Chaotic bound states of dissipative solitons in Ginzburg-Landau equation

Dmitry Turaev

Ben Gurion University, Mathematics Department, Beer Sheva, Israel

We show that the breakdown of rotational symmetry in the complex Ginzburg-Landau equation leads to a formation of dynamic bound states of two solitons, characterized by undamped oscillations of the position and phases of the solitons. We provide numerical and theoretical evidence for the existence of different such dynamical regimes, regular and chaotic, and discuss their evolution as parameters change.

Joint work with A.Vladimirov and S.Zelik.

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