Nonchaotic behaviour in three-dimensional quadratic systems - II. The conservative case

被引：19

作者：

Heidel, J ^{[1
]}

Fu, Z

机构：

[1] Univ Nebraska, Dept Math, Omaha, NE 68182 USA

[2] Univ Pittsburgh, Dept Math & Stat, Pittsburgh, PA 15260 USA

来源：

NONLINEARITY | 1999年 / 12卷 / 03期

关键词：

D O I：

10.1088/0951-7715/12/3/012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that almost all three-dimensional conservative quadratic systems of ordinary differential equations with a total of four terms on the right-hand side of the equations do not exhibit chaos. A previous paper showed the same thing for dissipative systems.

引用

页码：617 / 633

页数：17

共 7 条

[1] Non-chaotic behaviour in three-dimensional quadratic systems [J].

Fu, Z ;

Heidel, J .

NONLINEARITY, 1997, 10 (05) :1289-1303

[2] SOME SIMPLE CHAOTIC FLOWS - REMARK [J].

HOOVER, WG .

PHYSICAL REVIEW E, 1995, 51 (01) :759-760

[3] Time-reversal symmetry in dynamical systems: A survey [J].

Lamb, JSW ;

Roberts, JAG .

PHYSICA D, 1998, 112 (1-2) :1-39

[4] UNIQUENESS OF CONNECTING ORBITS IN THE EQUATION Y(3)=Y2-1 [J].

MCCORD, CK .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 114 (02) :584-592

[5]

Polyanin A., 1995, HDB EXACT SOLUTIONS

[6] SOME SIMPLE CHAOTIC FLOWS [J].

SPROTT, JC .

PHYSICAL REVIEW E, 1994, 50 (02) :R647-R650

[7] Simplest dissipative chaotic flow [J].

Sprott, JC .

PHYSICS LETTERS A, 1997, 228 (4-5) :271-274

← 1 →