Publicação: Relaxation to Fixed Points in the Logistic and Cubic Maps: Analytical and Numerical Investigation
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Data
2013-10-01
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
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Título de Volume
Editor
Mdpi Ag
Tipo
Artigo
Direito de acesso
Acesso aberto
Resumo
Convergence to a period one fixed point is investigated for both logistic and cubic maps. For the logistic map the relaxation to the fixed point is considered near a transcritical bifurcation while for the cubic map it is near a pitchfork bifurcation. We confirmed that the convergence to the fixed point in both logistic and cubic maps for a region close to the fixed point goes exponentially fast to the fixed point and with a relaxation time described by a power law of exponent -1. At the bifurcation point, the exponent is not universal and depends on the type of the bifurcation as well as on the nonlinearity of the map.
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Inglês
Como citar
Entropy. Basel: Mdpi Ag, v. 15, n. 10, p. 4310-4318, 2013.
