Simplest dissipative chaotic flow

被引：236

作者：

Sprott, JC

机构：

[1] Department of Physics, University of Wisconsin, Madison

来源：

PHYSICS LETTERS A | 1997年 / 228卷 / 4-5期

关键词：

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

D O I：

10.1016/S0375-9601(97)00088-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Numerical examination of third-order, autonomous ODEs with one dependent variable and quadratic nonlinearities has uncovered what appears to be the algebraically simplest example of a dissipative chaotic flow, <(x)triple over dot + A(x) double over dot - (x)(2) over dot + x = 0. This system exhibits a period-doubling route to chaos for 2.017 < A < 2.082 and is approximately described by a one-dimensional quadratic map. (C) 1997 Published by Elsevier Science B.V.

引用

页码：271 / 274

页数：4

共 14 条

[1]

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[2]

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

[3] Question # 38. What is the simplest jerk function that gives chaos? [J].