An Example of Nonlinear Dynamical System: The Logistic Map

Giuseppe Orlando and Giovanni Taglialatela ()
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Giovanni Taglialatela: University of Bari, Department of Economics and Finance

Chapter Chapter 3 in Nonlinearities in Economics, 2021, pp 39-50 from Springer

Abstract: 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.

Keywords: Dynamical systems; Limit cycles; Attractors and repellers; Logistic map (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:dymchp:978-3-030-70982-2_3

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DOI: 10.1007/978-3-030-70982-2_3

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