Nonlinear ordinary differential equations: an introduction to dynamical systems
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford [u.a.]
Oxford Univ. Press
2005
|
| Ausgabe: | 3. ed., reprint. (with corr.) |
| Schriftenreihe: | Oxford applied and engineering mathematics
2 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 550 S. Ill., graph. Darst. |
| ISBN: | 0198565631 0198565623 |
Internformat
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| 245 | 1 | 0 | |a Nonlinear ordinary differential equations |b an introduction to dynamical systems |c D. W. Jordan and P. Smith |
| 250 | |a 3. ed., reprint. (with corr.) | ||
| 264 | 1 | |a Oxford [u.a.] |b Oxford Univ. Press |c 2005 | |
| 300 | |a X, 550 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Oxford applied and engineering mathematics |v 2 | |
| 650 | 4 | |a Differential equations, Nonlinear | |
| 650 | 0 | 7 | |a Nichtlineare gewöhnliche Differentialgleichung |0 (DE-588)4478411-9 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
1 Second-order differential equations in the phase
plane
1.1 Phase diagram for the pendulum equation
1
1.3
1.4
5.
1
1
1
Problems
2
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
Problems
3
3.
3.2
3.3
3.4
3.5
3.6
Problems
4
4.1
4.2
Contents
4.3 An
4.4
4.5 The equivalent linear equation by harmonic balance
Problems
5
5.1
5.2
5.3
5.4
5.5
5.6
5.7
5.8
5.9
5.10
5.11
5.12
Problems
6
6.1
6.2
6.3
6.4
6.5
6.6
6.7
Problems
7
response, stability, and entrainment
7.1
7.2
7.3
7.4
equation
7.5
7.6
7.7
Problems
8
8.1
8.2
Contents ix
8.3
8.4
8.5
8.6
8.7
8.8
8.9
η
8.
η
8.
Problems
9
9.
9.2
9.3
9.4
9.5
Problems
10
zero solution
1
10.2
10.3
10.4
10.5
10.6
1
10.8
10.9
1
systems
10.11
Problems
11 The existence of periodic solutions
I I.I The
1
11
1
Problems
Contents
1
12.1
12.2
12.3
12.4
12.5 Hopf
12.6
12.7
Problems
1
chaos
13.1
1
13.3
1
1
1
1
1
1
Problems
Hints and answers to the problems
Appendices
A Existence and uniqueness theorems
В
С
D
References and further reading
Index
|
| adam_txt |
Contents
1 Second-order differential equations in the phase
plane
1.1 Phase diagram for the pendulum equation
1
1.3
1.4
5.
1
1
1
Problems
2
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
Problems
3
3.
3.2
3.3
3.4
3.5
3.6
Problems
4
4.1
4.2
Contents
4.3 An
4.4
4.5 The equivalent linear equation by harmonic balance
Problems
5
5.1
5.2
5.3
5.4
5.5
5.6
5.7
5.8
5.9
5.10
5.11
5.12
Problems
6
6.1
6.2
6.3
6.4
6.5
6.6
6.7
Problems
7
response, stability, and entrainment
7.1
7.2
7.3
7.4
equation
7.5
7.6
7.7
Problems
8
8.1
8.2
Contents ix
8.3
8.4
8.5
8.6
8.7
8.8
8.9
η
8.
η
8.
Problems
9
9.
9.2
9.3
9.4
9.5
Problems
10
zero solution
1
10.2
10.3
10.4
10.5
10.6
1
10.8
10.9
1
systems
10.11
Problems
11 The existence of periodic solutions
I I.I The
1
11
1
Problems
Contents
1
12.1
12.2
12.3
12.4
12.5 Hopf
12.6
12.7
Problems
1
chaos
13.1
1
13.3
1
1
1
1
1
1
Problems
Hints and answers to the problems
Appendices
A Existence and uniqueness theorems
В
С
D
References and further reading
Index |
| any_adam_object | 1 |
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| author | Jordan, Dominic W. Smith, Peter 1935- |
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| dewey-full | 515.352 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.352 |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 3. ed., reprint. (with corr.) |
| format | Book |
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| illustrated | Illustrated |
| index_date | 2024-07-02T17:52:02Z |
| indexdate | 2024-07-09T20:58:46Z |
| institution | BVB |
| isbn | 0198565631 0198565623 |
| language | English |
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| physical | X, 550 S. Ill., graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
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| publisher | Oxford Univ. Press |
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| series | Oxford applied and engineering mathematics |
| series2 | Oxford applied and engineering mathematics |
| spelling | Jordan, Dominic W. Verfasser (DE-588)115172602 aut Nonlinear ordinary differential equations an introduction to dynamical systems D. W. Jordan and P. Smith 3. ed., reprint. (with corr.) Oxford [u.a.] Oxford Univ. Press 2005 X, 550 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Oxford applied and engineering mathematics 2 Differential equations, Nonlinear Nichtlineare gewöhnliche Differentialgleichung (DE-588)4478411-9 gnd rswk-swf Nichtlineare gewöhnliche Differentialgleichung (DE-588)4478411-9 s DE-604 Smith, Peter 1935- Verfasser (DE-588)141762349 aut Oxford applied and engineering mathematics 2 (DE-604)BV012858874 2 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015698601&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jordan, Dominic W. Smith, Peter 1935- Nonlinear ordinary differential equations an introduction to dynamical systems Oxford applied and engineering mathematics Differential equations, Nonlinear Nichtlineare gewöhnliche Differentialgleichung (DE-588)4478411-9 gnd |
| subject_GND | (DE-588)4478411-9 |
| title | Nonlinear ordinary differential equations an introduction to dynamical systems |
| title_auth | Nonlinear ordinary differential equations an introduction to dynamical systems |
| title_exact_search | Nonlinear ordinary differential equations an introduction to dynamical systems |
| title_exact_search_txtP | Nonlinear ordinary differential equations an introduction to dynamical systems |
| title_full | Nonlinear ordinary differential equations an introduction to dynamical systems D. W. Jordan and P. Smith |
| title_fullStr | Nonlinear ordinary differential equations an introduction to dynamical systems D. W. Jordan and P. Smith |
| title_full_unstemmed | Nonlinear ordinary differential equations an introduction to dynamical systems D. W. Jordan and P. Smith |
| title_short | Nonlinear ordinary differential equations |
| title_sort | nonlinear ordinary differential equations an introduction to dynamical systems |
| title_sub | an introduction to dynamical systems |
| topic | Differential equations, Nonlinear Nichtlineare gewöhnliche Differentialgleichung (DE-588)4478411-9 gnd |
| topic_facet | Differential equations, Nonlinear Nichtlineare gewöhnliche Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015698601&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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