Publicação: Dynamical properties of a dissipative discontinuous map: A scaling investigation
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Elsevier B.V.
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Resumo
The 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.
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Scaling, Discontinuous map, Dissipation
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Inglês
Como citar
Physics Letters A. Amsterdam: Elsevier Science Bv, v. 377, n. 44, p. 3216-3222, 2013.
