Power law periodicity in the tangent bifurcations of the logistic map

Hugo L.D de S. Cavalcante, Giovani L Vasconcelos and José R Rios Leite

Physica A: Statistical Mechanics and its Applications, 2001, vol. 295, issue 1, 291-296

Abstract: Numerical studies were carried out for the average of the logistic map on the tangent bifurcations from chaos into periodic windows. A critical exponent of 12 is found on the average amplitude as one approaches the transition. Additionally, the averages oscillate with a period that decreases with the same exponent. This Power Law Periodicity is related to the reinjection mechanism of the map. The undulations appear at control parameter values much earlier than the values where the critical exponent of the bifurcation shows significant changes in the average amplitude.

Keywords: Dynamical bifurcations; Chaos; Logistic map (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:295:y:2001:i:1:p:291-296

DOI: 10.1016/S0378-4371(01)00090-5

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