Connecting curves in higher dimensions

被引：3

作者：

Byrne, Greg ^{[1
]}

Gilmore, Robert ^{[2
]}

Cebral, Juan ^{[3
]}

机构：

[1] Georgia Inst Technol, Ctr Nonlinear Sci, Atlanta, GA 30332 USA

[2] Drexel Univ, Dept Phys, Philadelphia, PA 19104 USA

[3] George Mason Univ, Ctr Computat Fluid Dynam, Fairfax, VA 22030 USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2014年 / 47卷 / 21期

关键词：

chaos; connecting curves; vortex core curves; catastrophe theory; strange attractor;

D O I：

10.1088/1751-8113/47/21/215101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Connecting curves have been shown to organize the rotational structure of strange attractors in three-dimensional dynamical systems. We extend the description of connecting curves and their properties to higher dimensions within a special class of differential dynamical systems. The general properties of connecting curves are derived and selection rules stated. Examples are presented to illustrate these properties for dynamical systems of dimension n = 3, 4, 5.

引用

页数：21

共 9 条

[1]

[Anonymous], 1971, STABILITE STRUCTUREL

[2]

Arnold V. I., 1971, Russian Math. Surveys, V26, P29

[3] Connecting curves for dynamical systems [J].

Gilmore, R. ;

Ginoux, Jean-Marc ;

Jones, Timothy ;

Letellier, C. ;

Freitas, U. S. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (25)

[4]

Gilmore R., 1981, Catastrophe theory for scientists and engineers

[5]

Peikert R., 1999, Proceedings Visualization '99 (Cat. No.99CB37067), P263, DOI 10.1109/VISUAL.1999.809896

[6]

Poston T., 1978, CATASTROPHE THEORY A

[7]

Press W. H., 2002, NUMERICAL RECIPES C

[8] A higher-order method for finding vortex core lines [J].

Roth, M ;

Peikert, R .

VISUALIZATION '98, PROCEEDINGS, 1998, :143-+

[9]

Zeeman E C, 1976, CATASTROPHE THEORY S

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