Perturbation Methods in Non-Linear Systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1972
|
| Schriftenreihe: | Applied Mathematical Sciences
8 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This volume is intended to provide a comprehensive treatment of recent developments in methods of perturbation for nonlinear systems of ordinary differential equations. In this respect, it appears to be a unique work. The main goal is to describe perturbation techniques, discuss their advantages and limitations and give some examples. The approach is founded on analytical and numerical methods of nonlinear mechanics. Attention has been given to the extension of methods to high orders of approximation, required now by the increased accuracy of measurements in all fields of science and technology. The main theorems relevant to each perturbation technique are outlined, but they only provide a foundation and are not the objective of these notes. Each chapter concludes with a detailed survey of the pertinent literature, supplemental information and more examples to complement the text, when necessary, for better comprehension. The references are intended to provide a guide for background information and for the reader who wishes to analyze any particular point in more detail. The main sources referenced are in the fields of differential equations, nonlinear oscillations and celestial mechanics. Thanks are due to Katherine MacDougall and Sandra Spinacci for their patience and competence in typing these notes. Partial support from the Mathematics Program of the Office of Naval Research is gratefully acknowledged |
| Beschreibung: | 1 Online-Ressource (IX, 369 p) |
| ISBN: | 9781461264002 9780387900544 |
| DOI: | 10.1007/978-1-4612-6400-2 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042420483 | ||
| 003 | DE-604 | ||
| 005 | 20200707 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s1972 |||| o||u| ||||||eng d | ||
| 020 | |a 9781461264002 |c Online |9 978-1-4612-6400-2 | ||
| 020 | |a 9780387900544 |c Print |9 978-0-387-90054-4 | ||
| 024 | 7 | |a 10.1007/978-1-4612-6400-2 |2 doi | |
| 035 | |a (OCoLC)863786206 | ||
| 035 | |a (DE-599)BVBBV042420483 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
| 082 | 0 | |a 510 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Giacaglia, Georgio Eugenio Oscare |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Perturbation Methods in Non-Linear Systems |c by Georgio Eugenio Oscare Giacaglia |
| 264 | 1 | |a New York, NY |b Springer New York |c 1972 | |
| 300 | |a 1 Online-Ressource (IX, 369 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 1 | |a Applied Mathematical Sciences |v 8 | |
| 500 | |a This volume is intended to provide a comprehensive treatment of recent developments in methods of perturbation for nonlinear systems of ordinary differential equations. In this respect, it appears to be a unique work. The main goal is to describe perturbation techniques, discuss their advantages and limitations and give some examples. The approach is founded on analytical and numerical methods of nonlinear mechanics. Attention has been given to the extension of methods to high orders of approximation, required now by the increased accuracy of measurements in all fields of science and technology. The main theorems relevant to each perturbation technique are outlined, but they only provide a foundation and are not the objective of these notes. Each chapter concludes with a detailed survey of the pertinent literature, supplemental information and more examples to complement the text, when necessary, for better comprehension. The references are intended to provide a guide for background information and for the reader who wishes to analyze any particular point in more detail. The main sources referenced are in the fields of differential equations, nonlinear oscillations and celestial mechanics. Thanks are due to Katherine MacDougall and Sandra Spinacci for their patience and competence in typing these notes. Partial support from the Mathematics Program of the Office of Naval Research is gratefully acknowledged | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Mathematics, general | |
| 650 | 4 | |a Mathematik | |
| 650 | 0 | 7 | |a Nichtlineares System |0 (DE-588)4042110-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Störung |0 (DE-588)4133232-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Störungstheorie |0 (DE-588)4128420-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtlineare Mechanik |0 (DE-588)4042095-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentialgleichung |0 (DE-588)4012249-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Differentialgleichung |0 (DE-588)4012249-9 |D s |
| 689 | 0 | 1 | |a Nichtlineares System |0 (DE-588)4042110-7 |D s |
| 689 | 0 | 2 | |a Störung |0 (DE-588)4133232-5 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Störungstheorie |0 (DE-588)4128420-3 |D s |
| 689 | 1 | 1 | |a Nichtlineares System |0 (DE-588)4042110-7 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 689 | 2 | 0 | |a Differentialgleichung |0 (DE-588)4012249-9 |D s |
| 689 | 2 | 1 | |a Störungstheorie |0 (DE-588)4128420-3 |D s |
| 689 | 2 | |8 3\p |5 DE-604 | |
| 689 | 3 | 0 | |a Nichtlineare Mechanik |0 (DE-588)4042095-4 |D s |
| 689 | 3 | 1 | |a Störungstheorie |0 (DE-588)4128420-3 |D s |
| 689 | 3 | |8 4\p |5 DE-604 | |
| 830 | 0 | |a Applied Mathematical Sciences |v 8 |w (DE-604)BV040244599 |9 8 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4612-6400-2 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027855900 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 3\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 4\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804153092423286784 |
|---|---|
| any_adam_object | |
| author | Giacaglia, Georgio Eugenio Oscare |
| author_facet | Giacaglia, Georgio Eugenio Oscare |
| author_role | aut |
| author_sort | Giacaglia, Georgio Eugenio Oscare |
| author_variant | g e o g geo geog |
| building | Verbundindex |
| bvnumber | BV042420483 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863786206 (DE-599)BVBBV042420483 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-6400-2 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04084nmm a2200673zcb4500</leader><controlfield tag="001">BV042420483</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20200707 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1972 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461264002</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-4612-6400-2</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780387900544</subfield><subfield code="c">Print</subfield><subfield code="9">978-0-387-90054-4</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4612-6400-2</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)863786206</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042420483</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Giacaglia, Georgio Eugenio Oscare</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Perturbation Methods in Non-Linear Systems</subfield><subfield code="c">by Georgio Eugenio Oscare Giacaglia</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, NY</subfield><subfield code="b">Springer New York</subfield><subfield code="c">1972</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (IX, 369 p)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Applied Mathematical Sciences</subfield><subfield code="v">8</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">This volume is intended to provide a comprehensive treatment of recent developments in methods of perturbation for nonlinear systems of ordinary differential equations. In this respect, it appears to be a unique work. The main goal is to describe perturbation techniques, discuss their advantages and limitations and give some examples. The approach is founded on analytical and numerical methods of nonlinear mechanics. Attention has been given to the extension of methods to high orders of approximation, required now by the increased accuracy of measurements in all fields of science and technology. The main theorems relevant to each perturbation technique are outlined, but they only provide a foundation and are not the objective of these notes. Each chapter concludes with a detailed survey of the pertinent literature, supplemental information and more examples to complement the text, when necessary, for better comprehension. The references are intended to provide a guide for background information and for the reader who wishes to analyze any particular point in more detail. The main sources referenced are in the fields of differential equations, nonlinear oscillations and celestial mechanics. Thanks are due to Katherine MacDougall and Sandra Spinacci for their patience and competence in typing these notes. Partial support from the Mathematics Program of the Office of Naval Research is gratefully acknowledged</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics, general</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtlineares System</subfield><subfield code="0">(DE-588)4042110-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Störung</subfield><subfield code="0">(DE-588)4133232-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Störungstheorie</subfield><subfield code="0">(DE-588)4128420-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtlineare Mechanik</subfield><subfield code="0">(DE-588)4042095-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialgleichung</subfield><subfield code="0">(DE-588)4012249-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Differentialgleichung</subfield><subfield code="0">(DE-588)4012249-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Nichtlineares System</subfield><subfield code="0">(DE-588)4042110-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Störung</subfield><subfield code="0">(DE-588)4133232-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Störungstheorie</subfield><subfield code="0">(DE-588)4128420-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Nichtlineares System</subfield><subfield code="0">(DE-588)4042110-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Differentialgleichung</subfield><subfield code="0">(DE-588)4012249-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Störungstheorie</subfield><subfield code="0">(DE-588)4128420-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">3\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Nichtlineare Mechanik</subfield><subfield code="0">(DE-588)4042095-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2="1"><subfield code="a">Störungstheorie</subfield><subfield code="0">(DE-588)4128420-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="8">4\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Applied Mathematical Sciences</subfield><subfield code="v">8</subfield><subfield code="w">(DE-604)BV040244599</subfield><subfield code="9">8</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4612-6400-2</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027855900</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">3\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">4\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV042420483 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:07Z |
| institution | BVB |
| isbn | 9781461264002 9780387900544 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855900 |
| oclc_num | 863786206 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (IX, 369 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1972 |
| publishDateSearch | 1972 |
| publishDateSort | 1972 |
| publisher | Springer New York |
| record_format | marc |
| series | Applied Mathematical Sciences |
| series2 | Applied Mathematical Sciences |
| spelling | Giacaglia, Georgio Eugenio Oscare Verfasser aut Perturbation Methods in Non-Linear Systems by Georgio Eugenio Oscare Giacaglia New York, NY Springer New York 1972 1 Online-Ressource (IX, 369 p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 8 This volume is intended to provide a comprehensive treatment of recent developments in methods of perturbation for nonlinear systems of ordinary differential equations. In this respect, it appears to be a unique work. The main goal is to describe perturbation techniques, discuss their advantages and limitations and give some examples. The approach is founded on analytical and numerical methods of nonlinear mechanics. Attention has been given to the extension of methods to high orders of approximation, required now by the increased accuracy of measurements in all fields of science and technology. The main theorems relevant to each perturbation technique are outlined, but they only provide a foundation and are not the objective of these notes. Each chapter concludes with a detailed survey of the pertinent literature, supplemental information and more examples to complement the text, when necessary, for better comprehension. The references are intended to provide a guide for background information and for the reader who wishes to analyze any particular point in more detail. The main sources referenced are in the fields of differential equations, nonlinear oscillations and celestial mechanics. Thanks are due to Katherine MacDougall and Sandra Spinacci for their patience and competence in typing these notes. Partial support from the Mathematics Program of the Office of Naval Research is gratefully acknowledged Mathematics Mathematics, general Mathematik Nichtlineares System (DE-588)4042110-7 gnd rswk-swf Störung (DE-588)4133232-5 gnd rswk-swf Störungstheorie (DE-588)4128420-3 gnd rswk-swf Nichtlineare Mechanik (DE-588)4042095-4 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s Nichtlineares System (DE-588)4042110-7 s Störung (DE-588)4133232-5 s 1\p DE-604 Störungstheorie (DE-588)4128420-3 s 2\p DE-604 3\p DE-604 Nichtlineare Mechanik (DE-588)4042095-4 s 4\p DE-604 Applied Mathematical Sciences 8 (DE-604)BV040244599 8 https://doi.org/10.1007/978-1-4612-6400-2 Verlag Volltext 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Giacaglia, Georgio Eugenio Oscare Perturbation Methods in Non-Linear Systems Applied Mathematical Sciences Mathematics Mathematics, general Mathematik Nichtlineares System (DE-588)4042110-7 gnd Störung (DE-588)4133232-5 gnd Störungstheorie (DE-588)4128420-3 gnd Nichtlineare Mechanik (DE-588)4042095-4 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4042110-7 (DE-588)4133232-5 (DE-588)4128420-3 (DE-588)4042095-4 (DE-588)4012249-9 |
| title | Perturbation Methods in Non-Linear Systems |
| title_auth | Perturbation Methods in Non-Linear Systems |
| title_exact_search | Perturbation Methods in Non-Linear Systems |
| title_full | Perturbation Methods in Non-Linear Systems by Georgio Eugenio Oscare Giacaglia |
| title_fullStr | Perturbation Methods in Non-Linear Systems by Georgio Eugenio Oscare Giacaglia |
| title_full_unstemmed | Perturbation Methods in Non-Linear Systems by Georgio Eugenio Oscare Giacaglia |
| title_short | Perturbation Methods in Non-Linear Systems |
| title_sort | perturbation methods in non linear systems |
| topic | Mathematics Mathematics, general Mathematik Nichtlineares System (DE-588)4042110-7 gnd Störung (DE-588)4133232-5 gnd Störungstheorie (DE-588)4128420-3 gnd Nichtlineare Mechanik (DE-588)4042095-4 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Nichtlineares System Störung Störungstheorie Nichtlineare Mechanik Differentialgleichung |
| url | https://doi.org/10.1007/978-1-4612-6400-2 |
| volume_link | (DE-604)BV040244599 |
| work_keys_str_mv | AT giacagliageorgioeugeniooscare perturbationmethodsinnonlinearsystems |