Artículos de revistas
Relaxation to Fixed Points in the Logistic and Cubic Maps: Analytical and Numerical Investigation
Fecha
2013-10-01Registro en:
Entropy. Basel: Mdpi Ag, v. 15, n. 10, p. 4310-4318, 2013.
1099-4300
10.3390/e15104310
WOS:000328486900018
WOS000328486900018.pdf
6130644232718610
Autor
Universidade Estadual Paulista (Unesp)
Abdus Salaam Int Ctr Theoret Phys
Institución
Resumen
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.