Discrete dynamical systems, bifurcations and chaos in economics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam [u.a.]
Elsevier
2006
|
| Ausgabe: | 1. ed. |
| Schriftenreihe: | Mathematics in science and engineering
204 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | IX, 448 S. graph. Darst. |
| ISBN: | 0444521976 9780444521972 |
Internformat
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Datensatz im Suchindex
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| adam_text | DISCRETE DYNAMICAL SYSTEMS, BIFURCATIONS AND CHAOS IN ECONOMICS WEI-BIN
ZHANG COLLEGE OF ASIA PASIFIC MANAGEMENT RITSUMEIKAN ASIA PASIFIC
UNIVERSITY BEPPU-SHI, OITA-KEN JAPAN ELSEVIER AMSTERDAM -
BOSTON*-HEIDELBERG - LONDON - NEW YORK - OXFORD PARIS - SAN.DIEGP * SAN
FRANCISCO - SINGAPORE * SYDNEY * TOKYO CONTENTS PREFACE V CONTENTS VII 1
DIFFERENCE EQUATIONS IN ECONOMICS 1 1.1 DIFFERENCE EQUATIONS AND
ECONOMIC ANALYSIS 2 1.2 OVERVIEW :.. 7 2 SCALAR LINEAR DIFFERENCE
EQUATIONS 13 2.1 LINEAR FIRST-ORDER DIFFERENCE EQUATIONS 15 2.2 SOME
CONCEPTS 21 2.3 STABILITIES 27 2.4 STABILITIES OF NONHYPERBOLIC
EQUILIBRIUM POINTS 42 2.5 ON DISSIPATIVE MAPS 49 2.6 LINEAR DIFFERENCE
EQUATIONS OF HIGHER ORDER 54 2.7 EQUATIONS WITH CONSTANT COEFFICIENTS 60
2.8 LIMITING BEHAVIOR 67 3 ONE-DIMENSIONAL DYNAMICAL ECONOMIC SYSTEMS 79
3.1 A MODEL OF INFLATION AND UNEMPLOYMENT 80 3.2 THE ONE-SECTOR GROWTH
(OSG MODEL) 83 3.3 THE GENERAL OSG MODEL 88 3.4 THE
OVERLAPPING-GENERATIONS (OLG) MODEL 93 3.5 PERSISTENCE OF INEQUALITY AND
DEVELOPMENT 97 3.6 GROWTH WITH CREATIVE DESTRUCTION 100 3.7 ECONOMIC
EVOLUTION WITH HUMAN CAPITAL 106 3.8 URBANIZATION WITH HUMAN CAPITAL
EXTERNALITIES 112 3.9 THE OSG MODEL WITH MONEY 118 3.10 THE OSG MODEL
WITH LABOR SUPPLY 126 VN VIII . CONTENTS 4 TIME-DEPENDENT SOLUTIONS OF
SCALAR SYSTEMS 135 4.1 PERIODIC ORBITS 135 4.2 PERIOD-DOUBLING
BIFURCATIONS 148 4.3 APERIODIC ORBITS 155 4.4 SOME TYPES OF BIFURCATIONS
163 4.5 LIAPUNOV NUMBERS 170 4.6 CHAOS 177 5 ECONOMIC BIFURCATIONS AND
CHAOS 185 5.1 BUSINESS CYCLES WITH KNOWLEDGE SPILLOVERS 186 5.2 A COBWEB
MODEL WITH ADAPTIVE ADJUSTMENT 193 5.3 INVENTORY MODEL WITH RATIONAL
EXPECTATIONS 195 5.4 ECONOMIC GROWTH WITH POLLUTION 202 5.5 THE SOLOW
AND SCHUMPETER GROWTH OSCILLATIONS 205 5.6 MONEY, GROWTH AND
FLUCTUATIONS 213 5.7 POPULATION AND ECONOMIC GROWTH 219 6 HIGHER
DIMENSIONAL DIFFERENCE EQUATIONS 227 6.1 PHASE SPACE ANALYSIS OF PLANAR
LINEAR SYSTEMS 228 6.2 AUTONOMOUS LINEAR DIFFERENCE EQUATIONS 240 6.3
NONAUTONOMOUS LINEAR DIFFERENCE EQUATIONS 248 6.4 STABILITIES 261 6.5
LIAPUNOV S DIRECT METHOD 270 6.6 LINEARIZATION OF DIFFERENCE EQUATIONS
276 6.7 CONJUGACY AND CENTER MANIFOLDS 281 6.8 THE HENON MAP AND
BIFURCATIONS 289 6.9 THE NEIMARK-SACKER (HOPF) BIFURCATIONS 296 6.10 THE
LIAPUNOV NUMBERS AND CHAOS 301 7 HIGHER DIMENSIONAL ECONOMIC DYNAMICS
305 7.1 AN EXCHANGE RATE MODEL 306 7.2 A TWO-SECTOR OLG MODEL 310 7.3
GROWTH WITH GOVERNMENT SPENDING 315 7.4 GROWTH WITH FERTILITY AND OLD
AGE SUPPORT 320 7.5 GROWTH WITH DIFFERENT TYPES OF ECONOMIES 327 7.6
UNEMPLOYMENT, INFLATION AND CHAOS 331 7.7 BUSINESS CYCLES WITH MONEY AND
CAPITAL 335 7.8 THE OSG MODEL WITH HETEROGENEOUS HOUSEHOLDS 341 7.9
PATH-DEPENDENT EVOLUTION WITH EDUCATION 358 APPENDIX 374 A.7.1 PROVING
PROPOSITION 7.81 374 A.7.2 PROVING PROPOSITION 7.9.1 379 CONTENTS IX 8
EPILOGUE 385 APPENDIX 391 A.1 MATRIX THEORY 391 A.2 SYSTEMS OF LINEAR
EQUATIONS 397 A.3 METRIC SPACES 398 A.4 THE IMPLICIT FUNCTION THEOREM
401 A.5 THE TAYLOR EXPANSION AND LINEARIZATION 408 A.6 CONCAVE AND
QUASICONCAVE FUNCTIONS 410 A.7 UNCONSTRAINED MAXIMIZATION 415 A.8
CONSTRAINED MAXIMIZATION 418 A.9 DYNAMICAL OPTIMIZATION 422 BIBLIOGRAPHY
427 INDEX 439
|
| any_adam_object | 1 |
| author | Zhang, Wei-Bin |
| author_facet | Zhang, Wei-Bin |
| author_role | aut |
| author_sort | Zhang, Wei-Bin |
| author_variant | w b z wbz |
| building | Verbundindex |
| bvnumber | BV025494682 |
| classification_rvk | SK 970 |
| ctrlnum | (OCoLC)255176720 (DE-599)BVBBV025494682 |
| dewey-full | 330.01515625 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 330 - Economics |
| dewey-raw | 330.01515625 |
| dewey-search | 330.01515625 |
| dewey-sort | 3330.01515625 |
| dewey-tens | 330 - Economics |
| discipline | Mathematik Wirtschaftswissenschaften |
| edition | 1. ed. |
| format | Book |
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| id | DE-604.BV025494682 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:35:19Z |
| institution | BVB |
| isbn | 0444521976 9780444521972 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020106931 |
| oclc_num | 255176720 |
| open_access_boolean | |
| owner | DE-11 |
| owner_facet | DE-11 |
| physical | IX, 448 S. graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Elsevier |
| record_format | marc |
| series | Mathematics in science and engineering |
| series2 | Mathematics in science and engineering |
| spelling | Zhang, Wei-Bin Verfasser aut Discrete dynamical systems, bifurcations and chaos in economics Wei-Bin Zhang 1. ed. Amsterdam [u.a.] Elsevier 2006 IX, 448 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematics in science and engineering 204 Includes bibliographical references and index Chaostheorie (DE-588)4009754-7 gnd rswk-swf Nichtlineares dynamisches System (DE-588)4126142-2 gnd rswk-swf Differenzengleichung (DE-588)4012264-5 gnd rswk-swf Wirtschaftsmathematik (DE-588)4066472-7 gnd rswk-swf Chaostheorie (DE-588)4009754-7 s Wirtschaftsmathematik (DE-588)4066472-7 s DE-604 Differenzengleichung (DE-588)4012264-5 s Nichtlineares dynamisches System (DE-588)4126142-2 s Mathematics in science and engineering 204 (DE-604)BV000001196 204 http://www.gbv.de/dms/goettingen/50335600X.pdf lizenzfrei Inhaltsverzeichnis GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020106931&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zhang, Wei-Bin Discrete dynamical systems, bifurcations and chaos in economics Mathematics in science and engineering Chaostheorie (DE-588)4009754-7 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd Differenzengleichung (DE-588)4012264-5 gnd Wirtschaftsmathematik (DE-588)4066472-7 gnd |
| subject_GND | (DE-588)4009754-7 (DE-588)4126142-2 (DE-588)4012264-5 (DE-588)4066472-7 |
| title | Discrete dynamical systems, bifurcations and chaos in economics |
| title_auth | Discrete dynamical systems, bifurcations and chaos in economics |
| title_exact_search | Discrete dynamical systems, bifurcations and chaos in economics |
| title_full | Discrete dynamical systems, bifurcations and chaos in economics Wei-Bin Zhang |
| title_fullStr | Discrete dynamical systems, bifurcations and chaos in economics Wei-Bin Zhang |
| title_full_unstemmed | Discrete dynamical systems, bifurcations and chaos in economics Wei-Bin Zhang |
| title_short | Discrete dynamical systems, bifurcations and chaos in economics |
| title_sort | discrete dynamical systems bifurcations and chaos in economics |
| topic | Chaostheorie (DE-588)4009754-7 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd Differenzengleichung (DE-588)4012264-5 gnd Wirtschaftsmathematik (DE-588)4066472-7 gnd |
| topic_facet | Chaostheorie Nichtlineares dynamisches System Differenzengleichung Wirtschaftsmathematik |
| url | http://www.gbv.de/dms/goettingen/50335600X.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020106931&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001196 |
| work_keys_str_mv | AT zhangweibin discretedynamicalsystemsbifurcationsandchaosineconomics |
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