2006/05/07 by P. Manimaran, P Manimaran, Prasanta K. Panigrahi +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Economics, Econometrics and Finance · Physics and Astronomy · #Chaos control and synchronization #Complex Systems and Time Series Analysis #Fractal and DNA sequence analysis #nlin.CD
paper · pdf · doi:10.1088/0305-4470/39/42/l02
7 pages, 2 eps figures
arxiv created 2006/05/07 · openalex publication_date 2006/10/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
A recently developed wavelet based approach is employed to characterize the scaling behaviour of spectral fluctuations of random matrix ensembles, as well as complex atomic systems. Our study clearly reveals anti-persistent behaviour and supports the Fourier power spectral analysis. It also finds evidence for multi-fractal nature in the atomic spectra. The multi-resolution and localization nature of the discrete wavelets ideally characterizes the fluctuations in these time series, some of which are not stationary.