• M S Gopinathan

      Articles written in Pramana – Journal of Physics

    • Some theoretical studies on concurrent events in photoelectron spectroscopy

      M S Gopinathan B J Cherayil

      More Details Abstract Fulltext PDF

      Concurrent events in photoelecron spectroscopy such as photoionisation, shake-up and shake-off transitions are studied using atomic wavefunctions recently developed by one of the authors and the concept of the Slater transition state. Various transition energies and intensities are calculated to test the efficiency of the wave-functions and the applicability of the transition state method to these processes. It is concluded that the method is reliable enough to be useful in the assignment of these transitions in the experimental spectrum.

    • Detection of determinism and randomness in time series: A method based on phase space overlap of attractors

      M S Gopinathan

      More Details Abstract Fulltext PDF

      The space overlap of an attractor reconstructed from a time series with a similarly reconstructed attractor from a random series is shown to be a sensitive measure of determinism. Results for the time series for Henon, Lorenz and Rössler systems as well as a linear stochastic signal and an experimental ECG signal are reported. The overlap increases with increasing levels of added noise, as shown in the case of Henon attractor. Further, the overlap is shown to decrease as noise is reduced in the case of the ECG signal when subjected to singular value decomposition. The scaling behaviour of the overlap with bin size affords a reliable estimate of the fractal dimension of the attractor even with limited data.

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