Comment on "Simple approach to the creation of a strange nonchaotic attractor in any chaotic system"

被引:5
|
作者
Neumann, E [1 ]
Pikovsky, A [1 ]
机构
[1] Univ Potsdam, Dept Phys, D-11415 Potsdam, Germany
来源
PHYSICAL REVIEW E | 2001年 / 64卷 / 05期
关键词
D O I
10.1103/PhysRevE.64.058201
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 address the problem of existence of strange nonchaotic attractors (SNAs) in quasiperiodically forced dynamical systems. Recently. Shuai and Wong [Phys. Rc. E 59, 5338 (1999)] suggested a universal method for constructing a SNA in an arbitrary system possessing chaos. We demonstrate here that, in general, this method fails. For arbitrary systems, it gibes a SNA only in a vicinity of transition to chaos. We discuss also a special example, where the method by Shuai and Wong indeed produces a SNA.
引用
收藏
页数:5
相关论文
共 32 条
  • [21] CHAOTIC STREAMLINES AND A STRANGE NONCHAOTIC ATTRACTOR IN DIVERGENCE-FREE FLOWS ON THE 3-SPHERE (VOL 3, PG 295, 1993)
    WEI, MZ
    DOWKER, JS
    CHAOS SOLITONS & FRACTALS, 1993, 3 (06) : 715 - 715
  • [22] A simple smooth chaotic system with a 3-layer attractor
    Zhou, TS
    Chen, GR
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2004, 14 (05): : 1795 - 1799
  • [23] QUASI-PERIODICITY, STRANGE NONCHAOTIC AND CHAOTIC ATTRACTORS IN A FORCED 2 DEGREES-OF-FREEDOM SYSTEM
    AWREJCEWICZ, J
    REINHARDT, WD
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1990, 41 (05): : 713 - 727
  • [24] Potential Function in a Continuous Dissipative Chaotic System: Decomposition Scheme and Role of Strange Attractor
    Ma, Yian
    Tan, Qijun
    Yuan, Ruoshi
    Yuan, Bo
    Ao, Ping
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2014, 24 (02):
  • [25] Coexistence of strange nonchaotic attractors and a special mixed attractor caused by a new intermittency in a periodically driven vibro-impact system
    Yuan Yue
    Pengcheng Miao
    Jianhua Xie
    Nonlinear Dynamics, 2017, 87 : 1187 - 1207
  • [26] Coexistence of strange nonchaotic attractors and a special mixed attractor caused by a new intermittency in a periodically driven vibro-impact system
    Yue, Yuan
    Miao, Pengcheng
    Xie, Jianhua
    NONLINEAR DYNAMICS, 2017, 87 (02) : 1187 - 1207
  • [27] Chaotic Attractor Generation via a Simple Linear Time-Varying System
    Ou, Baiyu
    Liu, Desheng
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2010, 2010
  • [28] Generation of Multi-Scroll Chaotic Attractor in a Simple State-Dependent Switched System: A Threshold Tuning Approach
    Shan, Xudong
    Huang, Xia
    Fan, Yingjie
    PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC), 2019, : 150 - 154
  • [29] Control of chaotic Lorenz system to approach any desired targets with feedback functions
    Tang, GN
    Luo, XS
    Kong, LJ
    ACTA PHYSICA SINICA, 2000, 49 (01) : 30 - 32
  • [30] Control of chaotic Lorenz system to approach any desired targets with feedback functions
    Tang, Guoning
    Luo, Xiaoshu
    Kong, Lingjiang
    Wuli Xuebao/Acta Physica Sinica, 2000, 49 (01): : 30 - 32