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An Example of Nonlinear Dynamical System: The Logistic Map

In: Nonlinearities in Economics

Author

Listed:
  • Giuseppe Orlando

    (University of Bari, Department of Economics and Finance
    University of Camerino, School of Sciences and Technology)

  • Giovanni Taglialatela

    (University of Bari, Department of Economics and Finance)

Abstract

In this chapter, the Logistic Map is taken as the example demonstrating the generic stability properties of fixed points and limit cycles, in dependence of the strength of nonlinearity. To identify attracting periodic orbits, we use the Schwarz derivative. The chapter ends with an application of Singer’s theorem, followed by the proof that it is generally not possible to provide closed formula for solutions.

Suggested Citation

  • Giuseppe Orlando & Giovanni Taglialatela, 2021. "An Example of Nonlinear Dynamical System: The Logistic Map," Dynamic Modeling and Econometrics in Economics and Finance, in: Giuseppe Orlando & Alexander N. Pisarchik & Ruedi Stoop (ed.), Nonlinearities in Economics, chapter 0, pages 39-50, Springer.
    • Handle: RePEc:spr:dymchp:978-3-030-70982-2_3
    DOI: 10.1007/978-3-030-70982-2_3
    as

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