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Periodic driving shape controls energy transmission.

Christian Simadji Ngamou1, Frank Thomas Ndjomatchoua2, Clément Tchawoua1

  • 1Laboratory of Mechanics and Complex Systems, Department of Physics, Faculty of Science, <a href="https://ror.org/022zbs961">University of Yaoundé</a> 1, P.O. Box 812, Ngoa Ekelle, Yaoundé, Cameroon.

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|June 22, 2024
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Summary
This summary is machine-generated.

Nonlinear supratransmission (NST) is influenced by excitation signal shape, not just amplitude. Optimal nonsinusoidal driving can control energy flow through lattices, expanding on prior sinusoidal discoveries.

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Area of Science:

  • Nonlinear Dynamics
  • Condensed Matter Physics
  • Wave Propagation

Background:

  • Nonlinear supratransmission (NST) was discovered by Geniet and Leon in 2002.
  • NST involves creating nonlinear structures via sinusoidal boundary conditions in a forbidden frequency band gap.

Purpose of the Study:

  • To investigate the influence of excitation signal shape on nonlinear supratransmission.
  • To demonstrate that nonsinusoidal excitation can induce or inhibit energy flow in lattices.

Main Methods:

  • Numerical simulations were performed.
  • Mathematical calculations were conducted.
  • The Fermi-Pasta-Ulam model was used as a case study.

Main Results:

  • The shape of a periodic excitation signal significantly impacts energy flow.
  • Optimal nonsinusoidal shapes can control energy transmission below or above the NST threshold.
  • A shape parameter of zero recovers previous findings for sinusoidal signals.

Conclusions:

  • Nonlinear supratransmission is dependent on both driving amplitude and excitation signal shape.
  • Nonsinusoidal driving offers a new method for controlling energy flow in nonlinear lattices.
  • This research extends the understanding of NST beyond sinusoidal excitations.