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 50 条
  • [31] Routes to Chaos in a Three-Dimensional Cancer Model
    Karatetskaia, Efrosiniia
    Koryakin, Vladislav
    Soldatkin, Konstantin
    Kazakov, Alexey
    REGULAR & CHAOTIC DYNAMICS, 2024, 29 (05): : 777 - 793
  • [32] Chaos in three-dimensional higher spin gravity
    Narayan, Prithvi
    Yoon, Junggi
    JOURNAL OF HIGH ENERGY PHYSICS, 2019, 2019 (07)
  • [33] Three-dimensional, axisymmetric cusps without chaos
    Sridhar, S
    Touma, J
    MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 1997, 292 (03) : 657 - 661
  • [34] Chaos with a high-dimensional torus
    Yamagishi, Jumpei F.
    Kaneko, Kunihiko
    PHYSICAL REVIEW RESEARCH, 2020, 2 (02):
  • [35] Chaos in a three-dimensional Volterra-Gauss model of predator-prey type
    Ginoux, JM
    Rossetto, B
    Jamet, JL
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2005, 15 (05): : 1689 - 1708
  • [36] Reliability of three-dimensional consecutive k-type systems
    Yi, He
    Balakrishnan, Narayanaswamy
    Li, Xiang
    RELIABILITY ENGINEERING & SYSTEM SAFETY, 2023, 233
  • [37] Three-dimensional modelling of EUVE observations of the Io plasma torus
    Thomas, N
    Innes, DE
    Lieu, R
    ASTROPHYSICS IN THE EXTREME ULTRAVIOLET, 1996, : 457 - 464
  • [38] Measurement of global instability of compact torus by three-dimensional tomography
    Kawamori, E.
    Sumikawa, T.
    Ono, Y.
    Balandin, A.
    REVIEW OF SCIENTIFIC INSTRUMENTS, 2006, 77 (09):
  • [39] Three-dimensional simulations of blob dynamics in a simple magnetized torus
    Halpern, Federico D.
    Cardellini, Annalisa
    Ricci, Paolo
    Jolliet, Sebastien
    Loizu, Joaquim
    Mosetto, Annamaria
    PHYSICS OF PLASMAS, 2014, 21 (02)
  • [40] Broadcasting Algorithms of Three-Dimensional Petersen-Torus Network
    Kim, Jong-Seok
    Lee, Hyeong-Ok
    Kim, Mihye
    Kim, Sung Won
    JOURNAL OF APPLIED MATHEMATICS, 2014,