Hopf bifurcation in a dynamic IS-LM model with time delay
Author
Abstract
Suggested Citation
Download full text from publisher
References listed on IDEAS
- Liao, Xiaofeng & Li, Chuandong & Zhou, Shangbo, 2005. "Hopf bifurcation and chaos in macroeconomic models with policy lag," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 91-108.
- Garry J. Schinasi, 1981.
"A Nonlinear Dynamic Model of Short Run Fluctuations,"
The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(4), pages 649-656.
- Garry J. Schinasi, 1979. "A nonlinear dynamic model of short run fluctuations," Special Studies Papers 135, Board of Governors of the Federal Reserve System (U.S.).
- Torre, V, 1977. "Existence of Limit Cycles and Control in Complete Keynesian System by Theory of Bifurcations," Econometrica, Econometric Society, vol. 45(6), pages 1457-1466, September.
- Schinasi, Garry J., 1982. "Fluctuations in a dynamic, intermediate-run IS-LM model: Applications of the Poincare-Bendixon theorem," Journal of Economic Theory, Elsevier, vol. 28(2), pages 369-375, December.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Tamara Merkulova & Tatyana Bitkova & Kateryna Kononova, 2016. "Tax Factors of Sustainable Development: System Dynamics Approach towards Tax Evasion Analyses," RIVISTA DI STUDI SULLA SOSTENIBILITA', FrancoAngeli Editore, vol. 2016(1), pages 35-47.
- Sportelli, Mario & De Cesare, Luigi, 2019. "Fiscal policy delays and the classical growth cycle," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 9-31.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Neamţu, Mihaela & Opriş, Dumitru & Chilaˇrescu, Constantin, 2007. "Hopf bifurcation in a dynamic IS–LM model with time delay," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 519-530.
- De Cesare, Luigi & Sportelli, Mario, 2005. "A dynamic IS-LM model with delayed taxation revenues," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 233-244.
- Bazán Navarro, Ciro Eduardo & Benazic Tomé, Renato Mario, 2024. "Qualitative behavior in a fractional order IS-LM-AS macroeconomic model with stability analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 217(C), pages 425-443.
- Akio Matsumoto & Ferenc Szidarovszky, 2016. "Delay Dynamics in a Classical IS-LM Model with Tax Collections," Metroeconomica, Wiley Blackwell, vol. 67(4), pages 667-697, November.
- Murakami, Hiroki, 2014. "Keynesian systems with rigidity and flexibility of prices and inflation–deflation expectations," Structural Change and Economic Dynamics, Elsevier, vol. 30(C), pages 68-85.
- V. Ragupathy & K. Vela Velupillai, 2011. "Origins and Early Development of the Nonlinear Endogenous Mathematical Theory of the Business Cycle: Part I - The Setting," ASSRU Discussion Papers 1127, ASSRU - Algorithmic Social Science Research Unit.
- Giovanni Bella & Paolo Mattana & Beatrice Venturi, 2013. "Kaldorian assumptions and endogenous fluctuations: a note on Schinasi’s IS–LM model," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 60(1), pages 71-81, March.
- K. Vela Velupillai, 2004. "Hicksian Visions and Vignettes on (Non-Linear) Trade Cycle Theories," Department of Economics Working Papers 0407, Department of Economics, University of Trento, Italia.
- V. Ragupathy & Stefano Zambelli & K. Vela Velupillai, 2013. "A Non-linear Model of the Trade Cycle: Mathematical Reflections on Hugh Hudson's Classic," Australian Economic Papers, Wiley Blackwell, vol. 52(2), pages 115-125, June.
- Michele Boldrin, 1988. "Persistent Oscillations and Chaos in Dynamic Economic Models: Notes for a Survey," UCLA Economics Working Papers 458A, UCLA Department of Economics.
- Murakami Hiroki, 2017. "Time elements and oscillatory fluctuations in the Keynesian macroeconomic system," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 21(2), pages 1-22, April.
- William Barnett & Evgeniya Duzhak, 2010.
"Empirical assessment of bifurcation regions within New Keynesian models,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 99-128, October.
- William Barnett & Evgeniya Aleksandrovna Duzhak, 2008. "Empirical Assessment of Bifurcation Regions within New Keynesian Models," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200811, University of Kansas, Department of Economics, revised Oct 2008.
- Barnett, William A. & Duzhak, Evgeniya A., 2008. "Empirical assessment of bifurcation regions within new Keynesian models," MPRA Paper 11249, University Library of Munich, Germany.
- José M. Gaspar, 2015. "A dynamic aggregate supply and aggregate demand model with Matlab," FEP Working Papers 559, Universidade do Porto, Faculdade de Economia do Porto.
- Liu, Xiaoming & Liao, Xiaofeng, 2009. "Necessary and sufficient conditions for Hopf bifurcation in tri-neuron equation with a delay," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 481-490.
- Luis A. Aguirre & Antonio Aguirre, 1997.
"A tutorial introduction to nonlinear dynamics in economics,"
Nova Economia, Economics Department, Universidade Federal de Minas Gerais (Brazil), vol. 7(2), pages 9-47.
- Luís A. Aguirre & Antônio Aguirre, 1995. "A tutorial introduction to nonlinear dynamics in economics," Textos para Discussão Cedeplar-UFMG 088, Cedeplar, Universidade Federal de Minas Gerais.
- Toichiro Asada, 1991. "On a mixed competitive-monopolistic macrodynamic model in a monetary economy," Journal of Economics, Springer, vol. 54(1), pages 33-53, February.
- Chen, Wei-Ching, 2008. "Nonlinear dynamics and chaos in a fractional-order financial system," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1305-1314.
- Liao, Xiaofeng & Ran, Jiouhong, 2007. "Hopf bifurcation in love dynamical models with nonlinear couples and time delays," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 853-865.
- Hiroki Murakami, 2019. "A note on the “unique” business cycle in the Keynesian theory," Metroeconomica, Wiley Blackwell, vol. 70(3), pages 384-404, July.
- V. Ragupathy & K.Vela Velupillai & Stefano Zambelli, 2012. "A Non-mathematical Non-linear Model of the Trade Cycle: Mathematical Reflections on Hugh Hudson's Classic," ASSRU Discussion Papers 1215, ASSRU - Algorithmic Social Science Research Unit.
More about this item
Keywords
delay differential equation; stability; Hopf bifurcation; IS-LM model;All these keywords.
JEL classification:
- C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
- C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
- C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:13270. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.