Relaxation to Fixed Points in the Logistic and Cubic Maps: Analytical and Numerical Investigation
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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Data(s) |
03/12/2014
03/12/2014
01/10/2013
|
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. |
Formato |
4310-4318 |
Identificador |
http://dx.doi.org/10.3390/e15104310 Entropy. Basel: Mdpi Ag, v. 15, n. 10, p. 4310-4318, 2013. 1099-4300 http://hdl.handle.net/11449/113117 10.3390/e15104310 WOS:000328486900018 WOS000328486900018.pdf |
Idioma(s) |
eng |
Publicador |
Mdpi Ag |
Relação |
Entropy |
Direitos |
openAccess |
Palavras-Chave | #relaxation to fixed points #dissipative mapping #complex system #cubic map #logistic map |
Tipo |
info:eu-repo/semantics/article |