Non-chaotic behaviour in three-dimensional quadratic systems

被引:55
作者
Fu, Z
Heidel, J
机构
[1] Department of Mathematics, University of Nebraska at Omaha, Omaha
[2] Dept. of Mathematics and Statistics, University of Pittsburgh, Pittsburgh
关键词
D O I
10.1088/0951-7715/10/5/014
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
It is shown that three-dimensional dissipative quadratic systems of ordinary differential equations with a total of four terms on the right-hand side of the equations do not exhibit chaos. This complements recent work of Sprott who has given many examples of chaotic quadratic systems with as few as five terms on the right-hand side of the equations.
引用
收藏
页码:1289 / 1303
页数:15
相关论文
共 11 条
[1]  
Hartman P, 1964, ORDINARY DIFFERENTIA
[2]   SOME SIMPLE CHAOTIC FLOWS - REMARK [J].
HOOVER, WG .
PHYSICAL REVIEW E, 1995, 51 (01) :759-760
[3]  
JACKSON EA, 1990, PERSPECTIVE NONLINEA, V2
[4]  
LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO
[5]  
2
[6]  
Polyanin A., 1995, HDB EXACT SOLUTIONS
[7]   EQUATION FOR CONTINUOUS CHAOS [J].
ROSSLER, OE .
PHYSICS LETTERS A, 1976, 57 (05) :397-398
[8]   SOME SIMPLE CHAOTIC FLOWS [J].
SPROTT, JC .
PHYSICAL REVIEW E, 1994, 50 (02) :R647-R650
[9]   Simplest dissipative chaotic flow [J].
Sprott, JC .
PHYSICS LETTERS A, 1997, 228 (4-5) :271-274
[10]  
Wiggins S, 1990, INTRO APPL NONLINEAR, P194