Elementary chaotic flow

被引：74

作者：

Linz, SJ ^{[1
]}

Sprott, JC

机构：

[1] Univ Augsburg, Inst Phys, D-86135 Augsburg, Germany

[2] Univ Wisconsin, Dept Phys, Madison, WI 53706 USA

来源：

PHYSICS LETTERS A | 1999年 / 259卷 / 3-4期

关键词：

chaos; jerk; flow; strange attractor; differential equations; fractal;

D O I：

10.1016/S0375-9601(99)00450-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using an extensive numerical search for the simplest chaotic non-polynomial autonomous three-dimensional dynamical systems, we identify an elementary third-order diffential equation that contains only one control parameter and only one nonlinearity in the form of the modulus of the dynamical variable. We discuss general properties of this equation and the possibility of chaotic behavior in functionally closely related equations. Finally, we present its analytical solution in an algorithmic way. (C) 1999 Published by Elsevier Science B.V. All rights reserved.

引用

页码：240 / 245

页数：6

共 23 条

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[Anonymous], PERSPECTIVES NONLINE

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ARGYRIS J, 1996, EXPLORATION CHAOS

[3]

Benettin G., 1980, MECCANICA, V15, P21, DOI DOI 10.1007/BF02128237

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