Optimal Resonance Forcing of Nonlinear Systems

ORAL

Abstract

We study the response of dynamical systems to additive forcing and find that, for a broad class of systems, the response is maximized by a pattern of forcing that mimics the time-reversed dynamics of the unforced system. Applying these results, we numerically construct families of optimal inputs and successfully perform spectroscopic system identification on our modeled systems.

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Authors

  • Glenn Foster

  • Alfred Hubler

    • Center for Complex Systems Research, Department of Physics, University of Illinois at Urbana-Champaign
    • Department of Physics, University of Illinois at Urbana-Champaign