An example of nonlinear dynamical system : the logistic map

Giuseppe Orlando and Giovanni Taglialatela

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.

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Year of publication:	2021
Authors:	Orlando, Giuseppe ; Taglialatela, Giovanni
Published in:	Nonlinearities in economics : an interdisciplinary approach to economic dynamics, growth and cycles. - Cham : Springer, ISBN 978-3-030-70981-5. - 2021, p. 39-50
Subject:	Attractors and repellers \| Dynamical systems \| Limit cycles \| Logistic map \| Logistik \| Logistics \| Nichtlineare Dynamik \| Nonlinear dynamics \| Chaostheorie \| Chaos theory \| Dynamische Wirtschaftstheorie \| Economic dynamics \| Logistikunternehmen \| Logistics provider

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Type of publication:	Article
Type of publication (narrower categories):	Aufsatz im Buch ; Book section ; Konferenzbeitrag ; Conference paper
Language:	English
Other identifiers:	10.1007/978-3-030-70982-2_3 [DOI]
Source:	ECONIS - Online Catalogue of the ZBW

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