@Article{PradoCLBBFML:2020:MaEnPr,
               author = "Prado, Thiago L. and Corso, G. and Lima, G. Z. dos Santos and 
                         Budzinski, Roberto C. and Boaretto, Bruno R. R. and Ferrari, F. A. 
                         S. and Macau, Elbert Einstein Nehrer and Lopes, S{\'e}rgio 
                         Roberto",
          affiliation = "{Universidade Federal do Paran{\'a} (UFPR)} and {Universidade 
                         Federal do Rio Grande do Norte (UFRN)} and {Universidade Federal 
                         do Rio Grande do Norte (UFRN)} and {Universidade Federal do 
                         Paran{\'a} (UFPR)} and {Universidade Federal do Paran{\'a} 
                         (UFPR)} and {Universidade Federal dos Vales do Jequitinhonha e 
                         Mucuri} and {Instituto Nacional de Pesquisas Espaciais (INPE)} and 
                         {Universidade Federal do Paran{\'a} (UFPR)}",
                title = "Maximum entropy principle in recurrence plot analysis on 
                         stochastic and chaotic systems",
              journal = "Chaos",
                 year = "2020",
               volume = "30",
               number = "4",
                pages = "e043123",
                month = "Apr.",
             abstract = "The recurrence analysis of dynamic systems has been studied since 
                         Poincare's seminal work. Since then, several approaches have been 
                         developed to study recurrence properties in nonlinear dynamical 
                         systems. In this work, we study the recently developed entropy of 
                         recurrence microstates. We propose a new quantifier, the maximum 
                         entropy (S-max). The new concept uses the diversity of microstates 
                         of the recurrence plot and is able to set automatically the 
                         optimum recurrence neighborhood (epsilon-vicinity), turning the 
                         analysis free of the vicinity parameter. In addition, epsilon 
                         turns out to be a novel quantifier of dynamical properties itself. 
                         We apply Smax and the optimum epsilon to deterministic and 
                         stochastic systems. The S-max quantifier has a higher correlation 
                         with the Lyapunov exponent and, since it is a parameter-free 
                         measure, a more useful recurrence quantifier of time series.",
                  doi = "10.1063/1.5125921",
                  url = "http://dx.doi.org/10.1063/1.5125921",
                 issn = "1054-1500",
             language = "en",
           targetfile = "prado_maximun.pdf",
        urlaccessdate = "12 maio 2024"
}