Spiral organization of periodic structures in the Lorenz-Stenflo system

被引：20

作者：

Rech, Paulo C. ^{[1
]}

机构：

[1] Univ Estado Santa Catarina, Dept Fis, BR-89219710 Joinville, Brazil

来源：

PHYSICA SCRIPTA | 2016年 / 91卷 / 07期

关键词：

Lorenz-Stenflo system; chaos; Lyapunov exponents; spiral organization; period-adding; EQUATIONS; DYNAMICS;

D O I：

10.1088/0031-8949/91/7/075201

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper reports the existence of organized periodic structures embedded in chaotic regions of a parameter plane of the Lorenz-Stenflo system. More specifically, this work reports on spiral organization of periodic structures observed in the (sigma, s) parameter plane of the Lorenz-Stenflo system.

引用

页数：4

共 45 条

[41] Spiral as the fundamental graphic representation of the Periodic Law. Blocks of elements as the autonomic parts of the Periodic System
Imyanitov, Naum S.
FOUNDATIONS OF CHEMISTRY, 2016, 18 (02) : 153 - 173
[42] Topological classification of periodic orbits in the generalized Lorenz-type system with diverse symbolic dynamics
Dong, Chengwei
Liu, Huihui
Jie, Qi
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[43] Global organization of spiral structures in biparameter space of dissipative systems with Shilnikov saddle-foci
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PHYSICAL REVIEW E, 2011, 84 (03):
[44] Rheostatic effect of a magnetic field on the onset of chaotic and periodic motions in a five-dimensional magnetoconvective Lorenz system
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CHAOS SOLITONS & FRACTALS, 2025, 192
[45] Periodic, quasi-periodic, chaotic waves and solitonic structures of coupled Benjamin-Bona-Mahony-KdV system
Hussain, Amjad
Abbas, Naseem
PHYSICA SCRIPTA, 2024, 99 (12)

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