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[00565] Resonance with a Delay Differential Equation

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @G401
  • Type : Contributed Talk
  • Abstract : We propose here a delay differential equation with a linear time coefficient that produces transient resonant behavior. The oscillatory transient dynamics appear and disappear as the delay is increased between zero to asymptotically large delay. Also, for an appropriately tuned value of the delay, the height of the power spectrum goes through the maximum. This resonant behavior contrasts itself against the general behaviors observed with the constant coefficient delay differential equations.
  • Classification : 34K23, 93C43
  • Format : Talk at Waseda University
  • Author(s) :
    • Kenta Ohira (Nagoya University)
    • Toru Ohira (Graduate School of Mathematics, Nagoya University)