Resonant forcing of multidimensional chaotic map dynamics.

@article{Foster2007ResonantFO,
  title={Resonant forcing of multidimensional chaotic map dynamics.},
  author={Glenn C. Foster and Alfred W. H{\"u}bler and Karin A. Dahmen},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2007},
  volume={75 3 Pt 2},
  pages={
          036212
        }
}
We study resonances of chaotic map dynamics. We use the calculus of variations to determine the additive forcing function that induces the largest response. We find that resonant forcing functions complement the separation of nearby trajectories, in that the product of the displacement of nearby trajectories and the resonant forcing is a conserved quantity. As a consequence, the resonant function will have the same periodicity as the displacement dynamics, and if the displacement dynamics is… Expand
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