Structurally stable but chaotic limit set of E-infinity Cantorian space–time

L. Marek-Crnjac

Chaos, Solitons & Fractals, 2005, vol. 23, issue 5, 1515-1520

Abstract: In the present work, first we give some definitions and theorems on hyperbolic maps, 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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:23:y:2005:i:5:p:1515-1520

DOI: 10.1016/j.chaos.2004.07.036

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