TY - JOUR PY - 2019// TI - Application of symbolic recurrence to experimental data, from firearm prevalence to fish swimming JO - Chaos, solitons and fractals A1 - Boldini, Alain A1 - Karakaya, Mert A1 - Ruiz MarĂn, Manuel A1 - Porfiri, Maurizio SP - e113128 EP - e113128 VL - 29 IS - 11 N2 - Recurrence plots and recurrence quantification analysis are powerful tools to study the behavior of dynamical systems. What we learn through these tools is typically determined by the choice of a distance threshold in the phase space, which introduces arbitrariness in the definition of recurrence. Not only does symbolic recurrence overcome this difficulty, but also it offers a richer representation that book-keeps the recurrent portions of the phase space. Using symbolic recurrences, we can construct recurrence plots, perform quantification analysis, and examine causal links between dynamical systems from their time-series. Although previous efforts have demonstrated the feasibility of such a symbolic framework on synthetic data, the study of real time-series remains elusive. Here, we seek to bridge this gap by systematically examining a wide range of experimental datasets, from firearm prevalence and media coverage in the United States to the effect of sex on the interaction of swimming fish. This work offers a compelling demonstration of the potential of symbolic recurrence in the study of real-world applications across different research fields while providing a computer code for researchers to perform their own time-series explorations.
Language: en
LA - en SN - 0960-0779 UR - http://dx.doi.org/10.1063/1.5119883 ID - ref1 ER -