Attractors of second order stochastic differential equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Logos-Verl.
2001 [erschienen] 2002
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 104 S. graph. Darst. |
| ISBN: | 3897229706 |
Internformat
MARC
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| 003 | DE-604 | ||
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| 020 | |a 3897229706 |9 3-89722-970-6 | ||
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| 100 | 1 | |a Keller, Hannes |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Attractors of second order stochastic differential equations |c von Hannes Keller |
| 264 | 1 | |a Berlin |b Logos-Verl. |c 2001 [erschienen] 2002 | |
| 300 | |a 104 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Zugl.: Bremen, Univ., Diss., 2001 | ||
| 650 | 0 | 7 | |a Attraktor |0 (DE-588)4140563-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Hyperbolische Differentialgleichung |0 (DE-588)4131213-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Stochastische Differentialgleichung |0 (DE-588)4057621-8 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Stochastische Differentialgleichung |0 (DE-588)4057621-8 |D s |
| 689 | 0 | 1 | |a Attraktor |0 (DE-588)4140563-8 |D s |
| 689 | 0 | 2 | |a Hyperbolische Differentialgleichung |0 (DE-588)4131213-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009852558&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009852558 | |
Datensatz im Suchindex
| _version_ | 1808226761969762304 |
|---|---|
| adam_text |
CONTENTS
INTRODUCTION
1
1
RANDOM
DYNAMICAL
SYSTEMS
5
1.1
RANDOM
DYNAMICAL
SYSTEMS
.
5
1.2
RANDOM
ATTRACTORS
.
7
1.2.1
EXISTENCE
OF
RANDOM
ATTRACTORS
.
11
1.2.2
TRANSFORMATION
OF
RANDOM
DYNAMICAL
SYSTEMS
.
21
1.3
THE
ORNSTEIN-UHLENBECK
PROCESS
AND
THE
CONSTRUCTION
OF
ATTRACTING
SETS
26
1.3.1
WIENER
PROCESS
.
26
1.3.2
THE
ORNSTEIN-UHLENBECK
PROCESS
.
27
1.3.3
EXAMPLES
OF
ATTRACTING
SETS
AND
ATTRACTORS
.
30
2
ATTRACTORS
OF
SECOND
ORDER
STOCHASTIC
DIFFERENTIAL
EQUATIONS
37
2.1
PATHWISE
SOLUTIONS
OF
SECOND
ORDER
SDE
OF
SPECIAL
STRUCTURE
.
38
2.2
ATTRACTORS
FOR
SECOND
ORDER
SDE
.
40
2.3
THE
DUFFING-VAN
DER
POL
OSCILLATOR
.
48
2.3.1
THE
DETERMINISTIC
DUFFING-VAN
DER
POL
.
49
2.3.2
THE
STOCHASTIC
DUFFING-VAN
DER
POL
.
50
2.3.3
THE
STOCHASTIC
HOPF
BIFURCATION
.
51
2.3.4
RESULTS
.
56
2.4
THE
KRAMERS
OSCILLATOR
.
64
VI
CONTENTS
3
ATTRACTORS
OF
STOCHASTIC
HYPERBOLIC
DIFFERENTIAL
EQUATIONS
73
3.1
MATHEMATICAL
SETUP
AND
DEFINITIONS
.
74
3.1.1
FUNCTIONAL
ANALYSIS
.
74
3.1.2
WHITE
NOISE
AND
ORNSTEIN-UHLENBECK
PROCESS
.
77
3.1.3
DEFINITION
OF
THE
COEFFICIENT
FUNCTIONS
AND
THE
CONJUGATION
TO
AN
RDE
.
81
3.2
EXISTENCE
OF
AN
ATTRACTOR
.
85
3.2.1
ABSORBING
SET
IN
E
O
.
86
3.2.2
SPLITTING
THE
SOLUTION
OPERATOR
.
88
3.2.3
ESTIMATES
OF
0*,
0
C
,
J
D
.
89
3.2.4
ABSORBING
SETS
IN
.
92
3.2.5
PROOFS
OF
THEOREMS
3.2.1
AND
3.2.2
.
94
3.3
EXAMPLES
.
94
NOTATION
INDEX
.
103
SUBJECT
INDEX
.
104 |
| any_adam_object | 1 |
| author | Keller, Hannes |
| author_facet | Keller, Hannes |
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| bvnumber | BV014393048 |
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| ctrlnum | (OCoLC)52270936 (DE-599)BVBBV014393048 |
| discipline | Mathematik |
| format | Thesis Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV014393048 |
| illustrated | Illustrated |
| indexdate | 2024-08-24T00:30:19Z |
| institution | BVB |
| isbn | 3897229706 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009852558 |
| oclc_num | 52270936 |
| open_access_boolean | |
| owner | DE-703 DE-706 DE-634 |
| owner_facet | DE-703 DE-706 DE-634 |
| physical | 104 S. graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Logos-Verl. |
| record_format | marc |
| spelling | Keller, Hannes Verfasser aut Attractors of second order stochastic differential equations von Hannes Keller Berlin Logos-Verl. 2001 [erschienen] 2002 104 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Zugl.: Bremen, Univ., Diss., 2001 Attraktor (DE-588)4140563-8 gnd rswk-swf Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd rswk-swf Stochastische Differentialgleichung (DE-588)4057621-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Stochastische Differentialgleichung (DE-588)4057621-8 s Attraktor (DE-588)4140563-8 s Hyperbolische Differentialgleichung (DE-588)4131213-2 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009852558&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Keller, Hannes Attractors of second order stochastic differential equations Attraktor (DE-588)4140563-8 gnd Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd Stochastische Differentialgleichung (DE-588)4057621-8 gnd |
| subject_GND | (DE-588)4140563-8 (DE-588)4131213-2 (DE-588)4057621-8 (DE-588)4113937-9 |
| title | Attractors of second order stochastic differential equations |
| title_auth | Attractors of second order stochastic differential equations |
| title_exact_search | Attractors of second order stochastic differential equations |
| title_full | Attractors of second order stochastic differential equations von Hannes Keller |
| title_fullStr | Attractors of second order stochastic differential equations von Hannes Keller |
| title_full_unstemmed | Attractors of second order stochastic differential equations von Hannes Keller |
| title_short | Attractors of second order stochastic differential equations |
| title_sort | attractors of second order stochastic differential equations |
| topic | Attraktor (DE-588)4140563-8 gnd Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd Stochastische Differentialgleichung (DE-588)4057621-8 gnd |
| topic_facet | Attraktor Hyperbolische Differentialgleichung Stochastische Differentialgleichung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009852558&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT kellerhannes attractorsofsecondorderstochasticdifferentialequations |