Jaime CisternasOrazio DescalziCarlos Cartes2026-03-222026-03-22201210.2478/s11534-012-0023-1https://doi.org/10.2478/s11534-012-0023-1https://andeanlibrary.org/handle/123456789/54160Citaciones: 5Abstract We investigate the transition to explosive dissipative solitons and the destruction of invariant tori in the complex cubic-quintic Ginzburg-Landau equation in the regime of anomalous linear dispersion as a function of the distance from linear onset. Using Poncaré sections, we sequentially find fixed points, quasiperiodicity (two incommesurate frequencies), frequency locking, two torus-doubling bifurcations (from a torus to a 2-fold torus and from a 2-fold torus to a 4-fold torus), the destruction of a 4-fold torus leading to non-explosive chaos, and finally explosive solitons. A narrow window, in which a 3-fold torus appears, is also observed inside the chaotic region.enTorusPhysicsQuasiperiodicityExplosive materialInvariant (physics)InstabilityMathematicsarticle