Switching induced complex dynamics in an extended logistic map

Erik A. Levinsohn, Steve A. Mendoza and Enrique Peacock-López

Chaos, Solitons & Fractals, 2012, vol. 45, issue 4, 426-432

Abstract: Switching strategies have been related to the so-called Parrondian games, where the alternation of two losing games yields a winning game. We can consider two dynamics that, by themselves, yield different simple dynamical behaviors, but when alternated, yield complex trajectories. In the analysis of the alternate-extended logistic map, we observe a plethora of complex dynamic behaviors, which coexist with a super stable extinction solution.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:45:y:2012:i:4:p:426-432

DOI: 10.1016/j.chaos.2011.12.020

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