Chaotic attractors generated by iterated function systems: 'Harmonic decompositions' and the onset of chaos

被引：5

作者：

Bahar, S

机构：

[1] Department of Biophysics, Univ. of Rochester Medical Center, Rochester

来源：

CHAOS SOLITONS & FRACTALS | 1997年 / 8卷 / 03期

关键词：

D O I：

10.1016/S0960-0779(96)00132-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe the onset of chaos in iterated function systems (IFS) with time-dependent forcing terms. It is shown that random selection of transformations in the IFS is essential for the generation of a chaotic attractor. Ordered selections of transformations generate closed orbits which may be used to characterize the emergence of chaotic behavior. (C) 1997 Elsevier Science Ltd.

引用

页码：303 / 312

页数：10

共 4 条

[1] Patterns of bifurcation in iterated function systems
Bahar, S
[J]. CHAOS SOLITONS & FRACTALS, 1996, 7 (02) : 205 - 210
[2] CHAOTIC ORBITS AND BIFURCATION FROM A FIXED-POINT GENERATED BY AN ITERATED FUNCTION SYSTEM
BAHAR, S
[J]. CHAOS SOLITONS & FRACTALS, 1995, 5 (06) : 1001 - 1006
[3] Further studies of bifurcations and chaotic orbits generated by iterated function systems
Bahar, S
[J]. CHAOS SOLITONS & FRACTALS, 1996, 7 (01) : 41 - 47
[4] MINDLIN GG, 1990, PHYS REV LETT, V6420, P2350

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