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Neimark–Sacker bifurcation for the discrete-delay Kaldor–Kalecki model

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  • Dobrescu, Loretti I.
  • Opris, Dumitru

Abstract

The present work will focus on a Kaldor–Kalecki nonlinear business cycle model in income and capital, with discrete time and delay argument characteristics. What it will state, considering an investment function similar to the one proposed by Rodano and using the linear approximation analysis, are the local stability property and local bifurcations conditions, given the parameter space. Numerical examples will be given in the end, to support the theoretical results obtained.

Suggested Citation

  • Dobrescu, Loretti I. & Opris, Dumitru, 2009. "Neimark–Sacker bifurcation for the discrete-delay Kaldor–Kalecki model," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2405-2413.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:5:p:2405-2413
    DOI: 10.1016/j.chaos.2008.09.022
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    1. Dobrescu, Loretti I. & Opris, Dumitru, 2009. "Neimark–Sacker bifurcation for the discrete-delay Kaldor model," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2462-2468.
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    Cited by:

    1. Lixiao Hao & Vasilios I. Manousiouthakis, 2021. "Sustainability over sets and the business cycle," SN Business & Economics, Springer, vol. 1(6), pages 1-26, June.
    2. Januário, Cristina & Grácio, Clara & Duarte, Jorge, 2009. "Measuring complexity in a business cycle model of the Kaldor type," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2890-2903.
    3. Wenjie Hu & Hua Zhao & Tao Dong, 2018. "Dynamic Analysis for a Kaldor–Kalecki Model of Business Cycle with Time Delay and Diffusion Effect," Complexity, Hindawi, vol. 2018, pages 1-11, January.

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    1. Wenjie Hu & Hua Zhao & Tao Dong, 2018. "Dynamic Analysis for a Kaldor–Kalecki Model of Business Cycle with Time Delay and Diffusion Effect," Complexity, Hindawi, vol. 2018, pages 1-11, January.
    2. Loretti I. Dobrescu & Dumitru Opris, 2008. "Hopf bifurcation for the discrete - delay Kaldor - Kalecki model," "Marco Fanno" Working Papers 0067, Dipartimento di Scienze Economiche "Marco Fanno".
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    5. Lixiao Hao & Vasilios I. Manousiouthakis, 2021. "Sustainability over sets and the business cycle," SN Business & Economics, Springer, vol. 1(6), pages 1-26, June.
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