Aguilar-Sanchez, R.Leonel, Edson D. [UNESP]Mendez-Bermudez, J. A.2014-12-032014-12-032013-12-13Physics Letters A. Amsterdam: Elsevier Science Bv, v. 377, n. 44, p. 3216-3222, 2013.0375-9601http://hdl.handle.net/11449/113128The effects of dissipation on the scaling properties of nonlinear discontinuous maps are investigated by analyzing the behavior of the average squared action < I-2 > as a function of the n-th iteration of the map as well as the parameters K and gamma, controlling nonlinearity and dissipation, respectively. We concentrate our efforts to study the case where the nonlinearity is large; i.e., K >> 1. In this regime and for large initial action I-0 >> K, we prove that dissipation produces an exponential decay for the average action < I >. Also, for I-0 congruent to 0, we describe the behavior of < I-2 > using a scaling function and analytically obtain critical exponents which are used to overlap different curves of < I-2 > onto a universal plot. We complete our study with the analysis of the scaling properties of the deviation around the average action omega. (C) 2013 Elsevier B.V. All rights reserved.3216-3222engScalingDiscontinuous mapDissipationArtigo10.1016/j.physleta.2013.10.006WOS:000327230200005Acesso restrito6130644232718610