Resonant forcing of nonlinear systems of differential equations.

@article{Gintautas2008ResonantFO,
  title={Resonant forcing of nonlinear systems of differential equations.},
  author={Vadas Gintautas and Alfred W. H{\"u}bler},
  journal={Chaos},
  year={2008},
  volume={18 3},
  pages={
          033118
        }
}
We study resonances of nonlinear systems of differential equations, including but not limited to the equations of motion of a particle moving in a potential. We use the calculus of variations to determine the minimal additive forcing function that induces a desired terminal response, such as an energy in the case of a physical system. 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… Expand
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