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Spectral analysis and generation of certain highly oscillatory curves related to chaos, part 2: Calculation aspects

Author

Listed:
  • Chen, Goong
  • Huang, Tingwen
  • Mariani, Maria Christina
  • Espandeary, Roza
  • Kanes, Rym
  • Sheriff, Mohammed
  • Srinivasan, Srikanth

Abstract

The Fourier spectrum of a curve on a given interval, as represented by the Fourier series, is very reflective of the oscillatory behavior of the curve as the “weights” of the Fourier coefficients can indicate the individual prominence of frequencies of oscillations. But, unfortunately, the calculations of the Fourier coefficients can often get quite cumbersome.

Suggested Citation

  • Chen, Goong & Huang, Tingwen & Mariani, Maria Christina & Espandeary, Roza & Kanes, Rym & Sheriff, Mohammed & Srinivasan, Srikanth, 2013. "Spectral analysis and generation of certain highly oscillatory curves related to chaos, part 2: Calculation aspects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(18), pages 4036-4047.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:18:p:4036-4047
    DOI: 10.1016/j.physa.2013.04.041
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