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

Abstract

Najprej zapišemo nekaj definicij in izrekov o hiperboličnih preslikavah, strukturalni stabilnosti in deterministicnem kaosu. Limitna množica Kleinove transformacije, ki deluje na E-neskončno Cantorjevem prostor-času, je množica periodicnih verižnih ulomkov (Chaos, Solitons and Fractals 2004; 21; 9-19). Ta množica ima hiperbolično strukturo in je strukturalno stabilna. Pokažemo, da pojav transverzalnih homokliničnih točk inducira kaotično obnašanje množice.

Keywords

matematika;Kleinova transformacija;hiperbolična preslikava;strukturalna stabilnost;transverzalna homoklinična točka;Fibonaccijevo zaporedje;mathematics;Kleinian transformation;hyperbolic map;structurally stability;transverzal homoclinic point;Fibonacci sequence;

Data

Language:	English
Year of publishing:	2005
Typology:	1.01 - Original Scientific Article
Organization:	UM FS - Faculty of Mechanical Engineering
UDC:	515.168
COBISS:	9356310
ISSN:	0960-0779
Views:	1159
Downloads:	104
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	Strukturno stabilna vendar kaotična limitna množica E-neskončno Cantorjevega prostor-časa
Secondary 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.
Secondary keywords:	matematika;
URN:	URN:SI:UM:
Pages:	str. 1515-1520
Volume:	ǂVol. ǂ23
Issue:	ǂiss. ǂ5
Chronology:	2005
ID:	8718471