IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v157y2022ics0960077922001813.html
   My bibliography  Save this article

On the dynamics of the q-deformed Puu’s model with cubic investment map

Author

Listed:
  • Muñoz-Guillermo, María

Abstract

In 1991, T. Puu proposed a cubic investment map in order to analyze chaos in business cycles [34]. In this study, we propose a q-deformation of the aggregate variable income difference in order to analyze the dynamics of the q-deformed version considering that the original model is a particular case of the q-deformation case with q=1.

Suggested Citation

  • Muñoz-Guillermo, María, 2022. "On the dynamics of the q-deformed Puu’s model with cubic investment map," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    • Handle: RePEc:eee:chsofr:v:157:y:2022:i:c:s0960077922001813
    DOI: 10.1016/j.chaos.2022.111971
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922001813
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2022.111971?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Lucas, Robert E, Jr, 1980. "Methods and Problems in Business Cycle Theory," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 12(4), pages 696-715, November.
    2. Plastino, A., 2004. "Why Tsallis’ statistics?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(3), pages 608-613.
    3. Mario Forni & Luca Gambetti & Marco Lippi & Luca Sala, 2017. "Noisy News in Business Cycles," American Economic Journal: Macroeconomics, American Economic Association, vol. 9(4), pages 122-152, October.
    4. Sushko, Iryna & Gardini, Laura & Puu, Tönu, 2010. "Regular and chaotic growth in a Hicksian floor/ceiling model," Journal of Economic Behavior & Organization, Elsevier, vol. 75(1), pages 77-94, July.
    5. Mankiw, N. Gregory & Reis, Ricardo, 2010. "Imperfect Information and Aggregate Supply," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 5, pages 183-229, Elsevier.
    6. Wesley Clair Mitchell, 1927. "Business Cycles: The Problem and Its Setting," NBER Books, National Bureau of Economic Research, Inc, number mitc27-1, March.
    7. Wesley Clair Mitchell, 1927. "Introductory pages to "Business Cycles: The Problem and Its Setting"," NBER Chapters, in: Business Cycles: The Problem and Its Setting, pages -23, National Bureau of Economic Research, Inc.
    8. Arthur F. Burns & Wesley C. Mitchell, 1946. "Measuring Business Cycles," NBER Books, National Bureau of Economic Research, Inc, number burn46-1, March.
    9. Lucas, Robert E., 1977. "Understanding business cycles," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 5(1), pages 7-29, January.
    10. Puu, Tonu & Gardini, Laura & Sushko, Irina, 2005. "A Hicksian multiplier-accelerator model with floor determined by capital stock," Journal of Economic Behavior & Organization, Elsevier, vol. 56(3), pages 331-348, March.
    Full references (including those not matched with items on IDEAS)

    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.
    1. Olivier J. Blanchard & Mark W. Watson, 1986. "Are Business Cycles All Alike?," NBER Chapters, in: The American Business Cycle: Continuity and Change, pages 123-180, National Bureau of Economic Research, Inc.
    2. Alejandro López-Vera & Andrés D. Pinchao-Rosero & Norberto Rodríguez-Niño, 2018. "Non-Linear Fiscal Multipliers for Public Expenditure and Tax Revenue in Colombia," Revista ESPE - Ensayos sobre Política Económica, Banco de la Republica de Colombia, vol. 36(85), pages 48-64, April.
    3. Silva, Aldy Fernandes da & Weffort, Elionor Farah Jreige & Flores, Eduardo da Silva & Silva, Glauco Peres da, 2014. "Gerenciamento de resultados e crises econômicas no mercado de capitais brasileiro," RAE - Revista de Administração de Empresas, FGV-EAESP Escola de Administração de Empresas de São Paulo (Brazil), vol. 54(3), May.
    4. Pablo Mejía-Reyes & Reyna Vergara-González, 2017. "Are More Severe Recessions Followed by Stronger Early Expansions of Employment in the Mexican States?," The Review of Regional Studies, Southern Regional Science Association, vol. 47(3), pages 243-269, Fall.
    5. Galbács Peter, 2021. "What did it take for Lucas to set up ‘useful’ analogue systems in monetary business cycle theory?," Economics and Business Review, Sciendo, vol. 7(3), pages 61-82, September.
    6. Nathan S. Balke & Mark A. Wynne, 1993. "Recessions and recoveries in real business cycle models: do real business cycle models generate cyclical behavior?," Working Papers 9322, Federal Reserve Bank of Dallas.
    7. Zdravko Šergo & Jasmina Gržiniæ & Mirela Suèiæ Èevra, 2017. "The tourism and travel industry and its effect on the Great Recession: A multilevel survival analysis," Zbornik radova Ekonomskog fakulteta u Rijeci/Proceedings of Rijeka Faculty of Economics, University of Rijeka, Faculty of Economics and Business, vol. 35(2), pages 427-458.
    8. Anna Solms & Bernd Süssmuth, 2022. "Business cycle characteristics of Mediterranean economies: a secular trend and cycle dynamics perspective," International Economics and Economic Policy, Springer, vol. 19(4), pages 825-862, October.
    9. Grigoraş, Veaceslav & Stanciu, Irina Eusignia, 2016. "New evidence on the (de)synchronisation of business cycles: Reshaping the European business cycle," International Economics, Elsevier, vol. 147(C), pages 27-52.
    10. Arthur F. Burns, 1969. "The Nature and Causes of Business Cycles," NBER Chapters, in: The Business Cycle in a Changing World, pages 3-53, National Bureau of Economic Research, Inc.
    11. Robert W. Dimand, 2012. "The Roots of the Present are in the Past: The Relation of Postwar Developments in Macroeconomics to Interwar Business Cycle and Monetary Theory," Chapters, in: Thomas Cate (ed.), Keynes’s General Theory, chapter 5, Edward Elgar Publishing.
    12. Karamé, Frédéric, 2015. "Asymmetries and Markov-switching structural VAR," Journal of Economic Dynamics and Control, Elsevier, vol. 53(C), pages 85-102.
    13. Agnès Labrousse & Sandrine Michel, 2017. "Accumulation regimes," Post-Print hal-01719977, HAL.
    14. Sinclair Tara M, 2009. "Asymmetry in the Business Cycle: Friedman's Plucking Model with Correlated Innovations," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 14(1), pages 1-31, December.
    15. Marlon Fritz & Thomas Gries & Yuanhua Feng, 2019. "Growth Trends and Systematic Patterns of Booms and Busts‐Testing 200 Years of Business Cycle Dynamics," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 81(1), pages 62-78, February.
    16. Peter Martey Addo & Monica Billio & Dominique Guegan, 2012. "Studies in Nonlinear Dynamics and Wavelets for Business Cycle Analysis," Documents de travail du Centre d'Economie de la Sorbonne 12023r, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Nov 2013.
    17. Travis J. Berge & Shu-Chun Chen & Hsieh Fushing & Òscar Jordà, 2010. "A chronology of international business cycles through non-parametric decoding," Research Working Paper RWP 11-13, Federal Reserve Bank of Kansas City.
    18. McKay, Alisdair & Reis, Ricardo, 2008. "The brevity and violence of contractions and expansions," Journal of Monetary Economics, Elsevier, vol. 55(4), pages 738-751, May.
    19. Olkhov, Victor, 2018. "Economic Transactions Govern Business Cycles," MPRA Paper 87207, University Library of Munich, Germany.
    20. Sergio Rebelo, 2005. "Real Business Cycle Models: Past, Present, and Future," NBER Working Papers 11401, National Bureau of Economic Research, Inc.

    Corrections

    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:eee:chsofr:v:157:y:2022:i:c:s0960077922001813. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.