Introduction to non-linear systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Arnold
1996
|
| Edition: | 1. publ. in Great Britain |
| Series: | Modular mathematics series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 212 S. graph. Darst. |
| ISBN: | 0340677007 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804127318198714368 |
|---|---|
| adam_text | MODULAR MATHEMATICS SERIES INTRODUCTION TO NON-LINEAR SYSTEMS J BERRY
CENTRE FOR TEACHING MATHEMATICS UNIVERSITY OF PLYMOUTH A MEMBER OF THE
HODDER HEADLINE GROUP LONDON*SYDNEY*AUCKLAND CONTENTS SERIES PREFACE VII
PREFACE VIII ACKNOWLEDGEMENTS XII 1 REVIEW OF BASIC IDEAS 1 1.1 FIRST
ORDER DIFFERENTIAL EQUATIONS: GEOMETRICAL METHODS 1 1.2 FIRST ORDER
DIFFERENTIAL EQUATIONS: ANALYTICAL METHODS 5 1.3 SECOND ORDER
DIFFERENTIAL EQUATIONS 9 1.4 TAYLOR POLYNOMIALS 11 1.5 ALGEBRA OF
MATRICES 14 1.6 ITERATION AND COBWEB DIAGRAMS 17 2 FIRST ORDER
CONTINUOUS AUTONOMOUS SYSTEMS 21 2.1 SOME TERMINOLOGY 21 2.2
CLASSIFICATION OF THE FIXED POINTS OF AUTONOMOUS SYSTEMS 27 2.3
ATTRACTORS AND REPELLORS 31 2.4 NATURAL BOUNDARIES 36 2.5 CASE STUDY:
POPULATION GROWTH 39 FURTHER EXERCISES 45 3 SECOND ORDER CONTINUOUS
AUTONOMOUS SYSTEMS 49 3.1 AUTONOMOUS SECOND ORDER SYSTEMS 49 3.2
CONSTANT COEFFICIENT EQUATIONS F 3 3.3 PHASE CURVES AND FIXED POINTS 55
3.4 CLASSIFICATION OF FIXED POINTS OF LINEAR SYSTEMS 67 3.5 ANALYSING
NON-LINEAR SYSTEMS 81 3.6 CASE STUDIES: 94 LEAD ABSORPTION IN THE BODY
94 INTERACTING SPECIES 97 FURTHER EXERCISES 103 4 DISCRETE SYSTEMS 109
4.1 EXAMPLES OF DISCRETE SYSTEMS 109 4.2 SOME TERMINOLOGY 114 4.3 LINEAR
DISCRETE SYSTEMS 122 4.4 NON-LINEAR DISCRETE SYSTEMS 124 4.5 QUADRATIC
MAPS 135 FURTHER EXERCISES 151 5 PROJECTS 155 VI CONTENTS APPENDIX A:
DERIVE CODE FOR ACTIVITIES IN CHAPTER 4 159 SOLUTIONS TO THE TUTORIAL
PROBLEMS 161 ANSWERS TO THE EXERCISES 185 BIBLIOGRAPHY 209 INDEX 211
|
| any_adam_object | 1 |
| author | Berry, John |
| author_facet | Berry, John |
| author_role | aut |
| author_sort | Berry, John |
| author_variant | j b jb |
| building | Verbundindex |
| bvnumber | BV012660126 |
| classification_rvk | SK 520 |
| ctrlnum | (OCoLC)36496118 (DE-599)BVBBV012660126 |
| dewey-full | 515.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.35 |
| dewey-search | 515.35 |
| dewey-sort | 3515.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. in Great Britain |
| format | Book |
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| id | DE-604.BV012660126 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:31:26Z |
| institution | BVB |
| isbn | 0340677007 |
| language | English |
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| owner | DE-703 |
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| physical | XI, 212 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Arnold |
| record_format | marc |
| series2 | Modular mathematics series |
| spelling | Berry, John Verfasser aut Introduction to non-linear systems J. Berry 1. publ. in Great Britain London [u.a.] Arnold 1996 XI, 212 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Modular mathematics series Nonlinear theories Nichtlineares dynamisches System (DE-588)4126142-2 gnd rswk-swf Nichtlineares System (DE-588)4042110-7 gnd rswk-swf Nichtlineares System (DE-588)4042110-7 s DE-604 Nichtlineares dynamisches System (DE-588)4126142-2 s GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008602040&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Berry, John Introduction to non-linear systems Nonlinear theories Nichtlineares dynamisches System (DE-588)4126142-2 gnd Nichtlineares System (DE-588)4042110-7 gnd |
| subject_GND | (DE-588)4126142-2 (DE-588)4042110-7 |
| title | Introduction to non-linear systems |
| title_auth | Introduction to non-linear systems |
| title_exact_search | Introduction to non-linear systems |
| title_full | Introduction to non-linear systems J. Berry |
| title_fullStr | Introduction to non-linear systems J. Berry |
| title_full_unstemmed | Introduction to non-linear systems J. Berry |
| title_short | Introduction to non-linear systems |
| title_sort | introduction to non linear systems |
| topic | Nonlinear theories Nichtlineares dynamisches System (DE-588)4126142-2 gnd Nichtlineares System (DE-588)4042110-7 gnd |
| topic_facet | Nonlinear theories Nichtlineares dynamisches System Nichtlineares System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008602040&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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