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Global Attractors of Non-autonomous Difference Equations

Author

Listed:
  • David Cheban

    (University of Moldova)

  • Cristiana Mammana

    (University of Macerata)

  • Elisabetta Michetti

    (University of Macerata)

Abstract

The article is devoted to the study of global attractors of quasi-linear non-autonomous difference equations, in particular we give the conditions for the existence of a compact global attractor. The obtained results are applied to the study of a triangular economic growth model recently developed by Brianzoni S., Mammana C. and Michetti E.

Suggested Citation

  • David Cheban & Cristiana Mammana & Elisabetta Michetti, 2008. "Global Attractors of Non-autonomous Difference Equations," Working Papers 47-2008, Macerata University, Department of Finance and Economic Sciences, revised Oct 2008.
    • Handle: RePEc:mcr:wpdief:wpaper00047
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    References listed on IDEAS

    as
    1. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, Oxford University Press, vol. 70(1), pages 65-94.
    2. Brianzoni Serena & Mammana Cristiana & Michetti Elisabetta, 2007. "Complex Dynamics in the Neoclassical Growth Model with Differential Savings and Non-Constant Labor Force Growth," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 11(3), pages 1-19, September.
    3. Bohm, Volker & Kaas, Leo, 2000. "Differential savings, factor shares, and endogenous growth cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 965-980, June.
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    Cited by:

    1. David Cheban & Cristiana Mammana & Elisabetta Michetti, 2012. "Non-Autonomous Difference Equations: Global Attractor in a Business-Cycle Model with Endogenous Population Growth," Working Papers 69-2012, Macerata University, Department of Finance and Economic Sciences, revised Sep 2015.
    2. Michetti, Elisabetta, 2015. "Complex attractors and basins in a growth model with nonconcave production function and logistic population growth rate," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 108(C), pages 215-232.
    3. Brianzoni, Serena & Mammana, Cristiana & Michetti, Elisabetta, 2009. "Nonlinear dynamics in a business-cycle model with logistic population growth," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 717-730.
    4. Grassetti, Francesca & Mammana, Cristiana & Michetti, Elisabetta, 2018. "Substitutability between production factors and growth. An analysis using VES production functions," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 53-62.

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