Nonlinear Endogenous Model of Business Cycle

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18450%2F15%3A50003796" target="_blank" >RIV/62690094:18450/15:50003796 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Nonlinear Endogenous Model of Business Cycle

Original language description

This paper deals with a nonlinear dynamic model of a closed economic unit that exhibits a cyclical development. The assumptions of the model are based on the continuous multiplier-accelerator model of A. W. Phillips. Then a nonlinear investment functionis introduced. It is assumed that this function depends on GDP output level and the rate of output change. The model is formulated as a nonlinear ordinary differential equation of the second order. Both the local and the global analysis of the equation is then introduced. Finally it is shown that there exists Poincar'{e}-Andronov-Hopf bifurcation. It means that there can be observed a cyclical development of the given economic unit.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

BB - Applied statistics, operational research

OECD FORD branch

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Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2015

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

Mathematical methods in economics (MME 2015)

ISBN

978-80-261-0539-8

ISSN

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e-ISSN

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Number of pages

6

Pages from-to

677-682

Publisher name

Západočeská univerzita

Place of publication

Plzeň

Event location

Cheb

Event date

Sep 9, 2015

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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