Seasonality and the logistic map

Emily Silva and Enrique Peacock-Lopez

Chaos, Solitons & Fractals, 2017, vol. 95, issue C, 152-156

Abstract: Nonlinear difference equations, such as the logistic map, have been used to study chaos and also to model population dynamics. Here we propose a model that extends the “lose + lose = win” behavior found in Parrondo’s Paradox, where switching between chaotic parameters in the logistic map yields periodic behavior (“chaos + chaos = order”). The model uses twelve parameters each reflecting the conditions of one of the twelve months. In this paper we study the effects of smooth-transitioning parameters and the robust system that emerges.

Keywords: Seasonality; Logisic map; Switching strategies; Parrondo paradox (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:95:y:2017:i:c:p:152-156

DOI: 10.1016/j.chaos.2016.12.015

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