berlin Akad.-Verl. 1994 253 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Chaotic behavior in systems Dissipatives System (DE-588)4209641-8 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Chaos (DE-588)4191419-3 gnd rswk-swf Chaostheorie (DE-588)4009754-7 gnd rswk-swf Chaotisches System (DE-588)4316104-2 gnd rswk-swf Dissipatives System (DE-588)4209641-8 s Chaos (DE-588)4191419-3 s DE-604 Chaostheorie (DE-588)4009754-7 s Chaotisches System (DE-588)4316104-2 s 1\p DE-604 Dynamisches System (DE-588)4013396-5 s 2\p DE-604 Koch, Bernd-Peter Verfasser aut Pompe, Bernd 1956- Verfasser (DE-588)118039563 aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006352986&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Leven, Ronald W. Koch, Bernd-Peter Pompe, Bernd 1956- Chaos in dissipativen Systemen Chaotic behavior in systems Dissipatives System (DE-588)4209641-8 gnd Dynamisches System (DE-588)4013396-5 gnd Chaos (DE-588)4191419-3 gnd Chaostheorie (DE-588)4009754-7 gnd Chaotisches System (DE-588)4316104-2 gnd |
| subject_GND | (DE-588)4209641-8 (DE-588)4013396-5 (DE-588)4191419-3 (DE-588)4009754-7 (DE-588)4316104-2 |
| title | Chaos in dissipativen Systemen |
| title_auth | Chaos in dissipativen Systemen |
| title_exact_search | Chaos in dissipativen Systemen |
| title_full | Chaos in dissipativen Systemen Ronald W. Leven ; Bernd-Peter Koch ; Bernd Pompe |
| title_fullStr | Chaos in dissipativen Systemen Ronald W. Leven ; Bernd-Peter Koch ; Bernd Pompe |
| title_full_unstemmed | Chaos in dissipativen Systemen Ronald W. Leven ; Bernd-Peter Koch ; Bernd Pompe |
| title_short | Chaos in dissipativen Systemen |
| title_sort | chaos in dissipativen systemen |
| topic | Chaotic behavior in systems Dissipatives System (DE-588)4209641-8 gnd Dynamisches System (DE-588)4013396-5 gnd Chaos (DE-588)4191419-3 gnd Chaostheorie (DE-588)4009754-7 gnd Chaotisches System (DE-588)4316104-2 gnd |
| topic_facet | Chaotic behavior in systems Dissipatives System Dynamisches System Chaos Chaostheorie Chaotisches System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006352986&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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