Resonant forcing of select degrees of freedom of multidimensional chaotic map dynamics

  title={Resonant forcing of select degrees of freedom of multidimensional chaotic map dynamics},
  author={Vadas Gintautas and Glenn C. Foster and Alfred Wilhelm Hubler},
We study resonances of multidimensional chaotic map dynamics. We use the calculus of variations to determine the additive forcing function that induces the largest response, that is, the greatest deviation from the unperturbed dynamics. We include the additional constraint that only select degrees of freedom be forced, corresponding to a very general class of problems in which not all of the degrees of freedom in an experimental system are accessible to forcing. We find that certain Lagrange… 
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