Teixeira, Rivania M. N.Rando, Danilo S. [UNESP]Geraldo, Felipe C. [UNESP]Costa Filho, R. N.Oliveira, Juliano A. de [UNESP]Leonel, Edson D. [UNESP]2015-10-212015-10-212015-06-26Physics Letters A, v. 379, n. 18-19, p. 1246-1250, 2015.0375-9601http://hdl.handle.net/11449/129052Decay to asymptotic steady state in one-dimensional logistic-like mappings is characterized by considering a phenomenological description supported by numerical simulations and confirmed by a theoretical description. As the control parameter is varied bifurcations in the fixed points appear. We verified at the bifurcation point in both; the transcritical, pitchfork and period-doubling bifurcations, that the decay for the stationary point is characterized via a homogeneous function with three critical exponents depending on the nonlinearity of the mapping. Near the bifurcation the decay to the fixed point is exponential with a relaxation time given by a power law whose slope is independent of the nonlinearity. The formalism is general and can be extended to other dissipative mappings. (C) 2015 Elsevier B.V. All rights reserved.1246-1250engScaling lawCritical exponentsHomogeneous functionArtigo10.1016/j.physleta.2015.02.019WOS:000352173600010Acesso restrito6130644232718610