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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Phase detection of chaos

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Follmann, Rosangela ; Macau, Elbert E. N. ; Rosa, Jr., Epaminondas [1]
Total Authors: 3
[1] Illinois State Univ, Dept Phys, Bloomington, IL 61790 - USA
Total Affiliations: 1
Document type: Journal article
Source: Physical Review E; v. 83, n. 1, 2 JAN 21 2011.
Web of Science Citations: 5

A technique, first introduced in the context of pseudoperiodic sound waves, is here applied to the problem of detecting the phase of phase coherent and also phase noncoherent chaotic oscillators. The approach is based on finding sinusoidal fits to segments of the signal, therefore obtaining, for each segment, an appropriate frequency from which a phase can be derived. Central to the method is a judicious choice for the size of a sliding window and for the frequency range, as well as for the window advancing step. The approach is robust against moderate noise levels and three cases are presented for demonstrating the applicability of the method. (AU)