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Related Experiment Videos

On the back-firing instability.

M Argentina1, O Rudzick, M G Velarde

  • 1Division of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02139, USA.

Chaos (Woodbury, N.Y.)
|September 28, 2004
PubMed
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Researchers studied the back-firing instability in a dissipative system. Localized solutions become unstable, emitting a new wave in the opposite direction from a solitary wave tail.

Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Wave Phenomena

Background:

  • Localized solutions in spatially extended systems can exhibit instabilities.
  • The back-firing instability is a phenomenon where a wave emits a new wave in the reverse direction.
  • Understanding such instabilities is crucial for various physical systems.

Purpose of the Study:

  • To investigate the onset of the back-firing instability.
  • To analyze the behavior of propagating localized solutions that become unstable.
  • To elucidate the mechanism of wave emission from solitary wave tails.

Main Methods:

  • Analysis of a one-dimensional spatially extended and dissipative system.
  • Mathematical modeling using a normal form equation.

Related Experiment Videos

  • Geometrical illustration of the transition to instability.
  • Main Results:

    • Identified the conditions leading to the onset of back-firing instability.
    • Demonstrated that propagating localized solutions can become unstable.
    • Observed the emission of a new wave from the tail of a solitary wave in the opposite direction.

    Conclusions:

    • The back-firing instability involves the generation of a counter-propagating wave from a solitary wave's tail.
    • A model normal form equation effectively illustrates this transition geometrically.
    • This study provides insights into wave dynamics and instabilities in dissipative systems.