WIAS Preprint No. 1152, (2006)

Chaotic bound state of localized structures in the complex Ginzburg--Landau equation



Authors

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

2010 Mathematics Subject Classification

  • 78A60 35Q60 35B32

2008 Physics and Astronomy Classification Scheme

  • 42.65.Sf 05.45.-a 42.65.Tg

Keywords

  • dissipative soliton, pulse interaction, homoclinic bifurcation

Abstract

A new type of stable dynamic bound state of dissipative localized structures is found. It is characterized by chaotic oscillations of distance between the localized structures, their phase difference, and the center of mass velocity.

Appeared in

  • Phys. Rev. E, 75 (2007) pp. 045601(R).

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