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9783540568810: Nonlinear Dynamical Economics and Chaotic Motion

Sinopsis

Usually, the first edition of a book still contains a multiplicity of typographic, con- ceptional, and computational errors even if one believes the opposite at the time of publication. As this book did not represent a counterexample to this rule, the current second edition offers a chance to remove at least the known shortcomings. The book has been partly re-organized. The previously rather long Chapter 4 has been split into two separate chapters dealing with discrete-time and continuous- time approaches to nonlinear economic dynamics. The short summary of basic properties of linear dynamical systems has been banned to an appendix because the line of thought in the chapter seems to have been unnecessarily interrupted by these technical details and because the book concentrates on nonlinear systems. This appendix, which mainly deals with special formal properties of dynamical sys- tems, also contains some new material on invariant subspaces and center-manifold reductions. A brief introduction into the theory of lags and operators is followed by a few remarks on the relation between the 'true' properties of dynamical systems and their behavior observable in numerical experiments. Additional changes in the main part of the book include a re-consideration of Popper's determinism vs. inde- terminism discussion in the light of chaotic properties of deterministic, nonlinear systems in Chapter 1. An investigation of a simultaneous price-quantity adjustment process, a more detailed inquiry into the uniqueness property of limit cycles, and a short presentation of relaxation oscillations are included in Chapter 2.

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Reseña del editor

Usually, the first edition of a book still contains a multiplicity of typographic, con­ ceptional, and computational errors even if one believes the opposite at the time of publication. As this book did not represent a counterexample to this rule, the current second edition offers a chance to remove at least the known shortcomings. The book has been partly re-organized. The previously rather long Chapter 4 has been split into two separate chapters dealing with discrete-time and continuous­ time approaches to nonlinear economic dynamics. The short summary of basic properties of linear dynamical systems has been banned to an appendix because the line of thought in the chapter seems to have been unnecessarily interrupted by these technical details and because the book concentrates on nonlinear systems. This appendix, which mainly deals with special formal properties of dynamical sys­ tems, also contains some new material on invariant subspaces and center-manifold reductions. A brief introduction into the theory of lags and operators is followed by a few remarks on the relation between the 'true' properties of dynamical systems and their behavior observable in numerical experiments. Additional changes in the main part of the book include a re-consideration of Popper's determinism vs. inde­ terminism discussion in the light of chaotic properties of deterministic, nonlinear systems in Chapter 1. An investigation of a simultaneous price-quantity adjustment process, a more detailed inquiry into the uniqueness property of limit cycles, and a short presentation of relaxation oscillations are included in Chapter 2.

Reseña del editor

This survey of recent developments in nonlinear economic dynamics describes mathematical topics such as the existence of endogenous fluctuations in low-dimensional dynamical systems, structural instability and bifurcations in discrete-time and continuous time systems, chaotic behaviour in deterministic nonlinear systems, statistical properties of nonlinear time series, and discontinuous motion in the form of elementary catastrophies. The book attempts to familiarize the reader with the available mathematical material and its potential relevance for economic theory. All formal results are illustrated with economic examples from diverse fields including business-cycle theory, descriptive and optimal growth theory, international-trade theory, and microeconomic adjustment processes. The major changes made in this second edition include a reorganization of parts of the text, a deepening of several mathematical concepts, and descriptions of a larger number of economic applications. As in the first edition, special emphasis is put on the didactical presentation of the new material.

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9783642783265: Nonlinear Dynamical Economics and Chaotic Motion

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8° Gebunden. Condición: Sehr gut. Nonlinear dynamical economics and chaotic motion wirtschaftswissenschaftliche Buchausgabe in englischer Sprache mit Gesamt 320 Seiten einer Bibliografie und Index Guter Zustand Format 25cm x 17cm Zeitkontinuierliche Ansätze zur nichtlinearen Wirtschaftsdynamik. Die kurze Zusammenfassung der grundlegenden Eigenschaften linearer dynamischer Systeme sowie spezielle formale Eigenschaften dynamischer Systeme und neues Material zu Theorie der invarianten Unterräumen und Zentrums-Mannigfaltigkeits-Reduktionen. Nach einer kurzen Einführung in die Theorie der Lags und Operatoren folgen einige Bemerkungen zum Zusammenhang zwischen den wahren Eigenschaften dynamischer Systeme und ihrem in numerischen Experimenten beobachtbaren Verhalten. Dazu eine erneute Betrachtung der Popperschen Diskussion zwischen Determinismus und Indeterminismus im Lichte chaotischer Eigenschaften deterministischer, nichtlinearer Systeme. Sowie eine Untersuchung eines simultanen Preis-Mengen-Anpassungsprozesses, ein mehr eine detaillierte Untersuchung der Eindeutigkeitseigenschaft von Grenzzyklen und eine kurze Darstellung von Relaxationsschwingungen sind Inhalt des Buches 320 Deutsch 1000g. Nº de ref. del artículo: 3285

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SEcond, Revised and Enlarged Edition. Berlin, Springer 1993. XV, 319 S., OPappband Oberer Schnitt etwas gebräunt, sonst sehr gut. Nº de ref. del artículo: 126629

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Gebundene Ausgabe. Condición: Sehr gut. 320 Seiten nice ex library book Sprache: Englisch Gewicht in Gramm: 550 Auflage: 2nd, rev. and enlarged ed. 1993. 3rd printing. Nº de ref. del artículo: 342436

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Hardcover. Condición: New. 2nd Edition. Springer-Verlag, 1993. 2nd Edition. XV+319 pages. New Hardcover. 9.75"x6.6"x1.0". be48. Nº de ref. del artículo: ABE-1708296042569

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