Chaos of 'split torus' type in three-dimensional relaxation systems

被引:0
作者
Kolesov, AY [1 ]
Kolesov, YS
Rozov, NK
机构
[1] Yaroslavl State Univ, Yaroslavl, Russia
[2] Moscow State Univ, Moscow, Russia
关键词
D O I
10.1070/SM1997v188n11ABEH000272
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For a three-dimensional singularly perturbed system of ordinary differential equations with two slow variables and one fast variable conditions are indicated under which stochastic behaviour of the solutions is observed. This phenomenon is called chaos of 'split torus' type.
引用
收藏
页码:1571 / 1586
页数:16
相关论文
共 17 条
  • [1] [Anonymous], 1995, PERIODIC MOTIONS BIF
  • [2] CHENTSOVA NN, 1983, METHODS QUALITATIVE, P95
  • [3] CHENTSOVA NN, 1982, USP MAT NAUK, V37, P205
  • [4] Hartman P, 1964, ORDINARY DIFFERENTIA
  • [5] CIRCULAR CAUSAL SYSTEMS IN ECOLOGY
    HUTCHINSON, GE
    [J]. ANNALS OF THE NEW YORK ACADEMY OF SCIENCES, 1948, 50 (04) : 221 - 246
  • [6] KOLESOV AY, 1991, IZV AKAD NAUK SSSR, V55, P515
  • [7] KOLESOV AY, 1988, USP MAT NAUK, V43, P141
  • [8] KOLESOV AY, 1989, MAT ZAMETKI, V46, P153
  • [9] KOLESOV AY, 1987, DIFF URAVN, V23, P1881
  • [10] KOLESOV AY, 1988, MAT SBORNIK, V137, P3