Structurally stable but chaotic limit set of E-infinity Cantorian space-timeMarek-Crnjac, Leila (Avtor) mathematicsIn the present work, first we give some definitions and theorems on hyperbolicmaps, structurally stability and deterministic chaos. The limit set of the Kleinian transformation acting on the E-infinity Cantorian space-time turned out to be a set of periodic continued fractions as shown in [Chaos, Solitons & Fractals, 21 (2004) 9]. That set has a hyperbolic structure and is structurally stable. Subsequently, we show that the appearance of transversal homoclinic points induces a chaotic behavior in that set.20052012-06-01 10:07:37Neznano27225sl