Chaos and socio-spatial dynamics:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York u.a.
Springer
1990
|
| Edition: | 1. print. |
| Series: | Applied mathematical sciences
86 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVII, 184 S. graph. Darst. |
| ISBN: | 3540972838 0387972838 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804118293796093952 |
|---|---|
| adam_text | Contents
Preface vii
Acknowledgments ix
List of Figures xv
List of Tables xvii
Prologue 1
Part I. Socio Spatial Dynamics 4
A. Introduction 4
1. A Brief Look at the Literature 4
2. Some Simple Dynamic Models 9
3. The Location Dependent Elements of a Theory of
Socio Spatial Dynamics 11
B. The Four Lenses to View Socio Spatial Dynamics 11
1. The Absolute Relative Lens 11
2. Continuous Dynamics 14
3. Discrete Dynamics: The Universal Discrete Relative Dynamics Model 19
Conclusions 23
Part II. One Stock, Two Regions 24
Summary 24
A. The First Iterate and Associated Analytical Properties of the Model:
x(t + 1) = 1/1 + AF[_x(ty] 24
1. Overview 24
2. Fixed Point Behavior and the Discrete Map 25
3. Competitive Exclusion Equilibria 31
4. Classification of Fundamental Relative Spatial Dynamics 32
B. Log Linear Comparative Advantages Producing Functions:
F = x(tf[l x{t)f 34
1. Interpretation and Discussion of the Log Linear Model 34
2. Intervals of Stability of Equilibria 37
3. Analytical Properties of the Log Linear Model 38
4. Geometric Description of the Iterative Process 43
xi
xii Contents
C. Higher Iterates and Fundamental Bifurcations in
Discrete Dynamics 49
1. The Second Iterate and Two Period Cycles 49
2. Analytical Description of Two Period Cycles 54
3. Period Doubling and the Feigenbaum Slope Sequences 59
4. Domains of Nonexistence of fe Period Cycles (k 3) and
the Hopf Equivalent Bifurcation 63
D. The Exponential Locational Advantages Producing Function 68
Conclusions 70
Part III. One Stock, Multiple Locations 72
Summary 72
A. The General Model 73
1. Analytical Results 73
2. Ranking of Stocks According to Size 75
3. Trajectory Domains for the One Stock, Three Location Model 77
B. The Log Linear Comparative Advantages Model 80
1. Analytical Properties 80
2. Numerical Analysis for the One Stock, Multiple Location Model 83
C. Empirical Evidence 120
1. The Nine U.S. Regions and Their Aggregations 120
2. The Time Step and the Forces at Work 122
3. U.S. Regional Relative Population Instability 122
4. The Statistical Tests of Significance 125
D. Border Sequences in the One Stock, Multiple Location,
Log Linear Model 127
1. Some General Results 127
2. Areas of State Variable Movement in the One Stock,
Three Location, Log Linear Model 128
E. One Stock, Multiple Location, Discrete Time, Logistic Growth 130
1. Definition and Central Analytical Properties 130
2. The Jacobi Matrix 131
3. Equilibria 132
Conclusions 132
Part IV. Multiple Stocks, Multiple Locations 135
Summary 135
A. The General Model 135
1. Analytical Results 135
2. The Log Linear Specification 137
B. The Two Stock, Two Location Model 138
1. The General Case 138
2. The Log Linear Specifications 140
3. An Example 141
4. Numerical Results for the Two Stock, Two Location,
Log Linear Model 142
Contents xiii
C. The Two Stock,/ Location Case 144
1. The General Specifications 144
2. The Log Linear Specifications 149
D. The Two Stock, Multiple Location, Discrete Time,
Logistic Growth Model 151
1. Definitions and Analytical Properties 151
2. The Jacobi Block Matrix 153
3. Dynamic Structure of the Equilibria 154
Conclusions 155
Epilogue 157
1. Six Central Issues 157
2. Three Areas of Application 162
3. Further Research Suggestions 168
Appendix I
Second Order Determinants of the Three Location, One Stock Model 171
Appendix II
The Determinant of the Log Linear Model 173
References 175
Author Index 179
Subject Index 181
|
| any_adam_object | 1 |
| author | Dendrinos, Dimitrios S. 20./21. Jh Sonis, Michael |
| author_GND | (DE-588)170117197 |
| author_facet | Dendrinos, Dimitrios S. 20./21. Jh Sonis, Michael |
| author_role | aut aut |
| author_sort | Dendrinos, Dimitrios S. 20./21. Jh |
| author_variant | d s d ds dsd m s ms |
| building | Verbundindex |
| bvnumber | BV004063412 |
| callnumber-first | Q - Science |
| callnumber-label | QA1 HB1951 |
| callnumber-raw | QA1 HB1951.A647 vol. 86 |
| callnumber-search | QA1 HB1951.A647 vol. 86 |
| callnumber-sort | QA 11 _H B1951 A647 VOL 286 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | QU 400 SK 950 UG 3900 |
| classification_tum | BIO 010f PHY 066f MAT 587f MAT 344f |
| ctrlnum | (OCoLC)243436078 (DE-599)BVBBV004063412 |
| dewey-full | 304.620 304.6 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 304 - Factors affecting social behavior |
| dewey-raw | 304.6 20 304.6 |
| dewey-search | 304.6 20 304.6 |
| dewey-sort | 3304.6 220 |
| dewey-tens | 300 - Social sciences |
| discipline | Physik Biologie Soziologie Mathematik Wirtschaftswissenschaften |
| edition | 1. print. |
| format | Book |
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| id | DE-604.BV004063412 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:08:00Z |
| institution | BVB |
| isbn | 3540972838 0387972838 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002540934 |
| oclc_num | 243436078 |
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| owner | DE-12 DE-91G DE-BY-TUM DE-703 DE-473 DE-BY-UBG DE-739 DE-384 DE-521 DE-83 DE-11 DE-188 DE-634 |
| owner_facet | DE-12 DE-91G DE-BY-TUM DE-703 DE-473 DE-BY-UBG DE-739 DE-384 DE-521 DE-83 DE-11 DE-188 DE-634 |
| physical | XVII, 184 S. graph. Darst. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Springer |
| record_format | marc |
| series | Applied mathematical sciences |
| series2 | Applied mathematical sciences |
| spelling | Dendrinos, Dimitrios S. 20./21. Jh. Verfasser (DE-588)170117197 aut Chaos and socio-spatial dynamics Dimitrios S. Dendrinos ; Michael Sonis 1. print. New York u.a. Springer 1990 XVII, 184 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Applied mathematical sciences 86 Bevolkingsgeografie gtt Dynamische modellen gtt Géographie de la population - Modèles mathématiques Mathematisches Modell Population geography -- Mathematical models Chaostheorie (DE-588)4009754-7 gnd rswk-swf Bevölkerungsgeografie (DE-588)4006293-4 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Populationsdynamik (DE-588)4046803-3 gnd rswk-swf Dynamisches Modell (DE-588)4150932-8 gnd rswk-swf Bevölkerungsgeografie (DE-588)4006293-4 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Populationsdynamik (DE-588)4046803-3 s Chaostheorie (DE-588)4009754-7 s Dynamisches Modell (DE-588)4150932-8 s Sonis, Michael Verfasser aut Applied mathematical sciences 86 (DE-604)BV000005274 86 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002540934&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dendrinos, Dimitrios S. 20./21. Jh Sonis, Michael Chaos and socio-spatial dynamics Applied mathematical sciences Bevolkingsgeografie gtt Dynamische modellen gtt Géographie de la population - Modèles mathématiques Mathematisches Modell Population geography -- Mathematical models Chaostheorie (DE-588)4009754-7 gnd Bevölkerungsgeografie (DE-588)4006293-4 gnd Mathematisches Modell (DE-588)4114528-8 gnd Populationsdynamik (DE-588)4046803-3 gnd Dynamisches Modell (DE-588)4150932-8 gnd |
| subject_GND | (DE-588)4009754-7 (DE-588)4006293-4 (DE-588)4114528-8 (DE-588)4046803-3 (DE-588)4150932-8 |
| title | Chaos and socio-spatial dynamics |
| title_auth | Chaos and socio-spatial dynamics |
| title_exact_search | Chaos and socio-spatial dynamics |
| title_full | Chaos and socio-spatial dynamics Dimitrios S. Dendrinos ; Michael Sonis |
| title_fullStr | Chaos and socio-spatial dynamics Dimitrios S. Dendrinos ; Michael Sonis |
| title_full_unstemmed | Chaos and socio-spatial dynamics Dimitrios S. Dendrinos ; Michael Sonis |
| title_short | Chaos and socio-spatial dynamics |
| title_sort | chaos and socio spatial dynamics |
| topic | Bevolkingsgeografie gtt Dynamische modellen gtt Géographie de la population - Modèles mathématiques Mathematisches Modell Population geography -- Mathematical models Chaostheorie (DE-588)4009754-7 gnd Bevölkerungsgeografie (DE-588)4006293-4 gnd Mathematisches Modell (DE-588)4114528-8 gnd Populationsdynamik (DE-588)4046803-3 gnd Dynamisches Modell (DE-588)4150932-8 gnd |
| topic_facet | Bevolkingsgeografie Dynamische modellen Géographie de la population - Modèles mathématiques Mathematisches Modell Population geography -- Mathematical models Chaostheorie Bevölkerungsgeografie Populationsdynamik Dynamisches Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002540934&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000005274 |
| work_keys_str_mv | AT dendrinosdimitrioss chaosandsociospatialdynamics AT sonismichael chaosandsociospatialdynamics |