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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/113128
Title: 
Dynamical properties of a dissipative discontinuous map: A scaling investigation
Author(s): 
Institution: 
  • Benemerita Univ Autonoma Puebla
  • Universidade Estadual Paulista (UNESP)
ISSN: 
0375-9601
Sponsorship: 
  • VIEP-BUAP
  • PIFCA
  • Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
  • Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
  • Fundação para o Desenvolvimento da UNESP (FUNDUNESP)
Sponsorship Process Number: 
  • VIEP-BUAPMEBJ-EXC13-I
  • PIFCABUAP-CA-40
  • PIFCABUAP-CA-169
  • FAPESP: 12/23688-5
Abstract: 
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.
Issue Date: 
13-Dec-2013
Citation: 
Physics Letters A. Amsterdam: Elsevier Science Bv, v. 377, n. 44, p. 3216-3222, 2013.
Time Duration: 
3216-3222
Publisher: 
Elsevier B.V.
Keywords: 
  • Scaling
  • Discontinuous map
  • Dissipation
Source: 
http://dx.doi.org/10.1016/j.physleta.2013.10.006
URI: 
Access Rights: 
Acesso restrito
Type: 
outro
Source:
http://repositorio.unesp.br/handle/11449/113128
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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