Recurrences and discrete dynamic systems:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin, [u.a.]
Springer
1980
|
| Schriftenreihe: | Lecture notes in mathematics
809 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001510647&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | VI, 272 Seiten |
| ISBN: | 3540100172 0387100172 |
Internformat
MARC
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| 100 | 1 | |a Gumowski, Igor |d 1928-2019 |0 (DE-588)1077783469 |4 aut | |
| 245 | 1 | 0 | |a Recurrences and discrete dynamic systems |c Igor Gumowski ; Christian Mira |
| 264 | 1 | |a Berlin, [u.a.] |b Springer |c 1980 | |
| 300 | |a VI, 272 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 809 | |
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| 650 | 4 | |a Dynamique différentielle | |
| 650 | 7 | |a Dynamische systemen |2 gtt | |
| 650 | 4 | |a Modelos matemáticos | |
| 650 | 4 | |a Differentiable dynamical systems | |
| 650 | 4 | |a Point mappings (Mathematics) | |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 999-809 |
|---|---|
| DE-BY-TUM_katkey | 388749 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040020164585 |
| _version_ | 1821936989872586752 |
| adam_text | CONTENTS
P-
Introduction and statement of the problem 1
Chapter I - Some properties of first order recurrences
1.0 Introduction 23
1.1 Elementary properties of first order recurrences 29
1.2 Singularity structure of a quadratic recurrence 38
1.3 Relation to functional equations 46
1.4 Topological entropy and some statistical properties 57
Chapter II - Some properties of second order recurrences
2.0 Introduction 61
2.1 Elementary properties of linear recurrences 65
2.2 The effect of non linear perturbations 76
2.3 Influence domain of a stable point singularity 81
2.4 Approximate determination of an isolated closed invariant curve 91
2.5 Some relationships between recurrences, continuous iterates and
differential equations 96
Chapter III - Stochasticity in conservative recurrences
3.0 Introduction 104
3.1 Quadratic recurrence 106
3.1.1. General properties 106
3.1.2. Ordering of cycles 111
3.1.3. Properties of invariant curves 116
3.1.4. Critical and exceptional cases 122
3.1.5. Bifurcations 129
3.2 Cubic recurrence !37
3.3 Bounded quadratic recurrence 148
3.4 Exponential recurrence 159
3.5 Sinusoidal recurrence 169
3.6 Unsymmetric sinusoidal recurrence 173
3.7 Box-within-a-box structure in the phase plane 177
3.8 The method of sections 179
3.9 Non-vanishing Jacobian and uniqueness of antecedents 181
3.10 The variational entropy 182
VI
Chapter IV - Stochasticity in almost conservative recurrences
4.0 Introduction 184
4.1 Quadratic recurrence 107
4.2 Effect of non-unique antecedents 201
Chapter V - Stochasticity in strongly non-conservative recurrences
5.0 Introduction 212
5.1 Effect of strong damping on an initially conservative recurrence 212
5.2 An elementary composite attractor 216
5.3 Chaos in a predator-prey recurrence 223
5.4 Chaos in a non-conservative recurrence with unique antecedents 229
Chapter VI - Conclusion and some open problems 234
References. 260
Index. 267
|
| any_adam_object | 1 |
| author | Gumowski, Igor 1928-2019 Mira, Christian 1934- |
| author_GND | (DE-588)1077783469 (DE-588)1121150233 |
| author_facet | Gumowski, Igor 1928-2019 Mira, Christian 1934- |
| author_role | aut aut |
| author_sort | Gumowski, Igor 1928-2019 |
| author_variant | i g ig c m cm |
| building | Verbundindex |
| bvnumber | BV002298410 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 SK 520 |
| ctrlnum | (OCoLC)6555328 (DE-599)BVBBV002298410 |
| dewey-full | 514/.72 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology 510 - Mathematics |
| dewey-raw | 514/.72 510 |
| dewey-search | 514/.72 510 |
| dewey-sort | 3514 272 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002298410 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T07:49:06Z |
| institution | BVB |
| isbn | 3540100172 0387100172 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001510647 |
| oclc_num | 6555328 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-384 DE-473 DE-BY-UBG DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-83 DE-11 DE-188 |
| owner_facet | DE-12 DE-91G DE-BY-TUM DE-384 DE-473 DE-BY-UBG DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-83 DE-11 DE-188 |
| physical | VI, 272 Seiten |
| publishDate | 1980 |
| publishDateSearch | 1980 |
| publishDateSort | 1980 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spellingShingle | Gumowski, Igor 1928-2019 Mira, Christian 1934- Recurrences and discrete dynamic systems Lecture notes in mathematics Applications ponctuelles (Mathématiques) Differentiaalsystemen gtt Dynamique différentielle Dynamische systemen gtt Modelos matemáticos Differentiable dynamical systems Point mappings (Mathematics) Dynamisches System (DE-588)4013396-5 gnd Rekurrenz (DE-588)7585550-1 gnd Diskretes System (DE-588)4401225-1 gnd Rekursion (DE-588)4191814-9 gnd |
| subject_GND | (DE-588)4013396-5 (DE-588)7585550-1 (DE-588)4401225-1 (DE-588)4191814-9 |
| title | Recurrences and discrete dynamic systems |
| title_auth | Recurrences and discrete dynamic systems |
| title_exact_search | Recurrences and discrete dynamic systems |
| title_full | Recurrences and discrete dynamic systems Igor Gumowski ; Christian Mira |
| title_fullStr | Recurrences and discrete dynamic systems Igor Gumowski ; Christian Mira |
| title_full_unstemmed | Recurrences and discrete dynamic systems Igor Gumowski ; Christian Mira |
| title_short | Recurrences and discrete dynamic systems |
| title_sort | recurrences and discrete dynamic systems |
| topic | Applications ponctuelles (Mathématiques) Differentiaalsystemen gtt Dynamique différentielle Dynamische systemen gtt Modelos matemáticos Differentiable dynamical systems Point mappings (Mathematics) Dynamisches System (DE-588)4013396-5 gnd Rekurrenz (DE-588)7585550-1 gnd Diskretes System (DE-588)4401225-1 gnd Rekursion (DE-588)4191814-9 gnd |
| topic_facet | Applications ponctuelles (Mathématiques) Differentiaalsystemen Dynamique différentielle Dynamische systemen Modelos matemáticos Differentiable dynamical systems Point mappings (Mathematics) Dynamisches System Rekurrenz Diskretes System Rekursion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001510647&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT gumowskiigor recurrencesanddiscretedynamicsystems AT mirachristian recurrencesanddiscretedynamicsystems |
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 B 999-809 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |