SELF-EXCITED SOLITON MOTION

We present an extensive analytical and numerical study of the dynamics of kink solitons in Klein-Gordon systems with nonlinear damping. Part icularly, the nonlinear damping could model the interaction of the sol itons with an active medium. We analyze the existence and stability co nditions of stationary states for the soliton. We present a different kind of bifurcation: a structure-breaking bifurcation. After this bifu rcation the soliton enters a highly nonstationary state (solitonic exp losion). We show the existence of self-sustained oscillations of solit ons (solitonic limit cycles). Finally, we present chaotic motion of so litons similar to the Duffing-Van der Pol type.