Strange nonchaotic attractors in autonomous and periodically driven systems

被引:28
|
作者
Anishchenko, VS
Vadivasova, TE
Sosnovtseva, O
机构
[1] Physics Department, Saratov State University, Saratov, 410071
来源
PHYSICAL REVIEW E | 1996年 / 54卷 / 04期
关键词
D O I
10.1103/PhysRevE.54.3231
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We demonstrate that a strange nonchaotic attractor can be realized not only in quasiperiodically driven systems but also in autonomous and periodically forced systems. We show that the destruction of an ergodic torus via a band-merging crisis and the appearance of a strange nonchaotic attractor are applicable to a wide class of dynamical systems.
引用
收藏
页码:3231 / 3234
页数:4
相关论文
共 50 条
  • [1] Comment on "Strange nonchaotic attractors in autonomous and periodically driven systems"
    Pikovsky, A
    Feudel, U
    PHYSICAL REVIEW E, 1997, 56 (06): : 7320 - 7321
  • [3] Reply to "Comment on 'Strange nonchaotic attractors in autonomous and periodically driven systems'"
    Anishchenko, VS
    Vadivasova, TE
    Sosnovtseva, O
    PHYSICAL REVIEW E, 1997, 56 (06): : 7322 - 7322
  • [4] Strange nonchaotic attractors in driven excitable systems
    Prasad, A
    Biswal, B
    Ramaswamy, R
    PHYSICAL REVIEW E, 2003, 68 (03):
  • [5] QUASI-PERIODICALLY FORCED DYNAMIC-SYSTEMS WITH STRANGE NONCHAOTIC ATTRACTORS
    ROMEIRAS, FJ
    BONDESON, A
    OTT, E
    ANTONSEN, TM
    GREBOGI, C
    PHYSICA D, 1987, 26 (1-3): : 277 - 294
  • [6] Strange nonchaotic attractors
    Prasad, A
    Negi, SS
    Ramaswamy, R
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2001, 11 (02): : 291 - 309
  • [7] Strange nonchaotic attractors in random dynamical systems
    Wang, XG
    Zhan, M
    Lai, CH
    Lai, YC
    PHYSICAL REVIEW LETTERS, 2004, 92 (07) : 741021 - 741024
  • [8] STRANGE NONCHAOTIC ATTRACTORS IN A PERIODICALLY FORCED PIECEWISE LINEAR SYSTEM WITH NOISE
    Li, Gaolei
    Yue, Yuan
    Grebogi, Celso
    Li, Denghui
    Xie, Jianhua
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2022, 30 (01)
  • [9] STRANGE NONCHAOTIC ATTRACTORS OF A QUASI-PERIODICALLY FORCED VANDERPOL OSCILLATOR
    KAPITANIAK, T
    WOJEWODA, J
    JOURNAL OF SOUND AND VIBRATION, 1990, 138 (01) : 162 - 169
  • [10] Multiple attractors and strange nonchaotic dynamical behavior in a periodically forced system
    Chithra, A.
    Raja Mohamed, I.
    NONLINEAR DYNAMICS, 2021, 105 (04) : 3615 - 3635