WIAS Preprint No. 1659, (2011)

Strong synchronization of weakly interacting oscillons



Authors

  • Turaev, Dmitry
  • Vladimirov, Andrei G.
  • Zelik, Sergey

2010 Mathematics Subject Classification

  • 37N20 49K20 34E10

2008 Physics and Astronomy Classification Scheme

  • 05.45.-a 42.65.Pc

Keywords

  • Localized structures of light, light pulses, oscillons, interaction of dissipative soliton

Abstract

We study interaction of well-separated oscillating localized structures (oscillons). We show that oscillons emit weakly decaying dispersive waves, which leads to formation of bound states due to subharmonic synchronization. We also show that in optical applications the Andronov-Hopf bifurcation of stationary localized structures leads to a drastic increase in their interaction strength.

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