Bifurcation theory: an introduction with applications to PDEs
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
2004
|
| Series: | Applied mathematical sciences
156 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII, 346 S. graph. Darst. |
| ISBN: | 0387404015 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV017629805 | ||
| 003 | DE-604 | ||
| 005 | 20211207 | ||
| 007 | t | ||
| 008 | 031106s2004 d||| |||| 00||| eng d | ||
| 016 | 7 | |a 967883776 |2 DE-101 | |
| 020 | |a 0387404015 |9 0-387-40401-5 | ||
| 035 | |a (OCoLC)249166904 | ||
| 035 | |a (DE-599)BVBBV017629805 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-20 |a DE-703 |a DE-384 |a DE-355 |a DE-634 |a DE-83 |a DE-11 |a DE-19 |a DE-188 | ||
| 050 | 0 | |a QA1 | |
| 050 | 0 | |a QA380 | |
| 082 | 0 | |a 515.35 | |
| 082 | 0 | |a 510 | |
| 084 | |a SK 540 |0 (DE-625)143245: |2 rvk | ||
| 100 | 1 | |a Kielhöfer, Hansjörg |d 1945- |e Verfasser |0 (DE-588)108216675 |4 aut | |
| 245 | 1 | 0 | |a Bifurcation theory |b an introduction with applications to PDEs |c Hansjörg Kielhöfer |
| 264 | 1 | |a New York [u.a.] |b Springer |c 2004 | |
| 300 | |a VII, 346 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Applied mathematical sciences |v 156 | |
| 650 | 4 | |a Partielle Differentialgleichung - Verzweigung <Mathematik> | |
| 650 | 4 | |a Bifurcation theory | |
| 650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Verzweigung |g Mathematik |0 (DE-588)4078889-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Verzweigung |g Mathematik |0 (DE-588)4078889-1 |D s |
| 689 | 0 | 1 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Applied mathematical sciences |v 156 |w (DE-604)BV000005274 |9 156 | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010604847&sequence=000004&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-010604847 | ||
Record in the Search Index
| _version_ | 1804130381844185088 |
|---|---|
| adam_text | Contents
0
1 Local Theory
1.1 The Implicit Function Theorem
1.2
1.3
for Potential Operators
1.4
One-Dimensional Kernels: Turning Points
1.5
1.6
1.7
(Stationary Case)
1.8 Hopf
1.9
1.
1.11
Reversible, and Conservative Systems
1.
and Hamiltonian
1.11.2
1.11.3
1.11.4
1.12
for
1.13
and Their Stability
1.13.1
1.
and Exchange of Stability
VI
1.14.1
for a Period-Doubling Bifurcation
1.
1.16
and Stability of Bifurcating Solutions
1.16.1
for Degenerate Bifurcation
1.17
Exponents of Bifurcating Periodic Orbits
1.17.1
for Degenerate
1.18
for Stationary and Periodic Solutions
1.18.1
for Periodic Solutions
1.19
Multiparameter Bifurcation, and
Application of the Principle of Reduced Stability
1.19.1
with a High-Dimensional Kernel
1.20
1.21
for Potential Operators: Variational Methods
1.22
II Global Theory
II.
11.
11.
11.4 Odd Crossing Numbers
II.
11.
Operators and Global Bifurcation Theorems
11.
11.
11.
11.
for Potential Operators
II.
11.
III Applications
III.l The
111.1.1 Elliptic Operators on a Lattice
111.1.
Contents
Ш.2
111.2.1 Bifurcation with a One-Dimensional Kernel
111.
111.2.3 Variational Methods 1
111.2.4 Variational Methods II
111.2.5 An Example
111.3 Free Nonlinear Vibrations
111.3.1
111.
111.
111.5 Global Bifurcation and Continuation
for Elliptic Problems
111.5.1
111.5.2 Global Continuation
111.
on Global Branches
111.
111.6.2 Global Branches of Positive Solutions
HI.
111.6.4 Separation of Branches
111.6.5 An Example (Continued)
111.6.6 Global Branches of Positive Solutions
via Continuation
111.
Global Positive Solution Branches
HI.
HI.
over Symmetric Domains
111.
over Symmetric Domains and Uniqueness
IH.7.4 Asymptotic Behavior at
HI.
111.8 Notes and Remarks to Chapter III
References
Index
|
| any_adam_object | 1 |
| author | Kielhöfer, Hansjörg 1945- |
| author_GND | (DE-588)108216675 |
| author_facet | Kielhöfer, Hansjörg 1945- |
| author_role | aut |
| author_sort | Kielhöfer, Hansjörg 1945- |
| author_variant | h k hk |
| building | Verbundindex |
| bvnumber | BV017629805 |
| callnumber-first | Q - Science |
| callnumber-label | QA1 |
| callnumber-raw | QA1 QA380 |
| callnumber-search | QA1 QA380 |
| callnumber-sort | QA 11 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 540 |
| ctrlnum | (OCoLC)249166904 (DE-599)BVBBV017629805 |
| dewey-full | 515.35 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis 510 - Mathematics |
| dewey-raw | 515.35 510 |
| dewey-search | 515.35 510 |
| dewey-sort | 3515.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01800nam a2200445 cb4500</leader><controlfield tag="001">BV017629805</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20211207 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">031106s2004 d||| |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">967883776</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387404015</subfield><subfield code="9">0-387-40401-5</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)249166904</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV017629805</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-20</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA1</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA380</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.35</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 540</subfield><subfield code="0">(DE-625)143245:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kielhöfer, Hansjörg</subfield><subfield code="d">1945-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)108216675</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Bifurcation theory</subfield><subfield code="b">an introduction with applications to PDEs</subfield><subfield code="c">Hansjörg Kielhöfer</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2004</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VII, 346 S.</subfield><subfield code="b">graph. Darst.</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">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Applied mathematical sciences</subfield><subfield code="v">156</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Partielle Differentialgleichung - Verzweigung <Mathematik></subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Bifurcation theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Verzweigung</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4078889-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Verzweigung</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4078889-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Applied mathematical sciences</subfield><subfield code="v">156</subfield><subfield code="w">(DE-604)BV000005274</subfield><subfield code="9">156</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010604847&sequence=000004&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-010604847</subfield></datafield></record></collection> |
| id | DE-604.BV017629805 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:20:07Z |
| institution | BVB |
| isbn | 0387404015 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010604847 |
| oclc_num | 249166904 |
| open_access_boolean | |
| owner | DE-20 DE-703 DE-384 DE-355 DE-BY-UBR DE-634 DE-83 DE-11 DE-19 DE-BY-UBM DE-188 |
| owner_facet | DE-20 DE-703 DE-384 DE-355 DE-BY-UBR DE-634 DE-83 DE-11 DE-19 DE-BY-UBM DE-188 |
| physical | VII, 346 S. graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Springer |
| record_format | marc |
| series | Applied mathematical sciences |
| series2 | Applied mathematical sciences |
| spelling | Kielhöfer, Hansjörg 1945- Verfasser (DE-588)108216675 aut Bifurcation theory an introduction with applications to PDEs Hansjörg Kielhöfer New York [u.a.] Springer 2004 VII, 346 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Applied mathematical sciences 156 Partielle Differentialgleichung - Verzweigung <Mathematik> Bifurcation theory Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Verzweigung Mathematik (DE-588)4078889-1 gnd rswk-swf Verzweigung Mathematik (DE-588)4078889-1 s Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 Applied mathematical sciences 156 (DE-604)BV000005274 156 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010604847&sequence=000004&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kielhöfer, Hansjörg 1945- Bifurcation theory an introduction with applications to PDEs Applied mathematical sciences Partielle Differentialgleichung - Verzweigung <Mathematik> Bifurcation theory Partielle Differentialgleichung (DE-588)4044779-0 gnd Verzweigung Mathematik (DE-588)4078889-1 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4078889-1 |
| title | Bifurcation theory an introduction with applications to PDEs |
| title_auth | Bifurcation theory an introduction with applications to PDEs |
| title_exact_search | Bifurcation theory an introduction with applications to PDEs |
| title_full | Bifurcation theory an introduction with applications to PDEs Hansjörg Kielhöfer |
| title_fullStr | Bifurcation theory an introduction with applications to PDEs Hansjörg Kielhöfer |
| title_full_unstemmed | Bifurcation theory an introduction with applications to PDEs Hansjörg Kielhöfer |
| title_short | Bifurcation theory |
| title_sort | bifurcation theory an introduction with applications to pdes |
| title_sub | an introduction with applications to PDEs |
| topic | Partielle Differentialgleichung - Verzweigung <Mathematik> Bifurcation theory Partielle Differentialgleichung (DE-588)4044779-0 gnd Verzweigung Mathematik (DE-588)4078889-1 gnd |
| topic_facet | Partielle Differentialgleichung - Verzweigung <Mathematik> Bifurcation theory Partielle Differentialgleichung Verzweigung Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010604847&sequence=000004&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000005274 |
| work_keys_str_mv | AT kielhoferhansjorg bifurcationtheoryanintroductionwithapplicationstopdes |