Abstract
Centro de Fi ´sica, Instituto Venezolano de Investigaciones Cientificas, Apartado 21827, Caracas 1020 A, Venezuela~Received 14 December 1994; revised manuscript received 13 February 1996!We present an extensive analytical and numerical study of the dynamics of kink solitons in Klein-Gordonsystems with nonlinear damping. Particularly, the nonlinear damping could model the interaction of the soli-tons with an active medium. We analyze the existence and stability conditions of stationary states for thesoliton. We present a different kind of bifurcation: a structure-breaking bifurcation. After this bifurcation thesoliton enters a highly nonstationary state ~solitonic explosion!. We show the existence of self-sustainedoscillations of solitons ~solitonic limit cycles!. Finally, we present chaotic motion of solitons similar to theDuffing–Van der Pol type.@S1063-651X~96!05707-8#PACS number~s!: 05.45.1b, 52.35.Sb, 52.35.Mw, 02.30.JrI. INTRODUCTION
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