Holdings: Discrete dynamical systems, bifurcations and chaos in economics

Discrete dynamical systems, bifurcations and chaos in economics:

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Bibliographic Details
Main Author:	Zhang, Wei-Bin (Author)
Format:	Book
Language:	English
Published:	Amsterdam [u.a.] Elsevier 2006
Edition:	1. ed.
Series:	Mathematics in science and engineering 204
Subjects:	Chaostheorie Nichtlineares dynamisches System Differenzengleichung Wirtschaftsmathematik
Online Access:	Inhaltsverzeichnis Inhaltsverzeichnis
Item Description:	Includes bibliographical references and index
Physical Description:	IX, 448 S. graph. Darst.
ISBN:	0444521976 9780444521972

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MARC


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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
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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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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
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owner	DE-11
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physical	IX, 448 S. graph. Darst.
publishDate	2006
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series	Mathematics in science and engineering
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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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