Characteristic spectra of the curvature functional: a numerical study in bifurcation

  • Authors:

  • John A. Edwards

  • Affiliations:

  • Lower Hutt City, NZ

  • Venue:
  • ACM Transactions on Mathematical Software (TOMS)
  • Year:
  • 1999

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Abstract

A method is described for the eignevalues of piecewise smooth C2 extremum-energy curves. Typical interpolants are investigated within the framework of their eigensystems, and conclusions are presented concerning their natural modes of vibration, stability state, and limits of existence.In the present discussion the word “spline” means exclusively an interpolating elastica.