Relaxation oscillations in mathematical models of ecology:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Weitere Verfasser: | |
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence ; Rhode Island
American Math. Society
1995
|
| Schriftenreihe: | Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics
199 = 1995,1 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus dem Russichen übersetzt |
| Beschreibung: | ix, 126 Seiten Illustrationen |
| ISBN: | 0821804103 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804124703620595712 |
|---|---|
| adam_text | CONTENTS
Preface jx
Introduction 1
CHAPTER 1. Relaxation cycles of asymptotically large amplitude 3
1. Some facts from mathematical ecology 3
2. Properties of a relaxation cycle of the Hutchinson equation 15
3. Relaxation oscillations in a biolocal model of the Hutchinson equation
with diffusion 20
4. The phenomenon of self organization in a single species biocenosis.... 23
5. The dynamics of the interaction of a predator with a strongly fertile
prey 31
6. The relaxation cycle of a mathematical model of the Belousov reaction 54
CHAPTER 2. Relaxation cycles of finite amplitude in a mathematical model
of the dynamics of insect populations 63
7. A description of the mathematical model, and an existence theorem for
relaxation cycles 63
8. Asymptotics of the simplest relaxation cycle 71
9. An investigation of stability for the simplest relaxation cycle 86
10. The existence of strongly unstable relaxation cycles 93
CHAPTER 3. Relaxation cycles of finite amplitude in a mathematical model
of the simplest controllable biocenosis 97
11. Statement of the problem and two existence theorems for relaxation
cycles 97
12. Asymptotics of relaxation oscillations 103
13. Stability properties of relaxation cycles 107
14. Relaxation cycles of finite amplitude for a certain class of scalar
equations with delay 110
15. The simplest relay with delay, and relaxation cycles of finite amplitude
for a certain class of differential difference equations 117
Conclusion 121
Bibliography 123
v
|
| any_adam_object | 1 |
| author | Kolesov, Andrej Jurʹevič Kolesov, Jurij Serafimovič |
| author2 | Miščenko, Evgenij F. 1922- |
| author2_role | edt |
| author2_variant | e f m ef efm |
| author_GND | (DE-588)1067823042 (DE-588)1067823034 (DE-588)129584665 |
| author_facet | Kolesov, Andrej Jurʹevič Kolesov, Jurij Serafimovič Miščenko, Evgenij F. 1922- |
| author_role | aut aut |
| author_sort | Kolesov, Andrej Jurʹevič |
| author_variant | a j k aj ajk j s k js jsk |
| building | Verbundindex |
| bvnumber | BV010287143 |
| classification_rvk | SI 700 SK 980 |
| ctrlnum | (OCoLC)260221520 (DE-599)BVBBV010287143 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010287143 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:49:53Z |
| institution | BVB |
| isbn | 0821804103 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006844000 |
| oclc_num | 260221520 |
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| physical | ix, 126 Seiten Illustrationen |
| publishDate | 1995 |
| publishDateSearch | 1995 |
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| publisher | American Math. Society |
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| series | Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics |
| series2 | Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics |
| spelling | Kolesov, Andrej Jurʹevič (DE-588)1067823042 aut Relaksacionnye kolebanija v matematičeskich modeljach ėkologii Relaxation oscillations in mathematical models of ecology by A. Yu. Kolesov and Yu. S. Kolesov ; Edited by E. F. Mishchenko Providence ; Rhode Island American Math. Society 1995 ix, 126 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics 199 = 1995,1 Aus dem Russichen übersetzt Ökologie (DE-588)4043207-5 gnd rswk-swf Ferroresonanzschwingung (DE-588)4138688-7 gnd rswk-swf Schwingung (DE-588)4053999-4 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Biologisches System (DE-588)4122930-7 gnd rswk-swf Biologisches System (DE-588)4122930-7 s Ferroresonanzschwingung (DE-588)4138688-7 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Ökologie (DE-588)4043207-5 s Schwingung (DE-588)4053999-4 s 1\p DE-604 Kolesov, Jurij Serafimovič (DE-588)1067823034 aut Miščenko, Evgenij F. 1922- (DE-588)129584665 edt Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics 199 = 1995,1 (DE-604)BV000009943 199 = 1995,1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006844000&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kolesov, Andrej Jurʹevič Kolesov, Jurij Serafimovič Relaxation oscillations in mathematical models of ecology Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics Ökologie (DE-588)4043207-5 gnd Ferroresonanzschwingung (DE-588)4138688-7 gnd Schwingung (DE-588)4053999-4 gnd Mathematisches Modell (DE-588)4114528-8 gnd Biologisches System (DE-588)4122930-7 gnd |
| subject_GND | (DE-588)4043207-5 (DE-588)4138688-7 (DE-588)4053999-4 (DE-588)4114528-8 (DE-588)4122930-7 |
| title | Relaxation oscillations in mathematical models of ecology |
| title_alt | Relaksacionnye kolebanija v matematičeskich modeljach ėkologii |
| title_auth | Relaxation oscillations in mathematical models of ecology |
| title_exact_search | Relaxation oscillations in mathematical models of ecology |
| title_full | Relaxation oscillations in mathematical models of ecology by A. Yu. Kolesov and Yu. S. Kolesov ; Edited by E. F. Mishchenko |
| title_fullStr | Relaxation oscillations in mathematical models of ecology by A. Yu. Kolesov and Yu. S. Kolesov ; Edited by E. F. Mishchenko |
| title_full_unstemmed | Relaxation oscillations in mathematical models of ecology by A. Yu. Kolesov and Yu. S. Kolesov ; Edited by E. F. Mishchenko |
| title_short | Relaxation oscillations in mathematical models of ecology |
| title_sort | relaxation oscillations in mathematical models of ecology |
| topic | Ökologie (DE-588)4043207-5 gnd Ferroresonanzschwingung (DE-588)4138688-7 gnd Schwingung (DE-588)4053999-4 gnd Mathematisches Modell (DE-588)4114528-8 gnd Biologisches System (DE-588)4122930-7 gnd |
| topic_facet | Ökologie Ferroresonanzschwingung Schwingung Mathematisches Modell Biologisches System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006844000&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000009943 |
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