Multi-Hamiltonian theory of dynamical systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1998
|
| Schriftenreihe: | Texts and monographs in physics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 337 - 345 |
| Beschreibung: | X, 350 S. graph. Darst. |
| ISBN: | 354064251X |
Internformat
MARC
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| 245 | 1 | 0 | |a Multi-Hamiltonian theory of dynamical systems |c Maciej Błaszak |
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Datensatz im Suchindex
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|---|---|
| adam_text | MACIEJ BIASZAK MULTI-HAMILTONIAN THEORY OF DYNAMICAL SYSTEMS WITH 9
FIGURES SPRINGER CONTENTS 1. PRELIMINARY CONSIDERATIONS 1 2. ELEMENTS OF
DIFFERENTIAL CALCULUS FOR TENSOR FIELDS 13 2.1 TENSORS 13 2.2 TENSOR
FIELDS 16 2.3 TRANSFORMATION PROPERTIES OF TENSOR FIELDS 18 2.4
DIRECTIONAL DERIVATIVE OF TENSOR FIELDS 23 2.5 DIFFERENTIAL FC-FORMS 27
2.6 FLOWS AND LIE TRANSPORT 32 2.7 LIE DERIVATIVES 34 3. THE THEORY OF
HAMILTONIAN AND BI-HAMILTONIAN SYSTEMS . 41 3.1 LIE ALGEBRAS 42 3.2
HAMILTONIAN AND BI-HAMILTONIAN VECTOR FIELDS 49 3.3 SYMMETRIES AND
CONSERVED QUANTITIES OF DYNAMICAL SYSTEMS 52 3.4 TENSOR INVARIANTS OF
DYNAMICAL SYSTEMS 56 3.5 ALGEBRAIC PROPERTIES OF TENSOR INVARIANTS 63
3.6 THE MIURA TRANSFORMATION 83 4. LAX REPRESENTATIONS OF
MULTI-HAMILTONIAN SYSTEMS 87 4.1 LAX OPERATORS AND THEIR SPEBTRAL
DEFORMATIONS 88 4.2 LAX REPRESENTATIONS OF ISOSPECTRAL AND
NONISOSPECTRAL HIERARCHIES 91 4.3 THE LAX OPERATOR ALGEBRA 101 5.
SOLITON PARTICLES 107 5.1 GENERAL ASPECTS 107 5.2 ALGEBRAIC STRUCTURE OF
LINEAR SYSTEMS 109 5.3 ALGEBRAIC STRUCTURE OF MULTI-SOLITON
REPRESENTATION 117 5.4 MULTI-SOLITON PERTURBATION THEORY 130 6.
MULTI-HAMILTONIAN FINITE DIMENSIONAL SYSTEMS 135 6.1 STATIONARY FLOWS OF
INFINITE SYSTEMS. OSTROGRADSKY PARAMETRIZATIONS 137 X CONTENTS 6.2
STATIONARY FLOWS OF INFINITE SYSTEMS. NEWTON PARAMETRIZATION 151 6.3
CONSTRAINED FLOWS OF LAX EQUATIONS 166 6.4 RESTRICTED FLOWS OF INFINITE
SYSTEMS 177 6.5 SEPARABILITY OF BI-HAMILTONIAN CHAINS WITH DEGENERATE
POISSON STRUCTURES 184 6.6 NONSTANDARD MULTI-HAMILTONIAN STRUCTURES AND
THEIR FINITE DIMENSIONAL REDUCTIONS 220 6.7 BI-HAMILTONIAN CHAINS ON
POISSON-NIJENHUIS MANIFOLDS 241 7. MULTI-HAMILTONIAN LAX DYNAMICS IN
(L-FL)-DIMENSIONS ... 249 7.1 HAMILTONIAN DYNAMICS ON LIE ALGEBRAS 250
7.2 BASIC FACTS ABOUT ^-STRUCTURES 257 7.3 MULTI-HAMILTONIAN DYNAMICS OF
PSEUDO-DIFFERENTIAL LAX OPERATORS 264 7.4 MULTI-HAMILTONIAN DYNAMICS OF
SHIFT LAX OPERATORS 293 8. TOWARDS A MULTI-HAMILTONIAN THEORY OF
(2+L)-DIMENSIONAL FIELD SYSTEMS 313 8.1 THE SATO THEORY 313 8.2
MULTI-HAMILTONIAN LAX DYNAMICS FOR NONCOMMUTATIVE VARIABLES 325
REFERENCES 337 INDEX 347
|
| any_adam_object | 1 |
| author | Błaszak, Maciej 1963- |
| author_GND | (DE-588)120124998 |
| author_facet | Błaszak, Maciej 1963- |
| author_role | aut |
| author_sort | Błaszak, Maciej 1963- |
| author_variant | m b mb |
| building | Verbundindex |
| bvnumber | BV012006515 |
| callnumber-first | Q - Science |
| callnumber-label | QC20 |
| callnumber-raw | QC20.7.H35 |
| callnumber-search | QC20.7.H35 |
| callnumber-sort | QC 220.7 H35 |
| callnumber-subject | QC - Physics |
| classification_rvk | SK 810 SK 950 |
| ctrlnum | (OCoLC)40365397 (DE-599)BVBBV012006515 |
| dewey-full | 514.74 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.74 |
| dewey-search | 514.74 |
| dewey-sort | 3514.74 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV012006515 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:20:04Z |
| institution | BVB |
| isbn | 354064251X |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008125173 |
| oclc_num | 40365397 |
| open_access_boolean | |
| owner | DE-703 DE-634 DE-83 DE-11 DE-188 |
| owner_facet | DE-703 DE-634 DE-83 DE-11 DE-188 |
| physical | X, 350 S. graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Springer |
| record_format | marc |
| series2 | Texts and monographs in physics |
| spelling | Błaszak, Maciej 1963- Verfasser (DE-588)120124998 aut Multi-Hamiltonian theory of dynamical systems Maciej Błaszak Berlin [u.a.] Springer 1998 X, 350 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Texts and monographs in physics Literaturverz. S. 337 - 345 Mathematische Physik Differentiable dynamical systems Hamiltonian systems Mathematical physics Nonlinear theories Hamilton-Formalismus (DE-588)4376155-0 gnd rswk-swf Nichtlineares dynamisches System (DE-588)4126142-2 gnd rswk-swf Integrables System (DE-588)4114032-1 gnd rswk-swf Nichtlineares dynamisches System (DE-588)4126142-2 s Integrables System (DE-588)4114032-1 s Hamilton-Formalismus (DE-588)4376155-0 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008125173&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Błaszak, Maciej 1963- Multi-Hamiltonian theory of dynamical systems Mathematische Physik Differentiable dynamical systems Hamiltonian systems Mathematical physics Nonlinear theories Hamilton-Formalismus (DE-588)4376155-0 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd Integrables System (DE-588)4114032-1 gnd |
| subject_GND | (DE-588)4376155-0 (DE-588)4126142-2 (DE-588)4114032-1 |
| title | Multi-Hamiltonian theory of dynamical systems |
| title_auth | Multi-Hamiltonian theory of dynamical systems |
| title_exact_search | Multi-Hamiltonian theory of dynamical systems |
| title_full | Multi-Hamiltonian theory of dynamical systems Maciej Błaszak |
| title_fullStr | Multi-Hamiltonian theory of dynamical systems Maciej Błaszak |
| title_full_unstemmed | Multi-Hamiltonian theory of dynamical systems Maciej Błaszak |
| title_short | Multi-Hamiltonian theory of dynamical systems |
| title_sort | multi hamiltonian theory of dynamical systems |
| topic | Mathematische Physik Differentiable dynamical systems Hamiltonian systems Mathematical physics Nonlinear theories Hamilton-Formalismus (DE-588)4376155-0 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd Integrables System (DE-588)4114032-1 gnd |
| topic_facet | Mathematische Physik Differentiable dynamical systems Hamiltonian systems Mathematical physics Nonlinear theories Hamilton-Formalismus Nichtlineares dynamisches System Integrables System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008125173&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT błaszakmaciej multihamiltoniantheoryofdynamicalsystems |