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

被引：0

作者：

Marek-Crnjac, L ^{[1
]}

机构：

[1] Univ Maribor, Fac Mech Engn, SI-2000 Maribor, Slovenia

来源：

CHAOS SOLITONS & FRACTALS | 2005年 / 23卷 / 05期

关键词：

D O I：

10.1016/j.chaos.2004.07.036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1515 / 1520

页数：6

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