Perturbed on-off intermittency

被引:15
|
作者
Marthaler, D. [1 ]
Armbruster, D. [1 ]
Lai, Y.-C. [1 ]
Kostelich, E.J. [1 ]
机构
[1] Department of Mathematics, Arizona State University, Tempe, AZ 85287, United States
来源
| 2001年 / American Institute of Physics Inc.卷 / 64期
关键词
Chaos theory - Computational geometry - Computational methods - Computer simulation - Fractals - Lyapunov methods - Mathematical models - Nonlinear systems - Probability density function - Probability distributions - Set theory - Time series analysis;
D O I
10.1103/PhysRevE.64.016220
中图分类号
学科分类号
摘要
A study was conducted to determine how on-off intermittency is affected when there is a perturbation so that the invariant subspace no longer exists. Two important scales in the problem were considered. One is the threshold yth of a variable y transverse to the invariant manifold, and the other is the perturbation parameter η that characterizes the extent of the symmetry breaking. It was found that a qualitative change in the characteristics of on-off intermittency occurs immediately as η is increased from zero in both cases.
引用
收藏
相关论文
共 50 条
  • [41] Diffusional model for noisy on-off intermittency
    Cenys, A
    Ulbikas, J
    Anagnostopoulos, AN
    Bleris, GL
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (02): : 355 - 359
  • [42] On-off intermittency in a Zeeman laser model
    Redondo, J.
    Roldán, Eugenio
    De Valcárcel, G.J.
    Physics Letters, Section A: General, Atomic and Solid State Physics, 1996, 210 (4-5): : 301 - 306
  • [43] ON-OFF INTERMITTENCY IN AN EXPERIMENTAL SYNCHRONIZATION PROCESS
    YU, YH
    KWAK, K
    LIM, TK
    PHYSICS LETTERS A, 1995, 198 (01) : 34 - 38
  • [44] Statistical properties of the noisy on-off intermittency
    Cenys, A
    Lustfeld, H
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (01): : 11 - 20
  • [45] Observation of on-off intermittency in cellular automata
    Jiménez-Morales, F
    THEORETICAL AND PRACTICAL ISSUES ON CELLULAR AUTOMATA, 2001, : 55 - 62
  • [46] On-off intermittency in chaotic synchronization experiment
    Cenys, A
    Namajunas, A
    Tamasevicius, A
    Schneider, T
    PHYSICS LETTERS A, 1996, 213 (5-6) : 259 - 264
  • [47] Spatiotemporal on-off intermittency by random driving
    Qu, Zhilin
    Xie, Fagen
    Hu, Gang
    Physical Review E. Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1996, 53 (02):
  • [48] On-off intermittency at the threshold of weak synchronization of chaos
    Pyragas, K
    CHAOS SOLITONS & FRACTALS, 1998, 9 (1-2) : 337 - 342
  • [49] On-off intermittency in randomly driven parallel pumping
    Krawiecki, A
    ACTA PHYSICA POLONICA A, 1997, 92 (02) : 465 - 468
  • [50] On-off intermittency and intermingledlike basins in a granular medium
    Schmick, M
    Goles, E
    Markus, M
    PHYSICAL REVIEW E, 2002, 66 (06): : 4 - 066214